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Electrostatic charging changes the critical temperature of superconducting thin layers. To understand the basic mechanism, it is possible to use the Ginzburg-Landau theory with the boundary condition derived by de Gennes from the BCS…

Superconductivity · Physics 2015-05-13 Jan Kolacek , Pavel Lipavsky , Klaus Morawetz , Ernst Helmut Brandt

Shortly after the Gor'kov microscopic derivation of the Ginzburg-Landau (GL) model via a small order parameter expansion in Bardeen-Cooper-Schrieffer theory of superconductivity, the derivation was carried to next-to-leading order in that…

Superconductivity · Physics 2021-12-08 Filipp N. Rybakov , Egor Babaev

Based on a two dimensional odd-parity superconducting order parameter for Sr_2RuO_4 with p-wave symmetry, we investigate the single vortex and vortex lattice structure of the mixed phase near H_{c1}. Ginzburg-Landau calculations for a…

Superconductivity · Physics 2009-10-31 R. Heeb , D. F. Agterberg

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

Ginzburg-Landau (GL) equations and GL free energy for flux phase and superconductivity are derived microscopically from the $t-J$ model on a square lattice. Order parameter (OP) for the flux phase has direct coupling to a magnetic field, in…

Superconductivity · Physics 2017-12-29 Kazuhiro Kuboki

Both in electroweak theory and QCD, the vacuum in strong magnetic fields develops charged vector condensates once a critical value of the magnetic field is reached. Both ground states have a similar Abrikosov lattice structure and…

High Energy Physics - Phenomenology · Physics 2012-12-04 M. N. Chernodub , J. Van Doorsselaere , H. Verschelde

The magnetic field distribution, the magnetic flux, and the free energy of an Abrikosov vortex loop near a flat surface of type--II superconductors are calculated in the London approximation. The shape of such a vortex line is a semicircle…

supr-con · Physics 2009-10-30 Alexey V. Samokhvalov

In submicron superconducting squares in a homogeneous magnetic field, Ginzburg-Landau theory may admit solutions of the vortex-antivortex type, conforming with the symmetry of the sample [Chibotaru et al., Nature 408, 833 (2000)]. Here we…

Superconductivity · Physics 2008-10-27 R. Geurts , M. V. Milošević , F. M. Peeters

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

To examine the field dependence of the vortex lattice melting transition in two-dimensional (2D) superconductors, Monte Carlo simulations of the 2D Ginzburg-Landau (GL) model are performed by extending the conventional lowest Landau level…

Superconductivity · Physics 2015-05-27 Taro Saiki , Ryusuke Ikeda

We discuss the physics of the vortex state in a $d$-wave superconductor, using the phenomenological Ginzburg-Landau theory, where many novel phenomena arise from the small admixture of the $s$-wave component induced by spatial variations in…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , P. I. Soininen , A. J. Berlinsky , A. L. Fetter

In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

The theory of hole superconductivity predicts that when a metal goes superconducting negative charge is expelled from its interior towards the surface. As a consequence the superconductor in its ground state is predicted to have a…

Superconductivity · Physics 2009-11-10 J. E. Hirsch

We study the effect of a strong electric field on the fluctuation conductivity within the time-dependent Ginzburg-Landau theory for the case of arbitrary dimension. Our results are based on the analytical derivation of the velocity…

Superconductivity · Physics 2009-11-07 Todor Mishonov , Anna Posazhennikova , Joseph Indekeu

The Budd-Vannimenus theorem is modified to the surface of superconductors in the Meissner state. This identity links the surface value of the electrostatic potential to the free energy in the bulk which allows one to evaluate the observed…

Superconductivity · Physics 2007-05-23 Pavel Lipavský , Klaus Morawetz , Jan Koláček , Jiří J. Mareš , Ernst Helmut Brandt

We study the magnetic-field dependence of the vortex-core charge in the Abrikosov lattice of an $s$-wave superconductor based on the augmented quasiclassical equations, where we incorporate the pair-potential gradient (PPG) terms…

Superconductivity · Physics 2022-02-23 Marie Ohuchi , Hikaru Ueki , Takafumi Kita

One of the puzzling aspects of high temperature superconductors is the prevalence of magnetism in the normal state and the persistence of superconductivity in very high magnetic fields. Generally, superconductivity and magnetism are not…

We study a model of interacting vortices in a type II superconductor. In the weak coupling limit, we constructed a mean-field theory which allows us to accurately calculate the vortex density distribution inside a confining potential. In…

Statistical Mechanics · Physics 2015-06-17 Yan Levin , Matheus Girotto , Alexandre Pereira dos Santos

Quasiparticle states around a single vortex in a $p_x\pm i p_y$-wave superconductor are studied on the basis of the Bogoliubov-de Gennes (BdG) theory, where both charge and current screenings are taken into account. Due to the violation of…

Superconductivity · Physics 2009-11-07 Masashige Matsumoto , Rolf Heeb

Jorge Berger shows theoretically in the paper Phys. Rev. B 109, 024501 (2024) that according to the Ginzburg-Landau theory the persistent current can create the persistent voltage, i.e. a dc voltage at thermodynamic equilibrium, on segments…

General Physics · Physics 2024-04-16 A. V. Nikulov
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