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We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

数学物理 · 物理学 2019-10-01 M. Correggi , N. Rougerie

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

偏微分方程分析 · 数学 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

凝聚态物理 · 物理学 2009-10-28 Ding Chuan Chen , Anupam Garg

We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order parameter minimizing the GL energy is concentrated along the…

数学物理 · 物理学 2019-10-01 M. Correggi , N. Rougerie

We present a new Ginzburg-Landau theory for superconductivity in UPt$_3$, based upon a multicomponent order parameter transforming under an irreducible space group representation; the phase is staggered in real space. Our model can explain…

凝聚态物理 · 物理学 2009-10-22 R. Heid , Ya. B. Bazaliy , V. Martisovitsi , D. L. Cox

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

数学物理 · 物理学 2011-10-20 S. Fournais , A. Kachmar , M. Persson

Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in…

谱理论 · 数学 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

The Ginzburg-Landau (GL) theory is recast using a Hamiltonian involving the complete kinetic energy density which requires that the surface energy must contain a term \nabla |\psi|^2 to support superconducting (SC) states. The GL equations…

超导电性 · 物理学 2009-11-10 Herman J. Fink , Stephen B. Haley

We address the macroscopic theory of superconductivity - the Ginzburg-Landau theory. This theory %Macroscopic theory of superconductivity is based on the celebrated Ginzburg - Landau equations. First developed to explain and predict…

数学物理 · 物理学 2013-08-27 Israel Michael Sigal

It was recently shown that conventional phonon-electron interactions induce triplet pairing states in time-reversal invariant 3D Dirac semi - metals provided magnetic impurities or exchange interactions are strong enough?. The order…

超导电性 · 物理学 2015-02-02 Baruch Rosenstein , Boris Ya. Shapiro , Irina Shapiro

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

偏微分方程分析 · 数学 2016-10-31 Ayman Kachmar

The coexistence of the superconductivity and magnetism in the Ho$_{1-x}$Dy$_x$Ni$_2$B$_2$C is studied by using Ginzburg-Landau theory. This alloy shows the coexistence and complex interplay of superconducting and magnetic order. We propose…

超导电性 · 物理学 2009-10-31 Hyeonjin Doh , Manfred Sigrist , B. K. Cho , Sung-Ik Lee

We consider an extreme type-II superconducting wire with non-smooth cross section, i.e., with one or more corners at the boundary, in the framework of the Ginzburg-Landau theory. We prove the existence of an interval of values of the…

数学物理 · 物理学 2017-01-20 M. Correggi , E. L. Giacomelli

We apply the Ginzburg-Landau theory to the colour superconducting phase of a lump of dense quark matter. We calculate the surface energy of a domain wall separating the normal phase from the super phase with the bulk equilibrium maintained…

高能物理 - 唯象学 · 物理学 2009-11-10 Ioannis Giannakis , Hai-cang Ren

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…

超导电性 · 物理学 2017-12-29 Kazuhiro Kuboki

We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and…

超导电性 · 物理学 2017-12-06 Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

The phase diagram of superconducting UPt$_3$ is explained in a Ginzburg-Landau theory starting from the hypothesis that the order parameter is a pseudo-spin singlet which transforms according to the $E_{1g}$ representation of the $D_{6h}$…

凝聚态物理 · 物理学 2009-10-28 K. A. Park , Robert Joynt

A boundary condition for the Ginzburg-Landau wave function at surfaces biased by a strong electric field is derived within the de Gennes approach. This condition provides a simple theory of the field effect on the critical temperature of…

超导电性 · 物理学 2009-11-11 P. Lipavsky , K. Morawetz , J. Kolacek , T. J. Yang

We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg-Landau theory for extreme type-II materials. In particular, we focus on the response of the superconductor to a strong longitudinal…

数学物理 · 物理学 2021-06-30 Michele Correggi

This paper gives a complete description of the solutions of the one dimensional Ginzburg-Landau equations which model superconductivity phenomena in infinite slabs. We investigate this problem over the entire range of physically important…

超导电性 · 物理学 2009-10-31 Amandine Aftalion , William C. Troy
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