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In view of the question about the vortex glass theory of the freezing of disordered vortex matter raised by recent experimental observations we reinvestigate the critical scaling of high $T_c$ superconductors. We find that dc…

Superconductivity · Physics 2007-05-23 Z. H. Ning , X. Hu , K. X. Chen , L. Yin , G. Lu , X. L. Xu , J. D. Guo , F. R. Wang , C. Y. Li , D. L. Yin

We demonstrate that the intrinsic superconducting diode effect can affect the structure, interactions and dynamics of Abrikosov vortices in non-centrosymmetric superconductor/ferromagnet hybrid structures. The Ginzburg-Landau (GL) theory…

Superconductivity · Physics 2025-10-10 A. V. Putilov , D. V. Zakharov , A. Kudlis , A. S. Mel'nikov , A. I. Buzdin

The methods for studying the role of vortex loops in the phase transition of the Ginzburg-Landau theory of superconductivity using lattice Monte Carlo simulations are discussed. Gauge-invariant observables that measure the properties of the…

Condensed Matter · Physics 2009-10-31 A. Rajantie

The effects of static electric fields on the superconducting state are studied within a relativistic extension of the BCS theory of superconductivity.

Superconductivity · Physics 2017-08-23 Jan Govaerts , Damien Bertrand

Superconducting diode effects (SDE), both in bulk superconductors and in Josephson junctions, have garnered a lot of attention due to potential applications in classical and quantum computing, as well as superconducting sensors. Here we…

Superconductivity · Physics 2025-10-31 Daniel Shaffer , Alex Levchenko

The new type of solutions of the London equation for type-II superconductors is obtained to describe the ring-shaped (toroidal) Abrikosov vortices. The specific feature of these solutions is the self-consistent localization of both the…

Condensed Matter · Physics 2009-11-29 V. A. Kozlov , A. V. Samokhvalov

Novel vortex phase and nature of double transition field are investigated by two-component Ginzburg-Landau theory in a situation where fourfold-twofold symmetric superconducting double transition occurs. The deformation from 60 degree…

Superconductivity · Physics 2007-08-01 Yasushi Matsunaga , Masanori Ichioka , Kazushige Machida

We have numerically investigated the dynamics of vortices in a clean layered superconductor placed in a perpendicular magnetic field. We describe the energetics using a Ginzburg-Landau free energy functional in the lowest Landau level…

Superconductivity · Physics 2007-05-23 W. A. Al-Saidi , D. Stroud

Superconductivity remains one of most fascinating quantum phenomena existing on a macroscopic scale. Its rich phenomenology is usually described by the Ginzburg-Landau (GL) theory in terms of the order parameter, representing the…

Superconductivity · Physics 2023-03-28 M. C. Diamantini , C. A. Trugenberger , Sheng-Zong Chen , Yu-Jung Lu , Chi-Te Liang , V. M. Vinokur

The potential energy problem in an electrostatically bound two-body system is studied in the framework of a recently proposed impact model of the electrostatic force and in analogy to the potential energy in a gravitationally bound system.…

General Physics · Physics 2015-01-23 K. Wilhelm , B. N. Dwivedi

We derive Ginzburg-Landau action by systematically integrating out electronic degrees of freedom in the framework of the Keldysh nonlinear sigma-model of disordered superconductors. The resulting Ginzburg-Landau functional contains a…

Superconductivity · Physics 2009-11-13 Alex Levchenko , Alex Kamenev

The Ginzburg-Landau theory is analyzed in the case of small dimension superconductors, a couple of orders of magnitude above the coherence length, where the theory is still valid but quantum fluctuations become significant. In this regime,…

Superconductivity · Physics 2015-04-23 Miguel C. N. Fiolhais , Joseph L. Birman

The possible connection between High-T$_c$ superconductivity and quantum chromodynamics is considered that is based on two interacting Ginzburg-Landau equations. For High-T$_c$ superconductivity these two equations describe Cooper electrons…

Superconductivity · Physics 2007-05-23 Vladimir Dzhunushaliev

The physical mechanism of superconductivity is proposed on the basis of carrier-induced dynamic strain effect. By this new model, superconducting state consists of the dynamic bound state of superconducting electrons, which is formed by the…

Superconductivity · Physics 2010-12-07 Xue-Shu Zhao , Yu-Ru Ge , Xin Zhao , Hong Zhao

Building on earlier work, we have given in our paper in Contemporary Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and have shown…

Mathematical Physics · Physics 2011-12-09 T. Tzaneteas , I. M. Sigal

We study the ac electric potential induced by the electron sound wave (a perturbation of the electron distribution function propagating with the Fermi velocity) in single crystals of high purity gallium. The potential and the elastic…

Superconductivity · Physics 2015-06-03 Yu. A. Avramenko , E. V. Bezuglyi , N. G. Burma , V. D. Fil

We report the numerical solutions of the system of equations, which describes the electrodynamics of s-wave superconductors, for time independent fields and half-plane superconductor geometry. The results are: i)the applied magnetic field…

Superconductivity · Physics 2017-10-20 Naoum Karchev , Tsvetan Vetsov

Vortex motion in type II superconductors is studied starting from a variant of the time dependent Ginzburg-Landau equations, in which the order parameter relaxation time is taken to be complex. Using a method due to Gor'kov and Kopnin, we…

Condensed Matter · Physics 2008-11-26 Alan T. Dorsey

In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg--Landau equations which indeed have this property, as…

Mathematical Physics · Physics 2024-02-15 Alberto Enciso , Daniel Peralta-Salas

A stability criterion is worked out for the superconducting phase. The validity of a prerequisite, established previously for persistent currents, is thereby confirmed. Temperature dependence is given for the specific heat and concentration…

Superconductivity · Physics 2021-01-27 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba