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We study the two-dimensional spin-charge separated Ginzburg-Landau theory containing U(1) gauge interactions as a semi-phenomenological model describing fluctuating condensates in high temperature superconductivity. Transforming the…

Superconductivity · Physics 2009-10-31 Atsuya Kumagai , Masahiko Hayashi , Hiromichi Ebisawa

We examine the behavior of a one-dimensional superconducting wire exposed to an applied electric current. We use the time-dependent Ginzburg-Landau model to describe the system and retain temperature and applied current as parameters.…

Superconductivity · Physics 2009-11-13 J. rubinstein , P. Sternberg , Q. Ma

We study two superconducting systems using the Landau-Ginzburg equations. The first is a superconducting half-space with an applied magnetic field parallel to the surface. We calculate the maximum applied field that still supports…

Superconductivity · Physics 2007-05-23 Andrew J. Dolgert

It is an open challenge to analyze the crystalline color superconducting phases that may arise in cold dense, but not asymptotically dense, three-flavor quark matter. At present the only approximation within which it seems possible to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Massimo Mannarelli , Krishna Rajagopal , Rishi Sharma

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

An introductory review of physics of color superconducting state of matter is presented. Comparison with superconductivity in electron systems reveals difficulties involved in formulating color superconductivity theory at moderately…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. O. Kerbikov

We propose an analytical Landau-Ginzburg theory of the charge density waves coupled with lattice and electronic long-range order parameters. Examples of long-range order include electronic wave function of superconducting Cooper pairs,…

Materials Science · Physics 2023-05-16 Anna Morozovska , Eugene Eliseev , Venkatraman Gopalan , Long-Qing Chen

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects…

High Energy Physics - Theory · Physics 2026-05-21 Makoto Natsuume

We derive Ginzburg-Landau-like action for two-dimensional disordered superconductor under far-from-equilibrium conditions in a fluctuational regime. Then, utilizing it, we calculate fluctuation induced density of states, Maki-Thomson and…

Superconductivity · Physics 2015-05-28 A. Petkovic , N. M. Chtchelkatchev , V. M. Vinokur

In this article the Ginzburg-Landau theory ideas are considered in their application to the description of fluctuations influence on the superfluid density in superconductor. The conclusion about the availability of two incompatible…

Superconductivity · Physics 2009-10-20 Iogann Tolbatov

We have studied disordering effects on the coefficients of Ginzburg - Landau expansion in powers of superconducting order - parameter in attractive Anderson - Hubbard model within the generalized $DMFT+\Sigma$ approximation. We consider the…

Superconductivity · Physics 2017-08-10 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We discuss the phase structure of dense matter, in particular the nature of the transition between hadronic and quark matter. Calculations within a Ginzburg-Landau approach show that the axial anomaly can induce a critical point in this…

High Energy Physics - Phenomenology · Physics 2015-03-17 Andreas Schmitt , Stephan Stetina , Motoi Tachibana

In this paper, we introduce a Ginzburg-Landau (GL) theory for the extended-$s$ and d-wave superconductors (SC) in granular systems that is defined on a lattice. In contrast to the ordinary Abelian Higgs model (AHM) that is a GL theory for…

Superconductivity · Physics 2015-06-25 Tomoyoshi Ono , Ikuo Ichinose

This article develops duality principles applicable to non-convex models in the calculus of variations. The results here developed are applied to Ginzburg-Landau type equations. For the first and second duality principles, through an…

Optimization and Control · Mathematics 2018-10-11 Fabio Botelho

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

We study the gauge field fluctuations in dense quark matter and determine the temperature of the induced first-order phase transition to the color-superconducting phase in weak coupling. We find that the local approximation of the coupling…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ioannis Giannakis , Defu Hou , Hai-cang Ren , Dirk H. Rischke

Motivated by the paper by J. Berger and K. Rubinstein \cite{BeRu} and other recent studies \cite{GiPh}, \cite{LuPa1}, \cite{LuPa2}, we analyze the Ginzburg-Landau functional in an open bounded set $\Omega$. We mainly discuss the bifurcation…

Mathematical Physics · Physics 2007-05-23 Bernard Helffer , Mathieu Dutour

We use Ginzburg-Landau theory to study the $H_{c2}$ transition in layered superconductors with field parallel to the layers, finding a continuous 3d freezing transition to a triangular vortex super-solid in the three-dimensional XY…

Condensed Matter · Physics 2009-10-28 Leon Balents , Leo Radzihovsky

Holographic superconductors are holographic duals of superconductors. Macroscopically, a superconductor should be described by the Ginzburg-Landau (GL) theory. There is ample evidence that the holographic superconductors are described by…

High Energy Physics - Theory · Physics 2025-12-18 Makoto Natsuume

Using the Ginzburg-Landau theory for two-band superconductors, we determine the surface energy, sigma_s, between coexisting normal and superconducting states at the thermodynamic critical magnetic field. Close to the transition temperature,…

Superconductivity · Physics 2015-05-19 Jani Geyer , Rafael M. Fernandes , V. G. Kogan , Jörg Schmalian
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