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In the first part of this review paper, the time-dependent Ginzburg-Landau theory is derived starting from the microscopic BCS model with the help of a derivative expansion. Special attention is paid to two space dimensions, where the…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter $\varepsilon$, and near the first critical field $H_{c_1}$ for which the…

Analysis of PDEs · Mathematics 2025-10-20 Carlos Román , Etienne Sandier , Sylvia Serfaty

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

We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the…

High Energy Physics - Theory · Physics 2011-06-08 Grigoris Panotopoulos

We theoretically study the magnetic field orientation dependence of longitudinal and transverse flux line lattice form factors in uniaxial superconductors with anisotropy ratio corresponding to YBa_2_Cu_3_O_{7-delta}. We discuss influences…

Superconductivity · Physics 2015-04-14 Yuujirou Amano , Masahiro Ishihara , Masanori Ichioka , Noriyuki Nakai , Kazushige Machida

The time-dependent Ginzburg-Landau formalism is applied to analyze the vortex states and vortex dynamics in superconducting spherical nanoshells, subjected to mutually perpendicular strong dc and weak ac magnetic fields. We demonstrate that…

Superconductivity · Physics 2012-11-15 V. N. Gladilin , J. Tempere , J. T. Devreese , V. V. Moshchalkov

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

Possible Lorentz-violating effects in the cosmic microwave background are studied. We provide a systematic classification of renormalizable and nonrenormalizable operators for Lorentz violation in electrodynamics and use polarimetric…

Astrophysics · Physics 2008-11-26 Alan Kostelecky , Matthew Mewes

We propose a comprehensive theoretical formulation of magnetic penetration depth, $\lambda(T)$, based on the microscopic calculations for a general superconducting gap symmetry. Our findings admit the significant role of band structure and…

Superconductivity · Physics 2024-01-24 Mehdi Biderang , Jeehoon Kim , Reza Molavi , Alireza Akbari

Time dependent Ginzburg-Landau equation is solved for type II superconductors numerically, and the dynamics of entering vortices, geometric defects and pinning effects have been investigated. A superconducting wire with ratchet defects is…

Superconductivity · Physics 2017-04-06 Dachuan Lu

Within the Ginzburg-Landau formalism, we predict two novel mechanisms of vortex-antivortex nucleation in a magnetically nanostructured superconductor. Although counterintuitive, nucleation of vortex-antivortex pairs can be activated in a…

Superconductivity · Physics 2009-11-11 M. V. Milosevic , F. M. Peeters

Starting with the generic Ginzburg-Landau expansion from a microscopic $N$-band model, we focus on the case of a 3-band model which was suggested to be relevant to describe some iron-based superconductors. This can lead to the so-called…

Superconductivity · Physics 2017-02-20 Julien Garaud , Mihail Silaev , Egor Babaev

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the…

High Energy Physics - Theory · Physics 2008-11-26 Raman Sundrum

We analyze time reversal violating processes of the p-wave superconductor. The Landau-Ginzuburg effective action has an induced T-violating term of electromagnetic potentials which resembles the Chern-Simons term and causes a mixing between…

Superconductivity · Physics 2009-10-31 J. Goryo , K. Ishikawa

A modified Dirac equation with general Lorentz- and CPT-violating operators in the electromagnetic field is studied. Constraints on and possible sensitivities to Lorentz-violating coefficients in the nonminimal sector up to mass-dimension…

High Energy Physics - Phenomenology · Physics 2016-10-31 Yunhua Ding

This article reviews many of the observational constraints on Lorentz symmetry violation (LV). We first describe the GZK cutoff and other phenomena that are sensitive to LV. After a brief historical sketch of research on LV, we discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ted Jacobson , Stefano Liberati , David Mattingly

We investigate the thermodynamics of a photon gas in an effective field theory model that describes Lorentz violations through dimension-five operators and Horava-Lifshitz theory. We explore the electrodynamics of the model which includes…

High Energy Physics - Theory · Physics 2018-08-31 M. A. Anacleto , F. A. Brito , E. Maciel , A. Mohammadi , E. Passos , W. O. Santos , J. R. L. Santos

We analyze the rhombic to square vortex lattice phase transition in anisotropic superconductors using a variant of Ginzburg-Landau (GL) theory. The mean-field phase diagram is determined to second order in the anisotropy parameter, and…

Superconductivity · Physics 2009-11-10 A. D. Klironomos , Alan T. Dorsey

We propose a mechanism which can generate supercurrents in spin-orbit coupled superconductors with charged magnetic inclusions. The basic idea is that through spin-orbit interaction, the in-plane electric field near the edge of each…

Superconductivity · Physics 2025-06-23 Benjamin A. Levitan , Yuval Oreg , Erez Berg

For multi-component superconductors, it is known that the presence of symmetry breaking fields can lead to multiple superconducting phase transitions. This phenomenon is best illustrated in UPt$_3$. Motivated by recent small angle neutron…

Strongly Correlated Electrons · Physics 2007-05-23 D. F. Agterberg , Matthew J. W. Dodgson