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Recent theoretical work has derived the correct form of the Ginzburg-Landau differential equations, for the superconducting order parameter and vector potential, in the presence of a small defect. Here, these equations are applied to the…

Superconductivity · Physics 2009-10-30 Mark Friesen , Paul Muzikar

We present a Ginzburg-Landau formulation of the bosonic resonating valence bond (RVB) theory of superconductivity. The superconducting order parameter is characterized by phase vortices that describe spinon excitations and the transition to…

Strongly Correlated Electrons · Physics 2007-05-23 V. N. Muthukumar , Z. Y. Weng

A general theory of superconductivity based on the pairing of electrons that belong to different electronic bands is presented. These electronic bands arise because of a symmetry breaking at the critical temperature in such a way that one…

Condensed Matter · Physics 2007-05-23 R. Riera , J. L. Marin , R. Betancourt-Riera

The manifestly Lorentz covariant Landau-Ginzburg equations coupled to Maxwell's equations are considered as a possible framework for the effective description of the interactions between low temperature superconductors and magnetic as well…

Superconductivity · Physics 2009-10-31 Jan Govaerts , Damien Bertrand , Geoffrey Stenuit

We discuss the derivation of the electrodynamics of superconductors coupled to the electromagnetic field from a Lorentz-invariant bosonic model of Cooper pairs. Our results are obtained at zero temperature where, according to the third law…

Superconductivity · Physics 2024-06-27 Luca Salasnich

We use the quasiclassical theory of superconductivity to calculate the response of the currents in the core of a vortex to an alternating electric field. We consider relatively clean superconductors with a mean free path larger than the…

Superconductivity · Physics 2007-05-23 Matthias Eschrig

Generally it is accepted that electric field E in type II superconductors is created by the vortex motion, so that it is proportional to the vortex velocity v_L. This assertion is based on the Josephson relation E = - v_L x B, which was…

Superconductivity · Physics 2007-05-23 J. Kolacek , P. Lipavsky , V. Spicka

A characteristic property of superfluidity and -conductivity is the presence of quantized vortices in rotating systems. To study the BEC-BCS crossover the two most common methods are the Bogoliubov-De Gennes theory and the usage of an…

Quantum Gases · Physics 2017-03-08 Nick Verhelst , Sergei Klimin , Jacques Tempere

We describe ferroelectric thin films with circular electrodes and develop a thermodynamic theory that explains previously mysterious experiments. It is found to be especially useful for restricted geometries such as microstructures for…

Materials Science · Physics 2015-06-19 Laurent Baudry , Anaïs Sené , Igor A. Luk'yanchuk , Laurent Lahoche , James F Scott

When an orbital magnetic field suppresses superconductivity, forming periodic vortices in type-II superconductors, subdominant orders can emerge in the vortex cores. Rather than competing with superconductivity, we find that the emergent…

Superconductivity · Physics 2025-06-16 Anurag Banerjee , Catherine Pépin , Nandini Trivedi , Amit Ghosal

A superconducting layer exposed to a perpendicular electric field and a parallel magnetic field is considered within the Ginzburg-Landau (GL) approach. The GL equation is solved near the surface and the surface energy is calculated. The…

Superconductivity · Physics 2009-11-13 K. Morawetz , P. Lipavský , J. Koláček , E. H. Brandt

Recent theoretical understanding of the vortex phase diagram in real layered type II superconductors is briefly described in both cases with fields perpendicular (B \parallel c) and parallel (B \perp c) to the superconducting layers. The…

Superconductivity · Physics 2007-05-23 Ryusuke Ikeda

We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers partly in collaboration with R. Frank, E. Hamza, S. Naboko,…

Mathematical Physics · Physics 2016-09-29 Christian Hainzl , Robert Seiringer

The vortex structure in superconducting stripe states is studied according to the Bogoliubov-de Gennes theory on the two-dimensional Hubbard model with nearest-neighbor sites pairing interaction. The vortex is trapped at the outside region…

Superconductivity · Physics 2009-10-31 Masanori Ichioka , Mitsuaki Takigawa , Kazushige Machida

The distinctive features of the electronic structure of vortex states in superconducting graphene are studied within the Bogolubov-de Gennes theory applied to excitations near the Dirac point. We suggest a scenario describing the subgap…

Superconductivity · Physics 2011-09-15 I. M. Khaymovich , N. B. Kopnin , A. S. Mel'nikov , I. A. Shereshevskii

Equilibrium shape and orientation of vortex lattice are studied for an s-wave tetrahedral superconductor in the vicinity of the upper critical field. The phase diagram, which includes transitions between rhombic and rectangular lattices, is…

Superconductivity · Physics 2009-11-11 V. H. Dao , M. E. Zhitomirsky

We study the superheating field of a bulk superconductor within Ginzburg-Landau theory, which is valid near the critical temperature. We calculate, as functions of the Ginzburg-Landau parameter $\kappa$, the superheating field $\Hsh$ and…

Superconductivity · Physics 2011-03-14 Mark K. Transtrum , Gianluigi Catelani , James P. Sethna

The physics of a planar chiral $p\pm i p$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands…

Superconductivity · Physics 2018-09-26 Daniel Ariad , Yshai Avishai , Eytan Grosfeld

A multilayered structure with a single superconductor layer and a single insulator layer formed on a bulk superconductor is studied. General formulae for the vortex-penetration field of the superconductor layer and the magnetic field on the…

Accelerator Physics · Physics 2014-01-30 Takayuki Kubo , Yoshihisa Iwashita , Takayuki Saeki

Spatially inhomogeneous electron distribution around a single vortex is discussed on the basis of the Bogoliubov-de Gennes theory. The spatial structure and temperature dependence of the electron density around the vortex are presented. A…

Superconductivity · Physics 2009-10-31 N. Hayashi , M. Ichioka , K. Machida