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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

He, Cheng, Xiao-Chen Sun, Xiao-Ping Liu, Ming-Hui Lu, Yulin Chen, Liang Feng, and Yan-Feng Chen. "Photonic topological insulator with broken time-reversal symmetry." Proceedings of the National Academy of Sciences 113, no. 18 (April 18, 2016): 4924–28. http://dx.doi.org/10.1073/pnas.1525502113.

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A topological insulator is a material with an insulating interior but time-reversal symmetry-protected conducting edge states. Since its prediction and discovery almost a decade ago, such a symmetry-protected topological phase has been explored beyond electronic systems in the realm of photonics. Electrons are spin-1/2 particles, whereas photons are spin-1 particles. The distinct spin difference between these two kinds of particles means that their corresponding symmetry is fundamentally different. It is well understood that an electronic topological insulator is protected by the electron’s spin-1/2 (fermionic) time-reversal symmetry Tf2=−1. However, the same protection does not exist under normal circumstances for a photonic topological insulator, due to photon’s spin-1 (bosonic) time-reversal symmetry Tb2=1. In this work, we report a design of photonic topological insulator using the Tellegen magnetoelectric coupling as the photonic pseudospin orbit interaction for left and right circularly polarized helical spin states. The Tellegen magnetoelectric coupling breaks bosonic time-reversal symmetry but instead gives rise to a conserved artificial fermionic-like-pseudo time-reversal symmetry, Tp (Tp2=−1), due to the electromagnetic duality. Surprisingly, we find that, in this system, the helical edge states are, in fact, protected by this fermionic-like pseudo time-reversal symmetry Tp rather than by the bosonic time-reversal symmetry Tb. This remarkable finding is expected to pave a new path to understanding the symmetry protection mechanism for topological phases of other fundamental particles and to searching for novel implementations for topological insulators.

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2

Diamantini, M. C., and C. A. Trugenberger. "Bosonic topological insulators at the superconductor-to-superinsulator transition." Journal of Mathematical Physics 64, no. 2 (February 1, 2023): 021101. http://dx.doi.org/10.1063/5.0135522.

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We review the topological gauge theory of the superconductor-to-superinsulator transition. The possible intermediate Bose metal phase intervening between these two states is a bosonic topological insulator. We point out that the correct treatment of a bosonic topological insulator requires a normally neglected, additional dimensionless parameter, which arises because of the non-commutativity between the infinite gap limit and phase space reduction. We show that the bosonic topological insulator is a functional first Landau level. The additional parameter drives two Berezinskii–Kosterlitz–Thouless (BKT) quantum transitions to superconducting and superinsulating phases, respectively. The two BKT correlation scales account for the emergent granularity observed around the transition. Finally, we derive the ground state wave function for a system of charges and vortices in the Bose metal phase.

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3

KOU, SU-PENG, and RONG-HUA LI. "BOSONIC GUTZWILLER PROJECTION APPROACH FOR THE BOSE–HUBBARD MODEL." International Journal of Modern Physics B 21, no. 02 (January 20, 2007): 249–64. http://dx.doi.org/10.1142/s0217979207036497.

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In this paper, a new Bosonic Gutzwiller projection approach is proposed to study the strongly correlated bosons in optical lattice. In this method, there exist many variational parameters which make us calculate the physical characters of states, including the double occupation rate and the higher occupation rates. Based on this approach, a quantum phase transition from superfluid state to Mott insulator state is obtained for the homogenous phase at unit filling.

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4

Diamantini, M. C., A. Yu Mironov, S. M. Postolova, X. Liu, Z. Hao, D. M. Silevitch, Ya Kopelevich, P. Kim, C. A. Trugenberger, and V. M. Vinokur. "Bosonic topological insulator intermediate state in the superconductor-insulator transition." Physics Letters A 384, no. 23 (August 2020): 126570. http://dx.doi.org/10.1016/j.physleta.2020.126570.

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5

He, Yan, and Chih-Chun Chien. "Topological classifications of quadratic bosonic excitations in closed and open systems with examples." Journal of Physics: Condensed Matter 34, no. 17 (February 28, 2022): 175403. http://dx.doi.org/10.1088/1361-648x/ac53da.

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Abstract The topological classifications of quadratic bosonic systems according to the symmetries of the dynamic matrices from the equations of motion of closed systems and the effective Hamiltonians from the Lindblad equations of open systems are analyzed. While the non-Hermitian dynamic matrix and effective Hamiltonian both lead to a ten-fold way table, the system-reservoir coupling may cause a system with or without coupling to a reservoir to fall into different classes. A 2D Chern insulator is shown to be insensitive to the different classifications. In contrast, we present a 1D bosonic Su–Schrieffer–Heeger model with chiral symmetry and a 2D bosonic topological insulator with time-reversal symmetry to show the corresponding open systems may fall into different classes if the Lindblad operators break the symmetry.

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6

RANNINGER, JULIUS. "SUPERFLUID TO BOSE METAL TRANSITION IN SYSTEMS WITH RESONANT PAIRING." International Journal of Modern Physics B 22, no. 25n26 (October 20, 2008): 4379–85. http://dx.doi.org/10.1142/s0217979208050139.

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Анотація:

Experiments in thin films whose thickness can be modified and by this way induce a superconductor to insulator transition, seem to suggest that in the quantum critical regime of this phase transition there might be a Bose metal, i.e., uncondensed bosonic carriers with a finite dissipation. This poses a fundamental problem as to our understanding of how such a state could be justified. On the basis of a simple Boson-Fermion model, where bosonic and fermionic degrees of freedom are strongly inter-related via a Boson-Fermion pair exchange coupling g, we illustrate how such a bosonic metal phase could possibly come about. We show that, as we approach the quantum critical point at some critical gc from the superfluid side, the superfluid phase locking is sustained only for longer and longer spatial scales. On a finite spatial scale, the boson have a quasi-free itinerant behavior with metallic features. At the quantum critical point the systems exhibits a phase separation which shows a ressemblance to that of a He 3– He 4 mixture. This could be the clue to the apparent dilemma of a Bose metal at zero temperature.

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7

Cruz, G. J., R. Franco, and J. Silva-Valencia. "Mott insulator and superfluid phases in bosonic superlattices." Journal of Physics: Conference Series 687 (February 2016): 012065. http://dx.doi.org/10.1088/1742-6596/687/1/012065.

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8

HOU, JING-MIN. "QUANTUM PHASES OF ULTRACOLD BOSONIC ATOMS IN A TWO-DIMENSIONAL OPTICAL SUPERLATTICE." Modern Physics Letters B 23, no. 01 (January 10, 2009): 25–33. http://dx.doi.org/10.1142/s0217984909017820.

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Анотація:

We study quantum phases of ultracold bosonic atoms in a two-dimensional optical superlattice. The extended Bose–Hubbard model derived from the system of ultracold bosonic atoms in an optical superlattice is solved numerically with the Gutzwiller approach. We find that the modulated superfluid (MS), Mott-insulator (MI) and density-wave (DW) phases appear in some regimes of parameters. The experimental detection of the first-order correlations and the second-order correlations of different quantum phases with time-of-flight and noise-correlation techniques is proposed.

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9

REY, ANA M., ESTEBAN A. CALZETTA, and BEI-LOK HU. "BOSE - EINSTEIN CONDENSATE SUPERFLUID - MOTT INSULATOR TRANSITION IN AN OPTICAL LATTICE." International Journal of Modern Physics B 20, no. 30n31 (December 20, 2006): 5214–17. http://dx.doi.org/10.1142/s0217979206036284.

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Анотація:

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator transition.

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10

Yang, Chao, Yi Liu, Yang Wang, Liu Feng, Qianmei He, Jian Sun, Yue Tang, et al. "Intermediate bosonic metallic state in the superconductor-insulator transition." Science 366, no. 6472 (November 14, 2019): 1505–9. http://dx.doi.org/10.1126/science.aax5798.

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Whether a metallic ground state exists in a two-dimensional system beyond Anderson localization remains an unresolved question. We studied how quantum phase coherence evolves across superconductor–metal–insulator transitions through magnetoconductance quantum oscillations in nanopatterned high-temperature superconducting films. We tuned the degree of phase coherence by varying the etching time of our films. Between the superconducting and insulating regimes, we detected a robust intervening anomalous metallic state characterized by saturating resistance and oscillation amplitude at low temperatures. Our measurements suggest that the anomalous metallic state is bosonic and that the saturation of phase coherence plays a prominent role in its formation.

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11

LIANG, JUN-JUN, J. Q. LIANG, and W. M. LIU. "ENERGY SPECTRUM AND SUPERFLUID-MOTT INSULATOR PHASE TRANSITION OF ULTRACOLD BOSONS IN OPTICAL LATTICE." International Journal of Modern Physics B 17, no. 25 (October 10, 2003): 4593–600. http://dx.doi.org/10.1142/s0217979203022805.

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Анотація:

Green function metheod is introduced to investigate ultracold dilute gas of bosonic atoms in an optical lattice which can be described by a Bose–Hubbard model. The superfluid–Mott insulator phase transition condition is determined by the related energy-band structure with an obvious interpretation of the transition mechanism.

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12

Danshita, Ippei, Nobuhiko Yokoshi, and Susumu Kurihara. "Phase dependence of phonon tunnelling in bosonic superfluid–insulator–superfluid junctions." New Journal of Physics 8, no. 3 (March 28, 2006): 44. http://dx.doi.org/10.1088/1367-2630/8/3/044.

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13

Kato, Yasuyuki, K. A. Al-Hassanieh, A. E. Feiguin, Eddy Timmermans, and C. D. Batista. "Novel polaron state for single impurity in a bosonic Mott insulator." EPL (Europhysics Letters) 98, no. 4 (May 1, 2012): 46003. http://dx.doi.org/10.1209/0295-5075/98/46003.

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14

Li, Yangmu, J. Terzic, P. G. Baity, Dragana Popović, G. D. Gu, Qiang Li, A. M. Tsvelik, and J. M. Tranquada. "Tuning from failed superconductor to failed insulator with magnetic field." Science Advances 5, no. 6 (June 2019): eaav7686. http://dx.doi.org/10.1126/sciadv.aav7686.

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Do charge modulations compete with electron pairing in high-temperature copper oxide superconductors? We investigated this question by suppressing superconductivity in a stripe-ordered cuprate compound at low temperature with high magnetic fields. With increasing field, loss of three-dimensional superconducting order is followed by reentrant two-dimensional superconductivity and then an ultraquantum metal phase. Circumstantial evidence suggests that the latter state is bosonic and associated with the charge stripes. These results provide experimental support to the theoretical perspective that local segregation of doped holes and antiferromagnetic spin correlations underlies the electron-pairing mechanism in cuprates.

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15

Costa Farias, R. J., and M. C. de Oliveira. "Entanglement and the Mott insulator–superfluid phase transition in bosonic atom chains." Journal of Physics: Condensed Matter 22, no. 24 (June 2, 2010): 245603. http://dx.doi.org/10.1088/0953-8984/22/24/245603.

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16

Becca, Federico, and Manuela Capello. "Variational approach for the superfluid–insulator transition in the bosonic Hubbard model." Physica B: Condensed Matter 403, no. 5-9 (April 2008): 1293–94. http://dx.doi.org/10.1016/j.physb.2007.10.192.

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17

Adhikari, Rajdeep, Bogdan Faina, Verena Ney, Julia Vorhauer, Antonia Sterrer, Andreas Ney, and Alberta Bonanni. "Effect of Impurity Scattering on Percolation of Bosonic Islands and Superconductivity in Fe Implanted NbN Thin Films." Nanomaterials 12, no. 18 (September 7, 2022): 3105. http://dx.doi.org/10.3390/nano12183105.

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Анотація:

A reentrant temperature dependence of the thermoresistivity ρxx(T) between an onset local superconducting ordering temperature Tloconset and a global superconducting transition at T=Tglooffset has been reported in disordered conventional 3-dimensional (3D) superconductors. The disorder of these superconductors is a result of either an extrinsic granularity due to grain boundaries, or of an intrinsic granularity ascribable to the electronic disorder originating from impurity dopants. Here, the effects of Fe doping on the electronic properties of sputtered NbN layers with a nominal thickness of 100 nm are studied by means of low-T/high-μ0H magnetotransport measurements. The doping of NbN is achieved via implantation of 35 keV Fe ions. In the as-grown NbN films, a local onset of superconductivity at Tloconset=15.72K is found, while the global superconducting ordering is achieved at Tglooffset=15.05K, with a normal state resistivity ρxx=22μΩ·cm. Moreover, upon Fe doping of NbN, ρxx=40μΩ·cm is estimated, while Tloconset and Tglooffset are measured to be 15.1 K and 13.5 K, respectively. In Fe:NbN, the intrinsic granularity leads to the emergence of a bosonic insulator state and the normal-metal-to-superconductor transition is accompanied by six different electronic phases characterized by a N-shaped T dependence of ρxx(T). The bosonic insulator state in a s-wave conventional superconductor doped with dilute magnetic impurities is predicted to represent a workbench for emergent phenomena, such as gapless superconductivity, triplet Cooper pairings and topological odd frequency superconductivity.

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18

Polak, T. P., and T. K. Kopéc. "Quantum rotor description of the bosonic superfluid-Mott insulator transition in optical lattices." physica status solidi (b) 246, no. 5 (April 3, 2009): 981–84. http://dx.doi.org/10.1002/pssb.200881560.

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19

Sajna, A. S. "Tuning linear response dynamics near the Dirac points in the bosonic Mott insulator." Annals of Physics 406 (July 2019): 257–68. http://dx.doi.org/10.1016/j.aop.2019.02.011.

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20

Richaud, Andrea, and Vittorio Penna. "Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices." Condensed Matter 5, no. 1 (January 8, 2020): 2. http://dx.doi.org/10.3390/condmat5010002.

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Анотація:

We investigate a notable class of states peculiar to a bosonic binary mixture featuring repulsive intraspecies and attractive interspecies couplings. We evidence that, for small values of the hopping amplitudes, one can access particular regimes marked by the fact that the interwell boson transfer occurs in a jerky fashion. This property is shown to be responsible for the emergence of a staircase-like structure in the phase diagram of a mixture confined in a ring trimer and to resemble the mechanism of the superfluid-Mott insulator transition strongly. Under certain conditions, in fact, we show that it is possible to interpret the interspecies attraction as an effective chemical potential and the supermixed soliton as an effective particle reservoir. Our investigation is developed both within a fully quantum approach based on the analysis of several quantum indicators and by means of a simple analytical approximation scheme capable of capturing the essential features of this ultraquantum effect.

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21

Lv, Jian-Ping, and Jian-Sheng Wang. "Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo study." EPL (Europhysics Letters) 123, no. 1 (August 10, 2018): 10004. http://dx.doi.org/10.1209/0295-5075/123/10004.

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22

Mukherjee, Sebabrata, and Mikael C. Rechtsman. "Observation of Floquet solitons in a topological bandgap." Science 368, no. 6493 (May 21, 2020): 856–59. http://dx.doi.org/10.1126/science.aba8725.

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Topological protection is a universal phenomenon that applies to electronic, photonic, ultracold atomic, mechanical, and other systems. The vast majority of research in these systems has explored the linear domain, where interparticle interactions are negligible. We experimentally observed solitons—waves that propagate without changing shape as a result of nonlinearity—in a photonic Floquet topological insulator. These solitons exhibited distinct behavior in that they executed cyclotron-like orbits associated with the underlying topology. Specifically, we used a waveguide array with periodic variations along the waveguide axis, giving rise to nonzero winding number, and the nonlinearity arose from the optical Kerr effect. This result applies to a range of bosonic systems because it is described by the focusing nonlinear Schrödinger equation (equivalently, the attractive Gross-Pitaevskii equation).

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23

Batrouni, G. G., V. G. Rousseau, R. T. Scalettar, and B. Grémaud. "Competition between the Haldane insulator, superfluid and supersolid phases in the one-dimensional Bosonic Hubbard Model." Journal of Physics: Conference Series 640 (September 28, 2015): 012042. http://dx.doi.org/10.1088/1742-6596/640/1/012042.

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24

Kashurnikov, V. A., A. V. Krasavin, and B. V. Svistunov. "Mott-insulator-superfluid-liquid transition in a one-dimensional bosonic Hubbard model: Quantum Monte Carlo method." Journal of Experimental and Theoretical Physics Letters 64, no. 2 (July 1996): 99–104. http://dx.doi.org/10.1134/1.567139.

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25

Hruby, Lorenz, Nishant Dogra, Manuele Landini, Tobias Donner, and Tilman Esslinger. "Metastability and avalanche dynamics in strongly correlated gases with long-range interactions." Proceedings of the National Academy of Sciences 115, no. 13 (March 8, 2018): 3279–84. http://dx.doi.org/10.1073/pnas.1720415115.

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We experimentally study the stability of a bosonic Mott insulator against the formation of a density wave induced by long-range interactions and characterize the intrinsic dynamics between these two states. The Mott insulator is created in a quantum degenerate gas of 87-Rubidium atoms, trapped in a 3D optical lattice. The gas is located inside and globally coupled to an optical cavity. This causes interactions of global range, mediated by photons dispersively scattered between a transverse lattice and the cavity. The scattering comes with an atomic density modulation, which is measured by the photon flux leaking from the cavity. We initialize the system in a Mott-insulating state and then rapidly increase the global coupling strength. We observe that the system falls into either of two distinct final states. One is characterized by a low photon flux, signaling a Mott insulator, and the other is characterized by a high photon flux, which we associate with a density wave. Ramping the global coupling slowly, we observe a hysteresis loop between the two states—a further signature of metastability. A comparison with a theoretical model confirms that the metastability originates in the competition between short- and global-range interactions. From the increasing photon flux monitored during the switching process, we find that several thousand atoms tunnel to a neighboring site on the timescale of the single-particle dynamics. We argue that a density modulation, initially forming in the compressible surface of the trapped gas, triggers an avalanche tunneling process in the Mott-insulating region.

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26

Fazzini, Serena, and Arianna Montorsi. "Hidden Charge Orders in Low-Dimensional Mott Insulators." Applied Sciences 9, no. 4 (February 22, 2019): 784. http://dx.doi.org/10.3390/app9040784.

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The opening of a charge gap driven by interaction is a fingerprint of the transition to a Mott insulating phase. In strongly correlated low-dimensional quantum systems, it can be associated to the ordering of hidden non-local operators. For Fermionic 1D models, in the presence of spin–charge separation and short-ranged interaction, a bosonization analysis proves that such operators are the parity and/or string charge operators. In fact, a finite fractional non-local parity charge order is also capable of characterizing some two-dimensional Mott insulators, in both the Fermionic and the bosonic cases. When string charge order takes place in 1D, degenerate edge modes with fractional charge appear, peculiar of a topological insulator. In this article, we review the above framework, and we test it to investigate through density-matrix-renormalization-group (DMRG) numerical analysis the robustness of both hidden orders at half-filling in the 1D Fermionic Hubbard model extended with long range density-density interaction. The preliminary results obtained at finite size including several neighbors in the case of dipolar, screened and unscreened repulsive Coulomb interactions, confirm the phase diagram of the standard extended Hubbard model. Besides the trivial Mott phase, the bond ordered and charge density wave insulating phases are also not destroyed by longer ranged interaction, and still manifest hidden non-local orders.

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27

Sharma, Vineet Kumar, Birender Singh, Anan Bari Sarkar, Mayanak K. Gupta, Ranjan Mittal, Amit Agarwal, Bahadur Singh, and V. Kanchana. "Topological phonons and electronic structure of Li₂BaSi class of semimetals." Journal of Physics: Condensed Matter 34, no. 12 (January 6, 2022): 125502. http://dx.doi.org/10.1088/1361-648x/ac4441.

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Abstract Extension of the topological concepts to the bosonic systems has led to the prediction of topological phonons in materials. Here we discuss the topological phonons and electronic structure of Li2BaX (X = Si, Ge, Sn, and Pb) materials using first-principles theoretical modelling. A careful analysis of the phonon spectrum of Li2BaX reveals an optical mode inversion with the formation of nodal line states in the Brillouin zone. Our electronic structure results reveal a double band inversion at the Γ point with the formation of inner nodal-chain states in the absence of spin–orbit coupling (SOC). Inclusion of the SOC opens a materials-dependent gap at the band crossing points and transitions the system into a trivial insulator state. We also discuss the lattice thermal conductivity and transport properties of Li2BaX materials. Our results show that coexisting phonon and electron nontrivial topology with robust transport properties would make Li2BaX materials appealing for device applications.

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28

Wang, Juven, and Yi-Zhuang You. "Symmetric Mass Generation." Symmetry 14, no. 7 (July 19, 2022): 1475. http://dx.doi.org/10.3390/sym14071475.

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The most well-known mechanism for fermions to acquire a mass is the Nambu–Goldstone–Anderson–Higgs mechanism, i.e., after a spontaneous symmetry breaking, a bosonic field that couples to the fermion mass term condenses, which grants a mass gap for the fermionic excitation. In the last few years, it was gradually understood that there is a new mechanism of mass generation for fermions without involving any symmetry breaking within an anomaly-free symmetry group, also applicable to chiral fermions with anomaly-free chiral symmetries. This new mechanism is generally referred to as the symmetric mass generation (SMG). It is realized that the SMG has deep connections with interacting topological insulator/superconductors, symmetry-protected topological states, perturbative local and non-perturbative global anomaly cancellations, and deconfined quantum criticality. It has strong implications for the lattice regularization of chiral gauge theories. This article defines the SMG, summarizes the current numerical results, introduces an unifying theoretical framework (including the parton-Higgs and the s-confinement mechanisms, as well as the symmetry-extension construction), and presents an overview of various features and applications of SMG.

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29

Москвин, А. С., та Ю. Д. Панов. "Природа псевдощелевой фазы ВТСП купратов". Физика твердого тела 62, № 9 (2020): 1390. http://dx.doi.org/10.21883/ftt.2020.09.49759.06h.

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The pseudogap phase of HTSC cuprates is associated with the formation of a system of quantum electron-hole (EH) dimers similar to the Anderson RVB-phase. We considered the specific role of electron-lattice relaxation in the formation of metastable EH dimers in cuprates with T- and T′-structures. In the model of charge triplets and S = 1 pseudospin formalism, the effective spin-pseudospin Hamiltonian of the cuprate CuO2 plane is introduced. In the framework of the molecular field approximation (MFA) for the coordinate representation, the main MFA phases were found: an antiferromagnetic insulator, a charge density wave, a bosonic superconductor with d-symmetry of the order parameter, and two metal Fermi-phases forming the phase of the "strange" metal. We argue that the MFA can correctly reproduce all the features of the typical cuprate phase diagrams. As for typical s = 1/2 quantum antiferromagnet the actually observed cuprate phases such as charge order and superconductivity reflect "physical" ground state, which is close to MFA-phases but with strongly reduced magnitudes of the local order parameters.

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30

Sun, Jian-Fang, Guo-Dong Cui, Bo-Nan Jiang, Jun Qian, and Yu-Zhu Wang. "Effects of effective attractive multi-body interaction on quantum phase and transport dynamics of a strongly correlated bosonic gas across the superfluid to Mott insulator transition." Chinese Physics B 22, no. 11 (November 2013): 110307. http://dx.doi.org/10.1088/1674-1056/22/11/110307.

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31

LI, QIU-YAN, ZHENG-WEI XIE, and ZAI-DONG LI. "QUANTUM PHASE TRANSITION OF DIPOLAR BOSONS IN OPTICAL LATTICES." International Journal of Modern Physics B 19, no. 21 (August 20, 2005): 3345–52. http://dx.doi.org/10.1142/s0217979205032152.

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In terms of the Green's function method we study the energy spectrum of dipolar boson atoms with the dipole-dipole interaction in an optical lattice. The Superfluid-Mott-Insulator phase transition condition of the dipolar bosons is determined from the energy-band structure of the excitation spectrum as a function of interatomic repulsion, dipolar bosons interaction and the tunnel coupling constants. The superfluid phase is explained explicitly from the energy spectrum derived in terms of the Bogoliubov approach as well.

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32

Tyagi, Udai Prakash, Kakoli Bera, and Partha Goswami. "On Strong f-Electron Localization Effect in a Topological Kondo Insulator." Symmetry 13, no. 12 (November 24, 2021): 2245. http://dx.doi.org/10.3390/sym13122245.

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We study a strong f-electron localization effect on the surface state of a generic topological Kondo insulator (TKI) system by performing a mean-field theoretic (MFT) calculation within the framework of the periodic Anderson model (PAM) using the slave boson technique. The surface metallicity, together with bulk insulation, requires this type of localization. A key distinction between surface states in a conventional insulator and a topological insulator is that, along a course joining two time-reversal invariant momenta (TRIM) in the same BZ, there will be an intersection of these surface states, an even/odd number of times, with the Fermi energy inside the spectral gap. For an even (odd) number of surface state crossings, the surface states are topologically trivial (non-trivial). The symmetry consideration and the pictorial representation of the surface band structure obtained here show an odd number of crossings, leading to the conclusion that, at least within the PAM framework, the generic system is a strong topological insulator.

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33

Müller, Markus. "Magnetoresistance and localization in bosonic insulators." EPL (Europhysics Letters) 102, no. 6 (June 1, 2013): 67008. http://dx.doi.org/10.1209/0295-5075/102/67008.

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34

Goswami, Partha. "Effect of Rashba Impurities on Surface State of a Topological Kondo Insulator." Surfaces 3, no. 3 (September 10, 2020): 484–504. http://dx.doi.org/10.3390/surfaces3030035.

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In this communication, we report surface state, with Rashba impurities, of a generic topological Kondo insulator (TKI) system by performing a mean-field theoretic (MFT) calculation within the framework of slave-boson protocol. The surface metallicity together with bulk insulation is found to require very strong f-electron localization. The possibility of intra-band as well as inter-band unconventional plasmons exists for the surface state spectrum. The paramountcy of the bulk metallicity, and, in the presence of the Rashba impurities, the TKI surface comprising of ‘helical liquids’ are the important outcomes of the present communication. The access to the gapless Dirac spectrum leads to spin-plasmons with the usual wave vector dependence q1/2. The Rashba coupling does not impair the Kondo screening and does not affect the quantum critical point (QCP) for the bulk.

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35

Chanda, Titas, Rebecca Kraus, Giovanna Morigi, and Jakub Zakrzewski. "Self-organized topological insulator due to cavity-mediated correlated tunneling." Quantum 5 (July 13, 2021): 501. http://dx.doi.org/10.22331/q-2021-07-13-501.

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Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is instead only partially understood how interactions affect topological properties. Here, we discuss a model where topology emerges from the quantum interference between single-particle dynamics and global interactions. The system is composed by soft-core bosons that interact via global correlated hopping in a one-dimensional lattice. The onset of quantum interference leads to spontaneous breaking of the lattice translational symmetry, the corresponding phase resembles nontrivial states of the celebrated Su-Schriefer-Heeger model. Like the fermionic Peierls instability, the emerging quantum phase is a topological insulator and is found at half fillings. Originating from quantum interference, this topological phase is found in "exact" density-matrix renormalization group calculations and is entirely absent in the mean-field approach. We argue that these dynamics can be realized in existing experimental platforms, such as cavity quantum electrodynamics setups, where the topological features can be revealed in the light emitted by the resonator.

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36

Michal, Vincent P., Igor L. Aleiner, Boris L. Altshuler, and Georgy V. Shlyapnikov. "Finite-temperature fluid–insulator transition of strongly interacting 1D disordered bosons." Proceedings of the National Academy of Sciences 113, no. 31 (July 19, 2016): E4455—E4459. http://dx.doi.org/10.1073/pnas.1606908113.

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We consider the many-body localization–delocalization transition for strongly interacting one-dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two insulator–fluid transitions at any finite temperature when varying the interaction strength. At weak interactions, an increase in the interaction strength leads to insulator → fluid transition, and, for large interactions, there is a reentrance to the insulator regime. It is feasible to experimentally verify these predictions by tuning the interaction strength with the use of Feshbach or confinement-induced resonances, for example, in 7Li or 39K.

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37

LE, DUC-ANH, and ANH-TUAN HOANG. "PHASE TRANSITION IN THE HALF-FILLED IONIC HUBBARD MODEL: MEAN-FIELD SLAVE BOSON STUDY." Modern Physics Letters B 26, no. 03 (January 30, 2012): 1150016. http://dx.doi.org/10.1142/s0217984911500163.

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We study electronic phase transitions in the half-filled ionic Hubbard model with an on-site Coulomb repulsion U and an ionic energy Δ by using the Kotliar–Ruckenstein slave-boson theory. Assuming a paramagnetic solution, we show that for any non-zero values of Δ, with increasing U the system undergoes a transition from band-insulator to Mott-insulator. Our results have implied the absence of a metallic phase between the band and the Mott insulator phases.

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38

Asorey, M., D. García-Alvarez, and J. M. Muñoz-Castañeda. "Boundary effects in bosonic and fermionic field theories." International Journal of Geometric Methods in Modern Physics 12, no. 06 (June 25, 2015): 1560004. http://dx.doi.org/10.1142/s021988781560004x.

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The dynamics of quantum field theories on bounded domains requires the introduction of boundary conditions on the quantum fields. We address the problem from a very general perspective by using charge conservation as a fundamental principle for scalar and fermionic quantum field theories. Unitarity arises as a consequence of the choice of charge preserving boundary conditions. This provides a powerful framework for the analysis of global geometrical and topological properties of the space of physical boundary conditions. Boundary conditions which allow the existence of edge states can only arise in theories with a mass gap which is also a physical requirement for topological insulators.

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39

TAKEUCHI, YOUSUKE, and HIROYUKI MORI. "MOTT TRANSITION IN ONE-DIMENSIONAL BOSON-FERMION MIXTURES." International Journal of Modern Physics B 20, no. 05 (February 20, 2006): 617–25. http://dx.doi.org/10.1142/s0217979206033486.

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We numerically investigated Mott transitions and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling. The mixing-demixing transition occurred in a qualitatively similar manner to incommensurate filling cases. We also found the Mott insulator phase appeared in both the mixing and the demixing states as the fermion-boson interaction or the boson-boson interaction increased. Phase diagrams were obtained in interaction parameter space.

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40

Dzhumanov, S. "The Microscopic Theory of Superfluidity and Superconductivity Driven by Single Particle and Pair Condensation of Attracting Bosons." International Journal of Modern Physics B 12, no. 21 (August 20, 1998): 2151–224. http://dx.doi.org/10.1142/s0217979298001289.

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A original microscopic theory of superfluidity and superconductivity driven by the single particle (SPC) and pair condensation (PC) of attracting bosons both in Fermi and in Bose systems is developed. This theory (as distinct from the existing theories) for Fermi systems contains two order parameters Δ F and Δ B characterizing the attracting fermion pairs and boson pairs, respectively. In such systems superconducting (SC) phase transition is accompanied, as a rule, by the formation of k-space composite bosons (e.g. Cooper pairs and bipolarons) with their subsequent transition to the superfluid (SF) state by attractive SPC and PC. A novel Fermi-liquid and SF Bose-liquid theories are elaborated for description this two-stage Fermi–Bose-liquid (FBL) scenario of SC (or SF) transition. The crossover from k- to real (r)-space pairing regime for BCS-like coupling constants γ F ≃ 0.7-0.9 and the irrelevance of r-space pairs to the superconductivity are shown. The developed SF Bose-liquid theory predicts the first-order phase transition SPC ↔ PC of attracting 3d-bosons with the kink-like behaviors of all SC (SF) parameters near [Formula: see text] in accordance with the observations in 4 He , 3 He and superconductors. It is argued that the coexistence of the order parameters Δ F and Δ B leads to the superconductivity by two FBL scenarios. One of these scenarios is realized in the so-called fermion (type I, II and III) superconductors (FSC) (where formation of k-space composite bosons and their condensation occur at the same temperature) and the other in the boson (type II and III) superconductors (BSC) (where BCS-like pairing take place in the normal state with manifesting of the second-order phase transition and opening of the pseudogap at T=T F > T c ). There the gapless superfluidity (superconductivity) is caused by the gapless excitation spectrum of bosons at [Formula: see text] and not by the presence of point or line nodes of the BCS-like gap Δ F assumed in some s-, p- and d-pairing models. The 3D- and 2D-insulator–metal–superconductor phase diagrams are presented. The necessary and sufficient microscopic criterions for superfluidity is formulated. The theory proposed are in close agreement with the observations in 4 He , 3 He , superconductors, nuclear and neutron star matter, cosmology, etc.

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41

CAPRARA, SERGIO, MASSIMO CAPONE, LUCA CAPRIOTTI, and FEDERICO BECCA. "COMMENSURATE VERSUS INCOMMENSURATE SPIN-ORDERING IN THE TRIANGULAR HUBBARD MODEL." International Journal of Modern Physics B 14, no. 29n31 (December 20, 2000): 3386–91. http://dx.doi.org/10.1142/s0217979200003708.

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The presence of incommensurate spin structures in the half-filled triangular Hubbard model, where frustration leads to a competition among different magnetic phases, is investigated using both the slave-boson technique, and exact diagonalization of finite clusters. We also investigate the metal-insulator transition which, due to the lack of perfect nesting, takes place at a finite value of U. Within the slave-boson approach, as the interaction grows the paramagnetic metal turns into a metallic phase with incommensurate spiral ordering. Increasing further the interaction, a linear spin-density-wave is stabilized, and finally for strong coupling the latter phase undergoes a first-order transition towards an antiferromagnetic insulator. No trace of the intermediate phases is instead found in the exact diagonalization results.

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42

Hegg, Anthony, Jinning Hou, and Wei Ku. "Geometric frustration produces long-sought Bose metal phase of quantum matter." Proceedings of the National Academy of Sciences 118, no. 46 (November 8, 2021). http://dx.doi.org/10.1073/pnas.2100545118.

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Significance Traditional bosonic lore is dictated by the binary dynamics of perfect flow or no flow. In recent decades, empirical observations support the unexpected phenomenon of bosons exhibiting dissipative transport at low temperature. Several specialized theories attempt to explain this surprising phenomenon, but a universal theory more representative of experimental observations is lacking. We propose a scenario in which frustration confines the low-energy transport to a lower dimension. The result is a failed insulator state where gapless insulating behavior exhibits dissipative transport at finite temperature or through weak disorder. This result modifies our fundamental understanding of bosons by producing a phase of quantum matter intervening between superfluid and insulator.

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43

Petrescu, Alexandru, and Karyn Le Hur. "Bosonic Mott Insulator with Meissner Currents." Physical Review Letters 111, no. 15 (October 7, 2013). http://dx.doi.org/10.1103/physrevlett.111.150601.

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44

Yordanov, Vasil Radkov, and Felipe Isaule. "Mobile impurities interacting with a few one-dimensional lattice bosons." Journal of Physics B: Atomic, Molecular and Optical Physics, January 20, 2023. http://dx.doi.org/10.1088/1361-6455/acb51b.

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Abstract We report a comprehensive study of the ground-state properties of one and two bosonic impurities immersed in small one-dimensional optical lattices loaded with a few interacting bosons. We model the system with a two-component Bose-Hubbard model and solve the problem numerically by means of the exact diagonalization (ED) method. We report binding energies of one and two impurities across the superfluid (SF) to Mott-insulator (MI) transition and confirm the formation of two-body bound states of impurities induced by repulsive interactions. In particular, we found that an insulator bath induces tightly bound di-impurity dimers, whereas a superfluid bath induces shallower bound states.

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45

Pilati, S., and M. Troyer. "Bosonic Superfluid-Insulator Transition in Continuous Space." Physical Review Letters 108, no. 15 (April 9, 2012). http://dx.doi.org/10.1103/physrevlett.108.155301.

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46

Roy, Arkadev, Midya Parto, Rajveer Nehra, Christian Leefmans, and Alireza Marandi. "Topological optical parametric oscillation." Nanophotonics, February 24, 2022. http://dx.doi.org/10.1515/nanoph-2021-0765.

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Abstract Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in nonequilibrium scenarios is highly desirable and has led to the development of topological lasers. The topologically protected boundary states usually lie within the bulk bandgap, and selectively exciting them without inducing instability in the bulk modes of bosonic systems is challenging. Here, we consider topological parametrically driven nonlinear resonator arrays that possess complex eigenvalues only in the edge modes in spite of the uniform pumping. We show parametric oscillation occurs in the topological boundary modes of one and two dimensional systems as well as in the corner modes of a higher order topological insulator system. Furthermore, we demonstrate squeezing dynamics below the oscillation threshold, where the quantum properties of the topological edge modes are robust against certain disorders. Our work sheds light on the dynamics of weakly nonlinear topological systems driven out-of-equilibrium and reveals their intriguing behavior in the quantum regime.

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47

Ejima, Satoshi, Florian Lange, and Holger Fehske. "Spectral and Entanglement Properties of the Bosonic Haldane Insulator." Physical Review Letters 113, no. 2 (July 8, 2014). http://dx.doi.org/10.1103/physrevlett.113.020401.

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48

Zaletel, Michael P., S. A. Parameswaran, Andreas Rüegg, and Ehud Altman. "Chiral bosonic Mott insulator on the frustrated triangular lattice." Physical Review B 89, no. 15 (April 30, 2014). http://dx.doi.org/10.1103/physrevb.89.155142.

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49

Lindinger, Jakob, Andreas Buchleitner, and Alberto Rodríguez. "Many-Body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases." Physical Review Letters 122, no. 10 (March 12, 2019). http://dx.doi.org/10.1103/physrevlett.122.106603.

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50

Zhang, Gufei, Monika Zeleznik, Johan Vanacken, Paul W. May, and Victor V. Moshchalkov. "Metal–Bosonic Insulator–Superconductor Transition in Boron-Doped Granular Diamond." Physical Review Letters 110, no. 7 (February 11, 2013). http://dx.doi.org/10.1103/physrevlett.110.077001.

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