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1

Oreg, Yuval, and Felix von Oppen. "Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation." Annual Review of Condensed Matter Physics 11, no. 1 (March 10, 2020): 397–420. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013618.

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Recent experimental progress introduced devices that can combine topological superconductivity with Coulomb-blockade effects. Experiments with these devices have already provided additional evidence for Majorana zero modes in proximity-coupled semiconductor wires. They also stimulated numerous ideas for how to exploit interactions between Majorana zero modes generated by Coulomb charging effects in networks of Majorana wires. Coulomb effects promise to become a powerful tool in the quest for a topological quantum computer as well as for driving topological superconductors into topologically ordered insulating states. Here, we present a focused review of these recent developments, including discussions of recent experiments, designs of topological qubits, Majorana-based implementations of universal quantum computation, and topological quantum error correction. Motivated by the analogy between a qubit and a spin-1/2 degree of freedom, we also review how coupling between Cooper-pair boxes leads to emergent topologically ordered insulating phases.
2

Kim, Ki-Seok, and Akihiro Tanaka. "Emergent gauge fields and their nonperturbative effects in correlated electrons." Modern Physics Letters B 29, no. 16 (June 20, 2015): 1540054. http://dx.doi.org/10.1142/s0217984915400540.

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The history of modern condensed matter physics may be regarded as the competition and reconciliation between Stoner’s and Anderson’s physical pictures, where the former is based on momentum–space descriptions focusing on long wave-length fluctuations while the latter is based on real-space physics emphasizing emergent localized excitations. In particular, these two view points compete with each other in various nonperturbative phenomena, which range from the problem of high [Formula: see text] superconductivity, quantum spin liquids in organic materials and frustrated spin systems, heavy-fermion quantum criticality, metal-insulator transitions in correlated electron systems such as doped silicons and two-dimensional electron systems, the fractional quantum Hall effect, to the recently discussed Fe-based superconductors. An approach to reconcile these competing frameworks is to introduce topologically nontrivial excitations into the Stoner’s description, which appear to be localized in either space or time and sometimes both, where scattering between itinerant electrons and topological excitations such as skyrmions, vortices, various forms of instantons, emergent magnetic monopoles, and etc. may catch nonperturbative local physics beyond the Stoner’s paradigm. In this review paper, we discuss nonperturbative effects of topological excitations on dynamics of correlated electrons. First, we focus on the problem of scattering between itinerant fermions and topological excitations in antiferromagnetic doped Mott insulators, expected to be relevant for the pseudogap phase of high [Formula: see text] cuprates. We propose that nonperturbative effects of topological excitations can be incorporated within the perturbative framework, where an enhanced global symmetry with a topological term plays an essential role. In the second part, we go on to discuss the subject of symmetry protected topological states in a largely similar light. While we do not introduce itinerant fermions here, the nonperturbative dynamics of topological excitations is again seen to be crucial in classifying topologically nontrivial gapped systems. We point to some hidden links between several effective field theories with topological terms, starting with one-dimensional physics, and subsequently finding natural generalizations to higher dimensions.
3

Bagchi, Susmit. "Projective and Non-Projective Varieties of Topological Decomposition of Groups with Embeddings." Symmetry 12, no. 3 (March 12, 2020): 450. http://dx.doi.org/10.3390/sym12030450.

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In general, the group decompositions are formulated by employing automorphisms and semidirect products to determine continuity and compactification properties. This paper proposes a set of constructions of novel topological decompositions of groups and analyzes the behaviour of group actions under the topological decompositions. The proposed topological decompositions arise in two varieties, such as decomposition based on topological fibers without projections and decomposition in the presence of translated projections in topological spaces. The first variety of decomposition introduces the concepts of topological fibers, locality of group operation and the partitioned local homeomorphism resulting in formulation of transitions and symmetric surjection within the topologically decomposed groups. The reformation of kernel under decomposed homeomorphism and the stability of group action with the existence of a fixed point are analyzed. The first variety of decomposition does not require commutativity maintaining generality. The second variety of projective topological decomposition is formulated considering commutative as well as noncommutative projections in spaces. The effects of finite translations of topologically decomposed groups under projections are analyzed. Moreover, the embedding of a decomposed group in normal topological spaces is formulated in this paper. It is shown that Schoenflies homeomorphic embeddings preserve group homeomorphism in the decomposed embeddings within normal topological spaces. This paper illustrates that decomposed group embedding in normal topological spaces is separable. The applications aspects as well as parametric comparison of group decompositions based on topology, direct product and semidirect product are included in the paper.
4

McClarty, Paul A. "Topological Magnons: A Review." Annual Review of Condensed Matter Physics 13, no. 1 (March 10, 2022): 171–90. http://dx.doi.org/10.1146/annurev-conmatphys-031620-104715.

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At sufficiently low temperatures, magnetic materials often enter correlated phases hosting collective, coherent magnetic excitations such as magnons or triplons. Drawing on the enormous progress on topological materials of the past few years, recent research has led to new insights into the geometry and topology of these magnetic excitations. Berry phases associated with magnetic dynamics can lead to observable consequences in heat and spin transport, whereas analogs of topological insulators and semimetals can arise within magnon band structures from natural magnetic couplings. Magnetic excitations offer a platform to explore the interplay of magnetic symmetries and topology, drive topological transitions using magnetic fields, examine the effects of interactions on topological bands, and generate topologically protected spin currents at interfaces. In this review, we survey progress on all these topics, highlighting aspects of topological matter that are unique to magnon systems and the avenues yet to be fully investigated.
5

Puzantian, Benjamin, Yasser Saleem, Marek Korkusinski, and Pawel Hawrylak. "Edge States and Strain-Driven Topological Phase Transitions in Quantum Dots in Topological Insulators." Nanomaterials 12, no. 23 (December 1, 2022): 4283. http://dx.doi.org/10.3390/nano12234283.

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We present here a theory of the electronic properties of quasi two-dimensional quantum dots made of topological insulators. The topological insulator is described by either eight band k→·p→ Hamiltonian or by a four-band k→·p→ Bernevig–Hughes–Zhang (BHZ) Hamiltonian. The trivial versus topological properties of the BHZ Hamiltonian are characterized by the different topologies that arise when mapping the in-plane wavevectors through the BHZ Hamiltonian onto a Bloch sphere. In the topologically nontrivial case, edge states are formed in the disc and square geometries of the quantum dot. We account for the effects of compressive strain in topological insulator quantum dots by means of the Bir–Pikus Hamiltonian. Tuning strain allows topological phase transitions between topological and trivial phases, which results in the vanishing of edge states from the energy gap. This may enable the design of a quantum strain sensor based on strain-driven transitions in HgTe topological insulator square quantum dots.
6

Shafii, S., S. E. Dillard, M. Hlawitschka, and B. Hamann. "The Topological Effects of Smoothing." IEEE Transactions on Visualization and Computer Graphics 18, no. 1 (January 2012): 160–72. http://dx.doi.org/10.1109/tvcg.2011.74.

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7

Xu, Yong. "Thermoelectric effects and topological insulators." Chinese Physics B 25, no. 11 (November 2016): 117309. http://dx.doi.org/10.1088/1674-1056/25/11/117309.

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8

Klein, A. G. "Topological effects in neutron optics." Physica B+C 137, no. 1-3 (March 1986): 230–34. http://dx.doi.org/10.1016/0378-4363(86)90327-x.

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9

Nachlis, W. L., J. T. Bendler, R. P. Kambour, and W. J. MacKnight. "Topological effects on blend miscibility." Pure and Applied Chemistry 69, no. 1 (January 1, 1997): 151–56. http://dx.doi.org/10.1351/pac199769010151.

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10

Nachlis, W. L., J. T. Bendler, R. P. Kambour, and W. J. MacKnight. "Topological Effects on Blend Miscibility." Macromolecules 28, no. 23 (November 1995): 7869–78. http://dx.doi.org/10.1021/ma00127a038.

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11

Artemenko, S. N., and V. O. Kaladzhyan. "Photogalvanic effects in topological insulators." JETP Letters 97, no. 2 (March 2013): 82–86. http://dx.doi.org/10.1134/s0021364013020021.

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12

Rossi, Lorenzo, Fausto Rossi, and Fabrizio Dolcini. "Real-space effects of a quench in the Su–Schrieffer–Heeger model and elusive dynamical appearance of the topological edge states." New Journal of Physics 24, no. 1 (January 1, 2022): 013011. http://dx.doi.org/10.1088/1367-2630/ac3cf6.

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Abstract The topological phase of the Su–Schrieffer–Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate that, for any parameter quench performed on the half-filled SSH chain, the occupancy of each lattice site remains locked to 1/2 at any time, due to the additional time-reversal and charge conjugation symmetries. In particular, for a quench from the trivial to the topological phase, no signature of the topological edge states appears in real-space occupancies, independently of the quench protocol, the temperature of the pre-quench thermal state or the presence of chiral disorder. However, a suitably designed local quench from/to a SSH ring threaded by a magnetic flux can break these additional symmetries while preserving the chiral one. Then, real-space effects of the quench do appear and exhibit different dynamical features in the topological and in the trivial phases. Moreover, when the particle filling is different from a half and the pre-quench state is not insulating, the dynamical appearance of the topological edge states is visible already in a chain, it survives time averaging and can be observed also in the presence of chiral-breaking disorder and for instantaneous quenches.
13

Pries, A. R., T. W. Secomb, and P. Gaehtgens. "Relationship between structural and hemodynamic heterogeneity in microvascular networks." American Journal of Physiology-Heart and Circulatory Physiology 270, no. 2 (February 1, 1996): H545—H553. http://dx.doi.org/10.1152/ajpheart.1996.270.2.h545.

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The relationship between structural and hemodynamic heterogeneity of microvascular networks is examined by analyzing the effects of topological and geometric irregularities on network hemodynamics. Microscopic observations of a network in the rat mesentery provided data on length, diameter, and interconnection of all 913 segments. Two idealized network structures were derived from the observed network. In one, the topological structure was made symmetric; in another a further idealization was made by assigning equal lengths and diameters to all segments with topologically equivalent positions in the network. Blood flow through these three networks was simulated with a mathematical model based on experimental information on blood rheology. Overall network conductance and pressure distribution within the network were found to depend strongly on topological heterogeneity and less on geometric heterogeneity. In contrast, mean capillary hematocrit was sensitive to geometric heterogeneity but not to topological heterogeneity. Geometric and topological heterogeneity contributed equally to the dispersion of arteriovenous transit time. Hemodynamic characteristics of heterogeneous microvascular networks can only be adequately described if both topological and geometric variability in network structure are taken into account.
14

MATUTE, ERNESTO A. "A TOPOLOGICAL VIEW ON BARYON NUMBER CONSERVATION." Modern Physics Letters A 19, no. 19 (June 21, 2004): 1469–82. http://dx.doi.org/10.1142/s0217732304013738.

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We argue that the charge fractionalization in quarks has a hidden topological character related to a broken [Formula: see text] symmetry between integer-charged bare quarks and leptons. The mechanism is a tunneling process occurring in time between standard field configurations of a pure gauge form with different topological winding numbers associated with integer-charged bare quarks in the far past and future. This transition, which nonperturbatively normalizes local bare charges with a universal accumulated value, corresponds to a specific topologically nontrivial configuration of the weak gauge fields in Euclidean spacetime. The outcome is an effective topological charge equal to the ratio between baryon number and the number of fermion generations associated with baryonic matter. The observed conservation of baryon number is then related to the conservation of this bookkeeping charge on quarks. Baryon number violation may only arise through topological effects as in decays induced by electroweak instantons. However, stability of a free proton is expected.
15

Takehara, R., K. Sunami, K. Miyagawa, T. Miyamoto, H. Okamoto, S. Horiuchi, R. Kato, and K. Kanoda. "Topological charge transport by mobile dielectric-ferroelectric domain walls." Science Advances 5, no. 11 (November 2019): eaax8720. http://dx.doi.org/10.1126/sciadv.aax8720.

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The concept of topology has been widely applied in condensed matter physics, leading to the identification of peculiar electronic states on three-dimensional (3D) surfaces or 2D lines separating topologically distinctive regions. In the systems explored so far, the topological boundaries are built-in walls; thus, their motional degrees of freedom, which potentially bring about new paradigms, have been experimentally inaccessible. Here, working with a quasi-1D organic material with a charge-transfer instability, we show that mobile neutral-ionic (dielectric-ferroelectric) domain boundaries with topological charges carry strongly 1D-confined and anomalously large electrical conduction with an energy gap much smaller than the one-particle excitation gap. This consequence is further supported by nuclear magnetic resonance detection of spin solitons, which are required for steady current of topological charges. The present observation of topological charge transport may open a new channel for broad charge transport–related phenomena such as thermoelectric effects.
16

Imada, Masatoshi, Youhei Yamaji, and Moyuru Kurita. "Electron Correlation Effects on Topological Phases." Journal of the Physical Society of Japan 83, no. 6 (June 15, 2014): 061017. http://dx.doi.org/10.7566/jpsj.83.061017.

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17

Xing Yu-Heng, Xu Xi-Fang, and Zhang Li-Fa. "Topological phonons and phonon Hall effects." Acta Physica Sinica 66, no. 22 (2017): 226601. http://dx.doi.org/10.7498/aps.66.226601.

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18

Pachos, Jiannis K. "Manifestations of topological effects in graphene." Contemporary Physics 50, no. 2 (March 2009): 375–89. http://dx.doi.org/10.1080/00107510802650507.

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19

Gangaraj, Seyyed Ali Hassani, and George W. Hanson. "Momentum-Space Topological Effects of Nonreciprocity." IEEE Antennas and Wireless Propagation Letters 17, no. 11 (November 2018): 1988–92. http://dx.doi.org/10.1109/lawp.2018.2851438.

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20

Li, Xiao-Guang, Gu-Feng Zhang, Guang-Fen Wu, Hua Chen, Dimitrie Culcer, and Zhen-Yu Zhang. "Proximity effects in topological insulator heterostructures." Chinese Physics B 22, no. 9 (September 2013): 097306. http://dx.doi.org/10.1088/1674-1056/22/9/097306.

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21

Matsumura, Hajime, and Tsuneya Ando. "Topological Effects on Conductance of Nanotubes." Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 340, no. 1 (March 2000): 725–30. http://dx.doi.org/10.1080/10587250008025554.

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22

Yaguchi, Tatsuya, and Tsuneya Ando. "Topological Effects in Capped Carbon Nanotubes." Journal of the Physical Society of Japan 70, no. 12 (December 15, 2001): 3641–49. http://dx.doi.org/10.1143/jpsj.70.3641.

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23

Quake, Stephen R. "Topological Effects of Knots in Polymers." Physical Review Letters 73, no. 24 (December 12, 1994): 3317–20. http://dx.doi.org/10.1103/physrevlett.73.3317.

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24

Rozhansky, I. V., K. S. Denisov, M. B. Lifshits, N. S. Averkiev, and E. Lähderanta. "Topological and Chiral Spin Hall Effects." physica status solidi (b) 256, no. 6 (May 15, 2019): 1900033. http://dx.doi.org/10.1002/pssb.201900033.

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25

Battenfeld, Ingo. "Computational Effects in Topological Domain Theory." Electronic Notes in Theoretical Computer Science 158 (May 2006): 59–80. http://dx.doi.org/10.1016/j.entcs.2006.04.005.

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26

Camassa, R., G. Falqui, G. Ortenzi, and M. Pedroni. "Topological effects on vorticity evolution in confined stratified fluids." Journal of Fluid Mechanics 776 (July 3, 2015): 109–36. http://dx.doi.org/10.1017/jfm.2015.317.

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For a stratified incompressible Euler fluid under gravity confined by rigid boundaries, sources of vorticity are classified with the aim of isolating those which are sensitive to the topological configurations of density isopycnals, for both layered and continuous density variations. The simplest case of a two-layer fluid is studied first. This shows explicitly that topological sources of vorticity are present whenever the interface intersects horizontal boundaries. Accordingly, the topological separation of the fluid domain due to the interface–boundary intersections can contribute additional terms to the vorticity balance equation. This phenomenon is reminiscent of Klein’s ‘Kaffeelöffel’ thought-experiment for a homogeneous fluid (Klein, Z. Math. Phys., vol. 59, 1910, pp. 259–262), and it is essentially independent of the vorticity generation induced by the baroclinic term in the bulk of the fluid. In fact, the two-layer case is generalized to show that for the continuously stratified case topological vorticity sources are generically present whenever density varies along horizontal boundaries. The topological sources are expressed explicitly in terms of local contour integrals of the pressure along the intersection curves of isopycnals with domain boundaries, and their effects on vorticity evolution are encoded by an appropriate vector, termed here the ‘topological vorticity’.
27

Zhang, J. L., S. J. Zhang, H. M. Weng, W. Zhang, L. X. Yang, Q. Q. Liu, S. M. Feng, et al. "Pressure-induced superconductivity in topological parent compound Bi2Te3." Proceedings of the National Academy of Sciences 108, no. 1 (December 20, 2010): 24–28. http://dx.doi.org/10.1073/pnas.1014085108.

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We report a successful observation of pressure-induced superconductivity in a topological compound Bi2Te3 with Tc of ∼3 K between 3 to 6 GPa. The combined high-pressure structure investigations with synchrotron radiation indicated that the superconductivity occurred at the ambient phase without crystal structure phase transition. The Hall effects measurements indicated the hole-type carrier in the pressure-induced superconducting Bi2Te3 single crystal. Consequently, the first-principles calculations based on the structural data obtained by the Rietveld refinement of X-ray diffraction patterns at high pressure showed that the electronic structure under pressure remained topologically nontrivial. The results suggested that topological superconductivity can be realized in Bi2Te3 due to the proximity effect between superconducting bulk states and Dirac-type surface states. We also discuss the possibility that the bulk state could be a topological superconductor.
28

Zid, Maha, Kaushik Pal, Saša Harkai, Andreja Abina, Samo Kralj, and Aleksander Zidanšek. "Qualitatively and Quantitatively Different Configurations of Nematic–Nanoparticle Mixtures." Nanomaterials 14, no. 5 (February 27, 2024): 436. http://dx.doi.org/10.3390/nano14050436.

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We consider the influence of different nanoparticles or micrometre-scale colloidal objects, which we commonly refer to as particles, on liquid crystalline (LC) orientational order in essentially spatially homogeneous particle–LC mixtures. We first illustrate the effects of coupling a single particle with the surrounding nematic molecular field. A particle could either act as a “dilution”, i.e., weakly distorting local effective orientational field, or as a source of strong distortions. In the strong anchoring limit, particles could effectively act as topological point defects, whose topological charge q depends on particle topology. The most common particles exhibit spherical topology and consequently act as q = 1 monopoles. Depending on the particle’s geometry, these effective monopoles could locally induce either point-like or line-like defects in the surrounding LC host so that the total topological charge of the system equals zero. The resulting system’s configuration is topologically equivalent to a crystal-like array of monopole defects with alternating topological charges. Such configurations could be trapped in metastable or stable configurations, where the history of the sample determines a configuration selection.
29

Huang, Beibing, Xiaosen Yang, Qinfang Zhang, and Ning Xu. "Chiral Majorana edge modes and vortex Majorana zero modes in superconducting antiferromagnetic topological insulator." Journal of Physics: Condensed Matter 34, no. 11 (January 4, 2022): 115503. http://dx.doi.org/10.1088/1361-648x/ac4531.

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Abstract The antiferromagnetic topological insulator (AFTI) is topologically protected by the combined time-reversal and translational symmetry T c . In this paper we investigate the effects of the s-wave superconducting pairings on the multilayers of AFTI, which breaks T c symmetry and can realize quantum anomalous Hall insulator with unit Chern number. For the weakly coupled pairings, the system corresponds to the topological superconductor (TSC) with the Chern number C = ±2. We answer the following questions whether the local Chern numbers and chiral Majorana edge modes of such a TSC distribute around the surface layers. By the numerical calculations based on a theoretic model of AFTI, we find that when the local Chern numbers are always dominated by the surface layers, the wavefunctions of chiral Majorana edge modes must not localize on the surface layers and show a smooth crossover from spatially occupying all layers to only distributing near the surface layers, similar to the hinge states in a three dimensional second-order topological phases. The latter phase, denoted by the hinged TSC, can be distinguished from the former phase by the measurements of the local density of state. In addition we also study the superconducting vortex phase transition in this system and find that the exchange field in the AFTI not only enlarges the phase space of topological vortex phase but also enhances its topological stability. These conclusions will stimulate the investigations on superconducting effects of AFTI and drive the studies on chiral Majorana edge modes and vortex Majorana zero modes into a new era.
30

JIA, DUOJE, and YISHI DUAN. "TOPOLOGICAL EFFECTS OF INSTANTON DUE TO DEFECTS." Modern Physics Letters A 16, no. 29 (September 21, 2001): 1863–69. http://dx.doi.org/10.1142/s0217732301005163.

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A new doublet variable is proposed to decompose non-Abelian gauge field for describing the topological effects of instantons due to the defects in appropriate phase of SU(2) Yang–Mills theory. It is shown that the instanton number can be directly related to the isospin defects of the doublet order parameter and contributed from topological charges of these defects. The θ-term in instanton action is found to be the delta-function form of the doublet and the Lagrangian of instantons in terms of new variables is also presented.
31

Kuzmin, Dmitry A., Igor V. Bychkov, Vladimir G. Shavrov, and Vasily V. Temnov. "Plasmonics of magnetic and topological graphene-based nanostructures." Nanophotonics 7, no. 3 (February 23, 2018): 597–611. http://dx.doi.org/10.1515/nanoph-2017-0095.

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AbstractGraphene is a unique material in the study of the fundamental limits of plasmonics. Apart from the ultimate single-layer thickness, its carrier concentration can be tuned by chemical doping or applying an electric field. In this manner, the electrodynamic properties of graphene can be varied from highly conductive to dielectric. Graphene supports strongly confined, propagating surface plasmon polaritons (SPPs) in a broad spectral range from terahertz to mid-infrared frequencies. It also possesses a strong magneto-optical response and thus provides complimentary architectures to conventional magneto-plasmonics based on magneto-optically active metals or dielectrics. Despite a large number of review articles devoted to plasmonic properties and applications of graphene, little is known about graphene magneto-plasmonics and topological effects in graphene-based nanostructures, which represent the main subject of this review. We discuss several strategies to enhance plasmonic effects in topologically distinct closed surface landscapes, i.e. graphene nanotubes, cylindrical nanocavities and toroidal nanostructures. A novel phenomenon of the strongly asymmetric SPP propagation on chiral meta-structures and the fundamental relations between structural and plasmonic topological indices are reviewed.
32

Imakaev, Maxim V., Konstantin M. Tchourine, Sergei K. Nechaev, and Leonid A. Mirny. "Effects of topological constraints on globular polymers." Soft Matter 11, no. 4 (2015): 665–71. http://dx.doi.org/10.1039/c4sm02099e.

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33

Nakata, Kouki, and Se Kwon Kim. "Topological Hall Effects of Magnons in Ferrimagnets." Journal of the Physical Society of Japan 90, no. 8 (August 15, 2021): 081004. http://dx.doi.org/10.7566/jpsj.90.081004.

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34

Santos, M. C., E. Lora da Silva, Tao Yang, A. M. L. Lopes, and J. P. Araújo. "Strain-induced effects of topological deformed graphene." Journal of Magnetism and Magnetic Materials 540 (December 2021): 168429. http://dx.doi.org/10.1016/j.jmmm.2021.168429.

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35

Governale, Michele, Bibek Bhandari, Fabio Taddei, Ken-Ichiro Imura, and Ulrich Z̈licke. "Finite-size effects in cylindrical topological insulators." New Journal of Physics 22, no. 6 (June 24, 2020): 063042. http://dx.doi.org/10.1088/1367-2630/ab90d3.

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36

Tominaga, Junji, Alexander V. Kolobov, Paul J. Fons, Xiaomin Wang, Yuta Saito, Takashi Nakano, Muneaki Hase, Shuichi Murakami, Jens Herfort, and Yukihiko Takagaki. "Giant multiferroic effects in topological GeTe-Sb2Te3superlattices." Science and Technology of Advanced Materials 16, no. 1 (February 25, 2015): 014402. http://dx.doi.org/10.1088/1468-6996/16/1/014402.

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37

Yasuda, K., R. Wakatsuki, T. Morimoto, R. Yoshimi, A. Tsukazaki, K. S. Takahashi, M. Ezawa, M. Kawasaki, N. Nagaosa, and Y. Tokura. "Geometric Hall effects in topological insulator heterostructures." Nature Physics 12, no. 6 (February 22, 2016): 555–59. http://dx.doi.org/10.1038/nphys3671.

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38

Dun, Chaochao, Yu Liu, Ahmad Al-Qawasmeh, Corey A. Hewitt, Yang Guo, Junwei Xu, Qike Jiang, et al. "Topological doping effects in 2D chalcogenide thermoelectrics." 2D Materials 5, no. 4 (July 16, 2018): 045008. http://dx.doi.org/10.1088/2053-1583/aad01c.

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39

Aharonov, Yakir, and Benni Reznik. "Complementarity between Local and Nonlocal Topological Effects." Physical Review Letters 84, no. 21 (May 22, 2000): 4790–93. http://dx.doi.org/10.1103/physrevlett.84.4790.

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40

Zhang, Ran, and Per Linse. "Topological effects on capsomer–polyion co-assembly." Journal of Chemical Physics 140, no. 24 (June 28, 2014): 244903. http://dx.doi.org/10.1063/1.4883056.

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41

Baer, Michael. "Classification of topological effects in molecular systems." Chemical Physics Letters 322, no. 6 (June 2000): 520–26. http://dx.doi.org/10.1016/s0009-2614(00)00463-2.

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42

Morgan, MJ, and Tan Tat Hin. "Topological Effects of a Circular Cosmic String." Australian Journal of Physics 49, no. 3 (1996): 607. http://dx.doi.org/10.1071/ph960607.

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The behaviour of a quantum particle in the spacetime region exterior to a circular cosmic string is studied by constructing a connection one-form in the tetrad formalism. In the weak-field approximation, near the string core, the space exhibits a conical singularity, with an attendant topological phase and distortion of the energy spectrum of a scalar particle determined by the global properties of the spacetime structure of the string loop.
43

DEGUCHI, Tetsuo. "Topological Effects of Ring Polymers in Solution." Hyomen Kagaku 34, no. 1 (2013): 15–20. http://dx.doi.org/10.1380/jsssj.34.15.

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44

Bezerra, V. B., and I. B. dos Santos. "Topological effects due to a cosmic string." European Journal of Physics 13, no. 3 (May 1, 1992): 122–24. http://dx.doi.org/10.1088/0143-0807/13/3/004.

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45

Hohenadler, M., and F. F. Assaad. "Correlation effects in two-dimensional topological insulators." Journal of Physics: Condensed Matter 25, no. 14 (March 7, 2013): 143201. http://dx.doi.org/10.1088/0953-8984/25/14/143201.

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46

Lyanda-Geller, Yuli. "Topological transitions in Berry’s phase interference effects." Physical Review Letters 71, no. 5 (August 2, 1993): 657–61. http://dx.doi.org/10.1103/physrevlett.71.657.

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47

Liu, Yizhou, Yong Xu, and Wenhui Duan. "Berry phase and topological effects of phonons." National Science Review 5, no. 3 (August 2, 2017): 314–16. http://dx.doi.org/10.1093/nsr/nwx086.

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48

AKIYAMA, Ryota, Takuya TAKASHIRO, Shinji KURODA, and Shuji HASEGAWA. "Concerted Effects of Topological Insulators and Ferromagnetism." Vacuum and Surface Science 66, no. 1 (January 10, 2023): 28–33. http://dx.doi.org/10.1380/vss.66.28.

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49

Morchio, Giovanni, and Franco Strocchi. "Quantum Mechanics on Manifolds and Topological Effects." Letters in Mathematical Physics 82, no. 2-3 (October 18, 2007): 219–36. http://dx.doi.org/10.1007/s11005-007-0188-5.

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50

Hu, Jin-Xin, Cheng-Ping Zhang, Ying-Ming Xie, and K. T. Law. "Nonlinear Hall effects in strained twisted bilayer WSe2." Communications Physics 5, no. 1 (October 19, 2022). http://dx.doi.org/10.1038/s42005-022-01034-7.

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AbstractRecently, it has been pointed out that the twisting of bilayer WSe2 would generate topologically non-trivial flat bands near the Fermi energy. In this work, we show that twisted bilayer WSe2 (tWSe2) with uniaxial strain exhibits a large nonlinear Hall (NLH) response due to the non-trivial Berry curvatures of the flat bands. Moreover, the NLH effect is greatly enhanced near the topological phase transition point which can be tuned by a vertical displacement field. Importantly, the nonlinear Hall signal changes sign across the topological phase transition point and provides a way to identify the topological phase transition and probe the topological properties of the flat bands. The strong enhancement and high tunability of the NLH effect near the topological phase transition point renders tWSe2 and related moire materials available platforms for rectification and second harmonic generations.

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