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1

Costa, A. T., and N. M. R. Peres. "Enhancing the hybridization of plasmons in graphene with 2D superconductor collective modes." Journal of Physics: Condensed Matter 34, no. 10 (December 23, 2021): 105304. http://dx.doi.org/10.1088/1361-648x/ac3e1d.

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Abstract We explore ways in which the close proximity between graphene sheets and monolayers of 2D superconductors can lead to hybridization between their collective excitations. We consider heterostructures formed by combinations of graphene sheets and 2D superconductor monolayers. The broad range of energies in which the graphene plasmon can exist, together with its tunability, makes such heterostructures promising platforms for probing the many-body physics of superconductors. We show that the hybridization between the graphene plasmon and the Bardasis–Schrieffer mode of a 2D superconductor results in clear signatures on the near-field reflection coefficient of the heterostructure, which in principle can be observed in scanning near-field microscopy experiments.
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2

Devarakonda, A., H. Inoue, S. Fang, C. Ozsoy-Keskinbora, T. Suzuki, M. Kriener, L. Fu, E. Kaxiras, D. C. Bell, and J. G. Checkelsky. "Clean 2D superconductivity in a bulk van der Waals superlattice." Science 370, no. 6513 (October 8, 2020): 231–36. http://dx.doi.org/10.1126/science.aaz6643.

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Advances in low-dimensional superconductivity are often realized through improvements in material quality. Apart from a small group of organic materials, there is a near absence of clean-limit two-dimensional (2D) superconductors, which presents an impediment to the pursuit of numerous long-standing predictions for exotic superconductivity with fragile pairing symmetries. We developed a bulk superlattice consisting of the transition metal dichalcogenide (TMD) superconductor 2H-niobium disulfide (2H-NbS2) and a commensurate block layer that yields enhanced two-dimensionality, high electronic quality, and clean-limit inorganic 2D superconductivity. The structure of this material may naturally be extended to generate a distinct family of 2D superconductors, topological insulators, and excitonic systems based on TMDs with improved material properties.
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3

Lee, Dung-Hai. "Anyon Superconductivity and the Fractional Quantum-Hall Effect." International Journal of Modern Physics B 05, no. 10 (June 1991): 1695–713. http://dx.doi.org/10.1142/s0217979291001607.

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I review the concept of statistics transmutation in two dimensions and apply it to the understanding of Fractional quantum-Hall effect and anyon superconductivity. A contrast of the electromagnetic properties of an ordinary 2D superconductor, a quantum-Hall liquid and an anyon superconductor is presented. The relevance of the anyon model to copper-oxide superconductors is also discussed.
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4

Morita, M., and S. Okuma. "Flux Pinning and Current-Induced Vortex Motion at T→0 in Two-Dimensional Vortex Glass." International Journal of Modern Physics B 17, no. 18n20 (August 10, 2003): 3445–48. http://dx.doi.org/10.1142/s0217979203021174.

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We investigate the roles of flux pinning on vortex motion at low temperatures (T) in two-dimensional (2D) superconductors using two thin (4 nm) amorphous Mo x Si 1-x films with different pinning strength. We measure the T dependence of resistance R at fields B below the critical field Bc of the 2D superconductor-insulator (SI) transition. For both films we observe the very small T-independent R at T→0 in certain field regions below Bc, suggesting quantum motion of a small number of vortices (dislocations) in the 2D vortex-glass phase in the presence of current. For the film with weaker pinning, the activation energy decreases at T<0.1 K .
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5

Mason, N., and A. Kapitulnik. "Dissipation Effects on the Superconductor-Insulator Transition in 2D Superconductors." Physical Review Letters 82, no. 26 (June 28, 1999): 5341–44. http://dx.doi.org/10.1103/physrevlett.82.5341.

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6

CHAN, L. P., K. G. LYNN, and D. R. HARSHMAN. "CAN POSITRON 2D–ACAR RESOLVE THE ELECTRONIC STRUCTURE OF HIGH-Tc SUPERCONDUCTORS?" Modern Physics Letters B 06, no. 11 (May 10, 1992): 617–35. http://dx.doi.org/10.1142/s0217984992000715.

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We examine the ability of the positron Two-Dimensional Angular Correlation Annihilation Radiation (2D-ACAR) technique to resolve the electronic structures of high-T c cuprate superconductors. Following a short description of the technique, discussions of the theoretical assumptions, data analysis and experimental considerations, in relation to the high-T c superconductors, are given. We briefly review recent 2D-ACAR experiments on YBa 2 Cu 3 O 7−x, Bi 2 Sr 2 CaCuO 8+δ and La 2−x Sr x CuO 4. The 2D-ACAR technique is useful in resolving the band crossings associated with the layers of the superconductors that are preferentially sampled by the positrons. Together with other Fermi surface measurements (namely angle-resolved photoemission), 2D-ACAR can resolve some of the electronic structures of high-T c cuprate superconductors. In addition, 2D-ACAR measurements of YBa 2 Cu 3 O 7−x and Bi 2 Sr 2 CaCuO 8+δ also reveal an interesting temperature dependence in the fine structures, and a change in the positron lifetime in the former.
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7

Qiu, Dong, Chuanhui Gong, SiShuang Wang, Miao Zhang, Chao Yang, Xianfu Wang, and Jie Xiong. "Recent Advances in 2D Superconductors." Advanced Materials 33, no. 18 (March 26, 2021): 2006124. http://dx.doi.org/10.1002/adma.202006124.

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8

Morandi, Antonio. "2D electromagnetic modelling of superconductors." Superconductor Science and Technology 25, no. 10 (September 12, 2012): 104003. http://dx.doi.org/10.1088/0953-2048/25/10/104003.

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9

Palacio-Morales, Alexandra, Eric Mascot, Sagen Cocklin, Howon Kim, Stephan Rachel, Dirk K. Morr, and Roland Wiesendanger. "Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system." Science Advances 5, no. 7 (July 2019): eaav6600. http://dx.doi.org/10.1126/sciadv.aav6600.

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Topological superconductors are predicted to harbor exotic boundary states—Majorana zero-energy modes—whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using low-temperature scanning tunneling spectroscopy, here, we report on the direct real-space visualization of chiral Majorana edge states in a monolayer topological superconductor, a prototypical magnet-superconductor hybrid system composed of nanoscale Fe islands of monoatomic height on a Re(0001)-O(2 × 1) surface. In particular, we demonstrate that interface engineering by an atomically thin oxide layer is crucial for driving the hybrid system into a topologically nontrivial state as confirmed by theoretical calculations of the topological invariant, the Chern number.
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10

BRUSOV, PETER, PAUL BRUSOV, and CHONG LEE. "COLLECTIVE PROPERTIES OF UNCONVENTIONAL SUPERCONDUCTORS." International Journal of Modern Physics B 18, no. 06 (March 10, 2004): 867–82. http://dx.doi.org/10.1142/s021797920402401x.

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In light of recent experiments, the study of the collective excitations in unconventional superconductors (USC) becomes very important. We build by path integration technique 2D and 3D models of p- and d-pairing for superfluids and superconductors (SC). Within these models we calculate the collective excitations in different USC (high temperature superconductors (HTSC), heavy fermion superconductors (HFSC) etc.) under p- and d-pairing. We considered both bulk and 2D systems. Some recent ideas concerning realization in HTSC of the mixtures of different states are investigated. In particular, we consider the mixture of dx2-y2 and dxy states in HTSC. Obtained results could be used for interpretation of the sound and microwave absorption data as well as for identification of the type of pairing and order parameter in unconventional superconductors.
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11

Buzdin, A. I., and J. P. Brison. "Non-uniform state in 2D superconductors." Europhysics Letters (EPL) 35, no. 9 (September 20, 1996): 707–12. http://dx.doi.org/10.1209/epl/i1996-00152-9.

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12

Wzietek, P., H. Mayaffre, D. Jérome, and S. Brazovskii. "NMR in the 2D Organic Superconductors." Journal de Physique I 6, no. 12 (December 1996): 2011–41. http://dx.doi.org/10.1051/jp1:1996201.

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13

Kagalovsky, Victor, Baruch Horovitz, and Yshai Avishai. "Network models for 2D disordered superconductors." Physica E: Low-dimensional Systems and Nanostructures 22, no. 1-3 (April 2004): 753–56. http://dx.doi.org/10.1016/j.physe.2003.12.119.

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14

Parra, Carolina, Francis C. Niestemski, Alex W. Contryman, Paula Giraldo-Gallo, Theodore H. Geballe, Ian R. Fisher, and Hari C. Manoharan. "Signatures of two-dimensional superconductivity emerging within a three-dimensional host superconductor." Proceedings of the National Academy of Sciences 118, no. 16 (April 12, 2021): e2017810118. http://dx.doi.org/10.1073/pnas.2017810118.

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Spatial disorder has been shown to drive two-dimensional (2D) superconductors to an insulating phase through a superconductor–insulator transition (SIT). Numerical calculations predict that with increasing disorder, emergent electronic granularity is expected in these materials—a phenomenon where superconducting (SC) domains on the scale of the material’s coherence length are embedded in an insulating matrix and coherently coupled by Josephson tunneling. Here, we present spatially resolved scanning tunneling spectroscopy (STS) measurements of the three-dimensional (3D) superconductor BaPb1−xBixO3 (BPBO), which surprisingly demonstrate three key signatures of emergent electronic granularity, having only been previously conjectured and observed in 2D thin-film systems. These signatures include the observation of emergent SC domains on the scale of the coherence length, finite energy gap over all space, and strong enhancement of spatial anticorrelation between pairing amplitude and gap magnitude as the SIT is approached. These observations are suggestive of 2D SC behavior embedded within a conventional 3D s-wave host, an intriguing but still unexplained interdimensional phenomenon, which has been hinted at by previous experiments in which critical scaling exponents in the vicinity of a putative 3D quantum phase transition are consistent only with dimensionality d = 2.
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15

Casesnoves, Francisco. "Genetic Algorithms Optimization for High Temperature Superconductors SN Class Molecular Effect Model with Electronics Applications." International Journal on Recent Technologies in Mechanical and Electrical Engineering 9, no. 3 (September 30, 2022): 153–61. http://dx.doi.org/10.17762/ijrmee.v9i3.385.

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This contribution deals with the Molecular Effect Model (MEM) Genetic Algorithms polynomial-dual optimization for High Temperature Superconductors (HTSCs) class of [ Sn-Sb-Te-Ba-Mn-Cu-O ] . Results comprise Tikhonov Regularization Functionals development and mathematical methods for this HTSCs group without using logarithmic changes. Findings for this MEM optimization, based on Genetic Algorithms polynomial-dual-method show acceptable theoretical Numerical and 2D/3D Graphical Optimization solutions and low residuals. Solutions comprise two parts, the modelling for TC Molecular Effect predictions equations, and 2D graphics series of results. Electronics Physics applications for Superconductors and High Temperature Superconductors are specified for Isotope Effect in BCS theory and for MEM and presented.
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16

ARTEMENKO, S. N., and Yu I. LATYSHEV. "TWO-DIMENSIONAL BEHAVIOUR OF LAYERED HIGH-Tc SUPERCONDUCTORS." Modern Physics Letters B 06, no. 07 (March 20, 1992): 367–82. http://dx.doi.org/10.1142/s0217984992000454.

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High-T c superconductors (HTSs) have a layered structure, which strongly affects their physics. Bulk crystals exhibit the two-dimensional (2D) behaviour typical for superconducting films of atomic thickness. Fluctuation contribution to conductivity above mean-field critical temperature T c0 is characteristic to 2D superconductors. Finite resistivity in layered HTSs appears above Berezinskii-Kosterlitz-Thouless (BKT) transition T c , which is by several degrees smaller than T c0 . Below T c power-law I-V curves are observed. The transition and its main manifestations are described as a result of thermal creation of 2D-vortices with cores residing inside single superconducting layers. Magnetoresistive effects near the BKT transition are discussed briefly.
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17

Koblischka, Michael Rudolf, and Anjela Koblischka-Veneva. "Superconductivity 2022." Metals 12, no. 4 (March 28, 2022): 568. http://dx.doi.org/10.3390/met12040568.

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Superconductivity in metals and alloys, i.e., conventional superconductivity, has seen many new developments in recent years, leading to a renewed interest in the principles of superconductivity and the search for new materials. The most striking discoveries include the near-room-temperature superconductivity in metal hydrides (LaH10) under pressure, the extreme stability of superconductivity in NbTi up to 261 GPa pressure, the discovery of high-entropy alloy (HEA) superconductor materials, and the machine learning prediction of new superconducting materials. Other interesting research concerns the properties of 2D superconductors, topological superconductors, e.g., in hybrid systems, and the use of nanotechnology to create nanowires and nanostructures with new properties. Furthermore, and most importantly, the drive from new accelerator and fusion reactors for stronger superconducting magnets has lead to improved cable materials, showing the highest critical current densities ever. Thus, this Special Issue aims to bring together a collection of papers reflecting the present activity in this field.
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18

OBAIDAT, I. M., U. AL KHAWAJA, and M. BENKRAOUDA. "INVESTIGATING DYNAMIC VORTEX TRANSITIONS IN 2D SUPERCONDUCTORS." Modern Physics Letters B 23, no. 19 (July 30, 2009): 2399–408. http://dx.doi.org/10.1142/s0217984909020461.

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Extensive molecular dynamics simulations were performed on superconducting samples with periodic square arrays of pinning centers where several strengths, sizes, and densities of the pinning centers were considered. By calculating the average speed of the vortices as the driving force increases, we defined two critical currents that divide the states of the vortices into three different states with respect to the magnitude of the driving current. These vortex states are a pinned state, a disordered flow state where only some of the vortices flow in some vortex channels, and an ordered flow state where all the vortices flow in an ordered and collective manner. We have clarified the roles of the number of vortices, the size, the strength, and the number of pinning centers in these three states at several temperatures.
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19

Stajic, J. "A 3D approach to make 2D superconductors." Science 350, no. 6259 (October 22, 2015): 394. http://dx.doi.org/10.1126/science.350.6259.394-c.

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20

DE LLANO, M., and J. F. ANNETT. "GENERALIZED COOPER PAIRING IN SUPERCONDUCTORS." International Journal of Modern Physics B 21, no. 21 (August 20, 2007): 3657–86. http://dx.doi.org/10.1142/s0217979207037661.

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We review Cooper pairing starting from its simplest, original 1956 version of two electrons interacting above the Fermi sea of an ideal Fermi gas (IFG). The two-electron interaction assumed extensively (if not exclusively), is the attractive two-parameter Cooper, and then BCS, model interactions. Hole Cooper pairs (CPs) and electron-hole CPs are then included along with the initial electron-CPs in terms of the single-fermion Green functions implied by the Bethe-Salpeter (BS) integral equation in the ladder approximation. A purely-imaginary CP energy "instability" is recovered that is well-documented in the literature at least since the late 1950's. A novel interpretation of this instability is that an unperturbed Hamiltonian different from the IFG one first used by Cooper suffices to obtain meaningful CPs. Instead of the IFG sea, a BCS-correlated Fermi "sea" used in the BS equation interpreted as the associated unperturbed Hamiltonian leads to real CP energies (with small imaginary terms implying damping). We survey how this has been achieved in 1D, 2D and 3D, and give a more detailed treatment in 2D. A vital distinction is that the original and generalized CPs are true bosons in contrast with BCS pairs that are not ordinary bosons but rather "hard-core bosons" as they do not obey strict Bose commutation rules. Another important common element of the original or generalized CPs (particularly in 2D where ordinary Bose-Einstein condensation (BEC) does not occur) is their linear dispersion relation in leading order in the total (or, center-of-mass) momentum power-series expansion of the CP energy. This theory encompasses, in principle, all empirically known superconductors including quasi-2D superconductors such as cuprates and the ET organic compounds, as well as quasi-1D ones such as the organometallic Bechgaard salts and nanotubes.
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21

BRANDT, ERNST HELMUT. "THERMAL DEPINNING AND “MELTING” OF THE FLUX-LINE LATTICE IN HIGH-Tc SUPERCONDUCTORS." International Journal of Modern Physics B 05, no. 05 (March 1991): 751–95. http://dx.doi.org/10.1142/s0217979291000419.

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In high-Tc superconductors (HTSC) the thermal fluctuation of the vortex lattice (VL) may become large since the vortex lattice is soft due to the strong overlap of the vortex fields and since the temperature T can be high. It was thus argued that the three-dimensional (3D) vortex lattice is thermally entangled and may “melt”. This type of transition and the consequences of melting are not clear as yet since the always present pinning of the vortex cores by material inhomogeneities may cause similar disorder. In HTSC the pinning energy may become comparable with kBT because the coherence length ξ (vortex radius) is small and T may be high. Therefore, thermally activated depinning competes with possible effects of “flux melting”, and the “irreversibility line” in the B-T-plane (B=magnetic field) should better be called “depinning line”. Due to the diffusive character of flux motion the depinning line of a given experiment, a line of constant flux diffusivity D(T, B), depends on the frequency or sweep rate, on the size and shape of the superconductor, and on the field orientation; it is thus not a material property alone. In this review it is argued that theories predicting “new phases of vortex matter” (flux solid, flux liquid, vortex plasma, vortex glass, and hexatic vortex glass) may be improved by replacing the 2D straight-vortex interaction by the correct 3D interaction between all vortex segments. This interaction (a) facilitates vortex crossing and reconnection, (b) reduces the elastic energy of short-wavelength tilt by a very large factor (non-local elasticity), and (c) yields the correct reduction of the tilt energy by the crystal anisotropy. The non-local elasticity of the VL is reviewed and a general solution of the anisotropic London theory for arbitrary vortex arrangements is given. A very useful phenomenological theory of layered superconductors is the Lawrence-Doniach model, which defines a 2D Ginzburg-Landau function in each layer. The point vortices in the layers interact with each other magnetically and, between neighboring layers, by Josephson coupling. At sufficiently large fields their thermal fluctuation is quasi-2D and, at an in general different field, their pinning becomes 2D.
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22

Specht, E. D., A. Goyal, and D. M. Kroeger. "2D and 3D percolation in high-temperature superconductors." Physical Review B 53, no. 6 (February 1, 1996): 3585–89. http://dx.doi.org/10.1103/physrevb.53.3585.

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23

Laflorencie, Nicolas. "Sliding phase in randomly stacked 2d superfluids/superconductors." EPL (Europhysics Letters) 99, no. 6 (September 1, 2012): 66001. http://dx.doi.org/10.1209/0295-5075/99/66001.

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24

Vojta, Matthias, Chiranjeeb Buragohain, and Subir Sachdev. "Impurity spin dynamics in 2D antiferromagnets and superconductors." Physica C: Superconductivity 341-348 (November 2000): 327–28. http://dx.doi.org/10.1016/s0921-4534(00)00503-7.

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25

Cao, Tian De, and Qing Lon Huang. "2D Luttinger liquid behaviors in high-Tc superconductors." Physica C: Superconductivity 433, no. 1-2 (December 2005): 83–86. http://dx.doi.org/10.1016/j.physc.2005.09.015.

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26

Yen, H. L., Y. Lou, Y. N. Xu, W. Y. Ching, and Yan Ching Jean. "2D-ACAR Studies of ET-Based Organic Superconductors." Materials Science Forum 255-257 (September 1997): 482–84. http://dx.doi.org/10.4028/www.scientific.net/msf.255-257.482.

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27

Morita, Yoshifumi, and Kazumi Maki. "Vortex motion in quasi-2D d-wave superconductors." physica status solidi (b) 245, no. 5 (May 2008): 986–91. http://dx.doi.org/10.1002/pssb.200743139.

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28

Maki, M., and H. Won. "Fulde-Ferrell-Larkin-Ovchinnikov state in D-wave superconductors." Journal de Physique IV 12, no. 9 (November 2002): 391. http://dx.doi.org/10.1051/jp4:20020446.

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Recently a few works have been reported on Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)state in d-wave superconductors in layered compounds. In strong contrast to 3D s-wave superconductors where the stripe like state appears, the square lattice like state is formed in d-wave superconductors in quasi-2D system and in a magnetic field within the conducting plane. Indeed there have been reported that FFLO state in beta-(ET) salts and lambda-(BEDT)_ 2GaC1_ 4,though they are not conclusive. We review our recent works on this subject. We propose NMR, STM or transport measurement will provide a definitive test for FFLO state.
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29

Yuan, Noah F. Q., and Liang Fu. "Topological metals and finite-momentum superconductors." Proceedings of the National Academy of Sciences 118, no. 3 (January 11, 2021): e2019063118. http://dx.doi.org/10.1073/pnas.2019063118.

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We show that the Zeeman field can induce a topological transition in two-dimensional spin–orbit-coupled metals and, concomitantly, a first-order phase transition in the superconducting state involving a discontinuous change of Cooper pair momentum. Depending on the spin–orbit coupling strength, we find different phase diagrams of two-dimensional (2D) superconductors under in-plane magnetic field.
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30

Sambandamurthy, G., A. Johansson, E. Peled, D. Shahar, P. G. Björnsson, and K. A. Moler. "Power law resistivity behavior in 2D superconductors across the magnetic field-tuned superconductor-insulator transition." Europhysics Letters (EPL) 75, no. 4 (August 2006): 611–17. http://dx.doi.org/10.1209/epl/i2006-10152-3.

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31

Casesnoves, Francisco. "Genetic Algorithms for Interior Comparative Optimization of Standard BCS Parameters in Selected Superconductors and High-Temperature Superconductors." Standards 2, no. 3 (September 16, 2022): 430–48. http://dx.doi.org/10.3390/standards2030029.

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Inverse least squares numerical optimization, 3D/4D interior optimization, and 3D/4D graphical optimization software and algorithm programming have been presented in a series of previous articles on the applications of the BCS theory of superconductivity and TC dual/multiobjective optimizations. This study deals with the comparison/validation of the optimization results using several different methods, namely, classical inverse least squares (ILS), genetic algorithms (GA), 3D/4D interior optimization, and 2D/3D/4D graphical optimization techniques. The results comprise Tikhonov regularization algorithms and mathematical methods for all the research subjects. The findings of the mathematical programming for optimizing type I chrome isotope superconductors are validated with the genetic algorithms and compared to previous results of 3D/4D interior optimization. Additional rulings present a hypothesis of the new ‘molecular effect’ model/algorithm intended to be proven for Hg-cuprate-type high-temperature superconductors. In molecular effect optimization, inverse least squares and inverse least squares polynomial methods are applied with acceptable numerical and 2D graphical optimization solutions. For the BCS isotope effect and molecular effect, linearization logarithmic transformations for model formula software are implemented in specific programs. The solutions show accuracy with low programming residuals and confirm these findings. The results comprise two strands, the modeling for the isotope effect and molecular effect hypotheses and the development of genetic algorithms and inverse least squares-improved programming methods. Electronic physics applications in superconductors and high-temperature superconductors emerged from the rulings. Extrapolated applications for new modeling for the theory of superconductivity emerged from the numerical and image data obtained.
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32

Lu, Jianming, Oleksandr Zheliuk, Qihong Chen, Inge Leermakers, Nigel E. Hussey, Uli Zeitler, and Jianting Ye. "Full superconducting dome of strong Ising protection in gated monolayer WS2." Proceedings of the National Academy of Sciences 115, no. 14 (March 19, 2018): 3551–56. http://dx.doi.org/10.1073/pnas.1716781115.

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Many recent studies show that superconductivity not only exists in atomically thin monolayers but can exhibit enhanced properties such as a higher transition temperature and a stronger critical field. Nevertheless, besides being unstable in air, the weak tunability in these intrinsically metallic monolayers has limited the exploration of monolayer superconductivity, hindering their potential in electronic applications (e.g., superconductor–semiconductor hybrid devices). Here we show that using field effect gating, we can induce superconductivity in monolayer WS2 grown by chemical vapor deposition, a typical ambient-stable semiconducting transition metal dichalcogenide (TMD), and we are able to access a complete set of competing electronic phases over an unprecedented doping range from band insulator, superconductor, to a reentrant insulator at high doping. Throughout the superconducting dome, the Cooper pair spin is pinned by a strong internal spin–orbit interaction, making this material arguably the most resilient superconductor in the external magnetic field. The reentrant insulating state at positive high gating voltages is attributed to localization induced by the characteristically weak screening of the monolayer, providing insight into many dome-like superconducting phases observed in field-induced quasi-2D superconductors.
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33

SUGAHARA, MASANORI, and NIKOLAI N. BOGOLUBOV. "SUPERFLUIDITY IN SEMI-LOCALIZED 2D ELECTRON SYSTEM WITH CIRCULAR MOLECULAR ORBITS." International Journal of Modern Physics B 16, no. 11n12 (May 20, 2002): 1731–38. http://dx.doi.org/10.1142/s0217979202011354.

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Recently discovered new type of high temperature superconductors have circular molecular orbits in each unit site of 2D s/p electron system. We discuss a new model of superconductivity caused by the correlated state of electrons in the 2D interconnection of circular orbits. This model gives an estimation of the superfluidity transition temperature: T c ≈ 70-200 K for fcc C 60, and T c ≈50-150 K for MgB2 .
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34

Shalóm, D. E., and H. Pastoriza. "Experimental Method to Measure Anisotropic Transport in 2D Superconductors." Journal of Low Temperature Physics 135, no. 1/2 (April 2004): 153–56. http://dx.doi.org/10.1023/b:jolt.0000016978.35265.96.

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35

Braverman, G. M., S. A. Gredeskul, and Y. Avishai. "Magnetic properties of irradiated quasi-2D type-II superconductors." Low Temperature Physics 27, no. 9 (September 2001): 747–51. http://dx.doi.org/10.1063/1.1401183.

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36

Pasquier, C., and S. Friemel. "The mixed state of the quasi-2D organic superconductors." Synthetic Metals 103, no. 1-3 (June 1999): 1845–48. http://dx.doi.org/10.1016/s0379-6779(98)00241-0.

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37

Ammirata, S. M., Mark Friesen, Stephen W. Pierson, LeRoy A. Gorham, Jeffrey C. Hunnicutt, M. L. Trawick, and C. D. Keener. "Dynamic scaling for 2D superconductors in zero magnetic field." Physica C: Superconductivity 313, no. 3-4 (February 1999): 225–31. http://dx.doi.org/10.1016/s0921-4534(99)00010-6.

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38

Möckli, David, Menashe Haim, and Maxim Khodas. "Magnetic impurities in thin films and 2D Ising superconductors." Journal of Applied Physics 128, no. 5 (August 7, 2020): 053903. http://dx.doi.org/10.1063/5.0010773.

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39

Franz, M., and S. Teitel. "Vortex lattice melting in 2D superconductors and Josephson arrays." Physical Review Letters 73, no. 3 (July 18, 1994): 480–83. http://dx.doi.org/10.1103/physrevlett.73.480.

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40

Capezzali, Massimiliano, Hans Beck, and Subodh R. Shenoy. "Regime Interpretation of Anomalous Vortex Dynamics in 2D Superconductors." Physical Review Letters 78, no. 3 (January 20, 1997): 523–26. http://dx.doi.org/10.1103/physrevlett.78.523.

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41

Giaquinta, G., C. Di Mauro, and R. Fazio. "Vortex Unbinding, Fluctuations, and Enhanced Resistivity in 2D Superconductors." physica status solidi (b) 128, no. 1 (March 1, 1985): K97—K99. http://dx.doi.org/10.1002/pssb.2221280159.

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42

Crisan, M., and I. Tifrea. "Crossover between weak and strong coupling in 2D superconductors." Journal of Superconductivity 10, no. 3 (June 1997): 199–203. http://dx.doi.org/10.1007/bf02770551.

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43

Crişan, M. "Geilikman-Kresin formula for 2D high-T c superconductors." Zeitschrift für Physik B Condensed Matter 74, no. 2 (June 1989): 151–53. http://dx.doi.org/10.1007/bf01307380.

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44

Talantsev, Evgeny F. "Intrinsic Coherence Length Anisotropy in Nickelates and Some Iron-Based Superconductors." Materials 16, no. 12 (June 13, 2023): 4367. http://dx.doi.org/10.3390/ma16124367.

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Nickelate superconductors, R1−xAxNiO2 (where R is a rare earth metal and A = Sr, Ca), experimentally discovered in 2019, exhibit many unexplained mysteries, such as the existence of a superconducting state with Tc (up to 18 K) in thin films and yet absent in bulk materials. Another unexplained mystery of nickelates is their temperature-dependent upper critical field, Bc2(T), which can be nicely fitted to two-dimensional (2D) models; however, the deduced film thickness, dsc,GL, exceeds the physical film thickness, dsc, by a manifold. To address the latter, it should be noted that 2D models assume that dsc is less than the in-plane and out-of-plane ground-state coherence lengths, dsc<ξab(0) and dsc<ξc(0), respectively, and, in addition, that the inequality ξc(0)<ξab(0) satisfies. Analysis of the reported experimental Bc2(T) data showed that at least one of these conditions does not satisfy for R1-xAxNiO2 films. This implies that nickelate films are not 2D superconductors, despite the superconducting state being observed only in thin films. Based on this, here we propose an analytical three-dimensional (3D) model for a global data fit of in-plane and out-of-plane Bc2(T) in nickelates. The model is based on a heuristic expression for temperature-dependent coherence length anisotropy: γξ(T)=γξ(0)1−1a×TTc, where a>1 is a unitless free-fitting parameter. The proposed expression for γξ(T), perhaps, has a much broader application because it has been successfully applied to bulk pnictide and chalcogenide superconductors.
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45

Ghosh, A. K., S. K. Bandyopadhyay, and A. N. Basu. "Dimensional Crossover Temperature in Presence of Two Different Josephson Couplings in High Tc Superconductors." Modern Physics Letters B 11, no. 23 (October 10, 1997): 1013–20. http://dx.doi.org/10.1142/s0217984997001225.

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We discuss the crossover from two dimension (2D) to three dimension (3D) in presence of two different types of Josephson couplings in high-T c superconductors. The crossover is estimated taking ab plane paraconductivity. In presence of the different coupling strengths an overlapping region is found in the case of ab plane paraconductivity where the system is neither 2D nor 3D. The role of two different types of couplings and anisotropic nature of the HTSC is discussed in controlling the overlapping region.
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46

Zhan, Pengfei, Zijia Wang, Yiyu Liu, Junyan Wang, and Ying Xing. "Integrating quasi-one-dimensional superconductors on flexible substrates." AIP Advances 12, no. 6 (June 1, 2022): 065319. http://dx.doi.org/10.1063/5.0096973.

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In recent years, the field of flexible electronics has become one of the cross-disciplinary research hotspots, attracting worldwide attention and making rapid advances. So far, there has been plenty of research on the use of two-dimensional (2D) materials in flexible electronics, including graphene, transition metal dichalcogenide, and so on. In this work, we successfully prepared quasi-one-dimensional (Q1D) Nb2Pd0.73S5.97 superconductors on flexible paper by mechanical friction and systematically studied their physical properties at low temperatures. Superconductivity with transition temperature ( Tc) ∼ 6.05 K by Meissner effect was observed in Nb2Pd0.73S5.97 wires coated on flexible paper, and a resistance drop at 4.80 K was confirmed in electrical transport measurements. The lower critical field ( Hc1) of coated paper shows anisotropy effect under parallel and perpendicular magnetic fields, exhibiting a 2D-like feature, unlike the bulk Nb2Pd0.73S5.97 fibers. Our work provides a broader platform for the application of low-dimensional materials in flexible functional devices.
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47

Islam, A. K. M. A., and S. H. Naqib. "Possible explanation of high-Tc in some 2D cuprate superconductors." Journal of Physics and Chemistry of Solids 58, no. 7 (July 1997): 1153–59. http://dx.doi.org/10.1016/s0022-3697(96)00145-x.

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48

Clem, John R., Thomas Pe, and Maamar Benkraouda. "The role of 2D pancake vortices in high-temperature superconductors." Physica C: Superconductivity 282-287 (August 1997): 311–14. http://dx.doi.org/10.1016/s0921-4534(97)00274-8.

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49

Wójcik, P., M. P. Nowak, and M. Zegrodnik. "Superconducting dome in doped 2D superconductors with broken inversion symmetry." Physica E: Low-dimensional Systems and Nanostructures 118 (April 2020): 113893. http://dx.doi.org/10.1016/j.physe.2019.113893.

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50

Kamada, M., and S. Okuma. "Vortex dynamics near zero field in 3D and 2D superconductors." Physica C: Superconductivity and its Applications 364-365 (November 2001): 522–25. http://dx.doi.org/10.1016/s0921-4534(01)00842-5.

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