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In this paper we study the Aharonov-Bohm (A-B) effect and Anderson-Higgs mechanism in Ginzburg-Landau model of superconductors from the perspective of the decomposition of U(1) gauge potential. By the Helmholtz theorem, we derive exactly…

Superconductivity · Physics 2015-05-30 Jian-Feng Li , Yu Jiang , Wei-Min Sun , Hong-Shi Zong , Fan Wang

Theory of the influence of the thermal fluctuations on the electric transport beyond linear response in superconductors is developed within the framework of the time dependent Ginzburg - Landau approach. The I - V curve is calculated using…

Superconductivity · Physics 2017-09-07 Lei Qiao , Dingping Li , Baruch Rosenstein

From the point of view of time-dependent Ginzburg Landau (TDGL) theory, a Josephson-like relation is derived for an Abrikosov vortex lattice accelerated and deformed by applied fields. Beginning with a review of the Josephson Relation…

Superconductivity · Physics 2015-06-03 Peter Matlock

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

At zero magnetic field we have observed an electromagnetic radiation from superconductors subjected by a transverse elastic wave. This radiation has an inertial origin, and is a manifestation of the acoustic Stewart-Tolman effect. The…

Superconductivity · Physics 2009-11-11 V. D. Fil , D. V. Fil , A. N. Zholobenko , N. G. Burma , Yu. A. Avramenko , J. D. Kim , S. M. Choi , S. I. Lee

We calculate the contribution of superconducting fluctuations above the critical temperature $T_c$ to the transverse thermoelectric response $\alpha_{xy}$, the quantity central to the analysis of the Nernst effect. The calculation is…

Superconductivity · Physics 2009-11-07 Iddo Ussishkin

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space $\rm AdS_4$, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of $\rm…

High Energy Physics - Theory · Physics 2016-11-03 W. M. Wu , M. P. Pierpoint , D. M. Forrester , F. V. Kusmartsev

When a superconductor is heated above its critical temperature $T_c$, macroscopic coherence vanishes, leaving behind droplets of thermally fluctuating Cooper pair. This superconducting fluctuation effect above $T_c$ has been investigated…

We use a numerical solution of the deterministic TDGL equations to determine the response induced by a probe field in a material quenched into a superconducting state. We characterize differences in response according to whether the probe…

Superconductivity · Physics 2017-08-09 D. M. Kennes , A. J. Millis

The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations - the Maxwell equation for the vector potential,…

Superconductivity · Physics 2009-11-07 Pavel Lipavsky , Jan Kolacek , Klaus Morawetz , Ernst Helmut Brandt

Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a $d_{x^2-y^2}$ superconductor. For a single vortex, the $s$-wave order parameter has the expected four-lobe structure in a…

Condensed Matter · Physics 2016-08-31 A. J. Berlinsky , A. L. Fetter , M. Franz , C. Kallin , P. I. Soininen

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

We construct a Ginsburg Landau (GL) theory to study the phases of liquid, solid, superfluid, especially a possible supersolid and phase transitions among these phases in a unified framework. In this GL, we put the two competing orders…

Strongly Correlated Electrons · Physics 2010-06-10 Jinwu Ye

We present the global topological phase diagram of a two-dimensional electron gas placed in a quantizing magnetic field and proximitized by a superconducting vortex lattice. Our theory allows for arbitrary ratios of the pairing amplitude,…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Daniil S. Antonenko , Liang Fu , Leonid I. Glazman

Unlike the linear Hall effect that requires broken time-reversal symmetry, the nonlinear Hall effect may occur in time-reversal symmetric systems as long as there exists a non-zero Berry curvature dipole in the absence of inversion…

Mesoscale and Nanoscale Physics · Physics 2025-04-17 Zi-Hao Dong , Hui Yang , Yi Zhang

Recently a phenomenological Ginzburg-Landau (GL) theory has been proposed to describe the occurrence of a locally time-reversal symmetry (T) breaking state near a Josephson junction between unconventional superconductors. In this paper we…

Superconductivity · Physics 2009-10-31 Kazuhiro Kuboki , Manfred Sigrist

We present a review of theoretical investigations into the Kohn-Luttinger nonphonon superconductivity mechanism in various 3D and 2D repulsive electron systems described by the Fermi-gas, Hubbard, and Shubin-Vonsovsky models. Phase diagrams…

Superconductivity · Physics 2014-11-26 M. Yu. Kagan , V. V. Val'kov , V. A. Mitskan , M. M. Korovushkin

The dynamical response of the Abrikosov vortex lattice in the presence of an oscillating driving field is calculated by constructing an analytical solution of the time-dependent Ginzburg-Landau equation. The solution is steady-state, and…

Superconductivity · Physics 2010-10-29 F. Pei-Jen Lin , Peter Matlock

A recently proposed form of dual theory for the three dimensional superconductor is rederived starting from the lattice electrodynamics and studied by renormalization group. The superfluid density below and close to the transition vanishes…

Superconductivity · Physics 2009-10-28 Igor F. Herbut