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A Ginzburg-Landau free energy for a superconducting chiral p-wave order parameter is derived from a two-dimensional tight binding lattice model with weak spin-orbit coupling included as a general symmetry-breaking field. Superconductivity…

Superconductivity · Physics 2018-07-18 Fredrik Nicolai Krohg , Asle Sudbø

In a convex domain $\O\subset\R^3$, we consider the minimization of a 3D-Ginzburg-Landau type energy $E_\v(u)=1/2\int_\O|\n u|^2+\frac{1}{2\v^2}(a^2-|u|^2)^2$ with a discontinuous pinning term $a$ among $H^1(\O,\C)$-maps subject to a…

Analysis of PDEs · Mathematics 2012-09-03 Mickaël Dos Santos

Reentrant superconductivity in strong magnetic fields challenges the conventional expectation that magnetic fields necessarily suppress superconductivity. We show that reentrant superconducting instability can arise from the competition…

Superconductivity · Physics 2026-05-18 Jun Goryo

We study the finite-size and boundary effects on a p-wave superconductor in a mesoscopic rectangular sample using Ginzburg-Landau (GL) and quasi-classical (QC) Green's function theory. Except for a square sample with parameters far away…

Superconductivity · Physics 2013-07-10 Bor-Luen Huang , S. -K. Yip

Domain walls in a tetragonal chiral p-wave superconductors with broken time reversal symmetry are analyzed in the framework of the Ginsburg-Landau theory. The energy and the jump of the magnetic induction on the wall were determined for…

Superconductivity · Physics 2010-05-10 N. A. Logoboy , E. B. Sonin

A topological theory of d-wave superconductors is derived in this thesis. Ginzburg-Landau theory describes superconductivity by defining a complex order parameter and applying Landau's theory for phase transitions. However, there is no…

Superconductivity · Physics 2008-04-09 Maria Hermanns

We investigate the onset of superconductivity in magnetic field for a clean two-dimensional multiple-band superconductor in the vicinity of the Lifshitz transition when one of the bands is very shallow. Due to small number of carriers in…

Superconductivity · Physics 2017-05-05 Kok Wee Song , Alexei E. Koshelev

Effects of the anisotropy of Cooper pairs in spin-triplet ferromagnetic superconductors are investigated on the basis of the Ginzburg-Landau theory. A special attention is paid to the triggering of the superconducting state by the…

Astrophysics · Physics 2008-11-26 Diana V. Shopova , Tsvetomir E. Tsvetkov , Dimo I. Uzunov

In this work, we explore the generalities of the supercurrent diode effect. As an illustrative example, we examine a model of a two-dimensional superconductor with Rashba-type spin-orbit coupling under an in-plane magnetic field and in the…

Superconductivity · Physics 2024-07-16 Jaglul Hasan , Daniel Shaffer , Maxim Khodas , Alex Levchenko

We propose a simple explanation of unconventional thermodynamical and magnetic properties observed for Sr2RuO4. Actually, our two-phase model of superconductivity, based on a straight generalization of the Ginzburg-Landau theory, does…

Superconductivity · Physics 2010-11-11 E. Di Grezia , S. Esposito , G. Salesi

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous…

Superconductivity · Physics 2013-04-30 Masaki Ishikawa , Yasumasa Tsutsumi , Masanori Ichioka , Kazushige Machida

In the first part of this work an overview of the available data on the paramagnetic effect recently discovered in superconductors was given as well as a possible explanation of the effect. Here the consequences caused by this weakly…

Superconductivity · Physics 2007-05-23 S. G. Gevorgyan

We analyze a mean field model for $3$d anisotropic superconductors with a layered structure, in the presence of a strong magnetic field. The mean field model arises as the $Gamma$-limit of the Lawrence-Doniach energy in certain regimes. A…

Analysis of PDEs · Mathematics 2019-01-08 Andres Contreras , Guanying Peng

At high magnetic field, the semiclassical approximation which underlies the Ginzburg-Landau theory of the mixed state of type II superconductors breaks down. In a quasi-1D superconductor with an {\it open Fermi surface}, a high magnetic…

Condensed Matter · Physics 2009-10-22 N. Dupuis

The Ginzburg-Landau theory is used to model the order parameter of a finite-size mesoscopic ring to investigate the effects of the onset of screening currents on the transport of incoming ones. The magnetic flux breaks the symmetry of…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 G. P. Papari , V. M. Fomin

In the usual Ginzburg-Landau theory the critical value of the ratio of two fundamental length scales in the thery $\kappa_c=1/\sqrt{2}$ separates regimes of type-I and type-II superconductivity. The latter regime possess thermodynamically…

Superconductivity · Physics 2015-05-19 Egor Babaev , Johan Carlstrom

We consider different effects that arise when time-reversal symmetry breaking superconductors are subjected to an external magnetic field, thus rendering the superconductor to be in the mixed state. We focus in particular on two…

Superconductivity · Physics 2009-11-13 Mihail A. Silaev , Takehito Yokoyama , Jacob Linder , Yukio Tanaka , Asle Sudbø

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

YBa$_2$Cu$_3$O$_7$ (YBCO) exhibits a large anisotropy between the $a$ and $b$ axes in the CuO$_2$ planes because of the presence of CuO chains. In order to account for such an anisotropy we develop a Ginzburg-Landau (GL) theory for an…

Condensed Matter · Physics 2007-05-23 Ji-Hai Xu , Yong Ren , C. S. Ting

The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys.…

Superconductivity · Physics 2007-05-23 M. Dudka , R. Folk , G. Moser
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