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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…

Spectral Theory · Mathematics 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

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…

Superconductivity · Physics 2015-02-02 Baruch Rosenstein , Boris Ya. Shapiro , Irina Shapiro

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

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

Using the non-linear Ginzburg-Landau (GL) eqs. type I superconducting disks of finite radius ($R$) and thickness ($d$) are studied in a perpendicular magnetic field. Depending on $R$ and $d$, first or second order phase transitions are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Singha Deo , F. M. Peeters , V. A. Schweigert

This paper aims to show that, in the limit of strong magnetic fields, the optimal domains for eigenvalues of magnetic Laplacians tend to exhibit symmetry. We establish several asymptotic bounds on magnetic eigenvalues to support this…

Spectral Theory · Mathematics 2025-09-11 Vladimir Lotoreichik , Léo Morin

In this paper we analyze the limit behavior of a family of solutions of the Laplace operator with homogeneous Neumann boundary conditions, set in a two-dimensional thin domain which presents weak oscillations on both boundaries and with…

Analysis of PDEs · Mathematics 2024-05-28 Pricila S. Barbosa , Manuel Villanueva-Pesqueira

The recent experimental demonstration of spin-polarized supercurrents offer a venue for establishment of a superconducting analogue to conventional spintronics. Whereas domain wall motion in purely magnetic structures is a well-studied…

Superconductivity · Physics 2015-06-18 Jacob Linder , Klaus Halterman

This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and in the semiclassical limit, we establish a four-term…

Spectral Theory · Mathematics 2022-03-14 Frédéric Hérau , Nicolas Raymond

We have recently proposed a theoretical model for superconductors endowed with two distinct superconducting phases, described by two scalar order parameters which condensate at different critical temperatures. On analyzing the magnetic…

Superconductivity · Physics 2009-11-13 E. Di Grezia , S. Esposito , G. Salesi

The in-plane diamagnetism around the Meissner transition was measured in a Tl$_2$Ba$_2$Ca$_2$Cu$_3$O$_{10}$ single crystal of high chemical and structural quality, which minimizes the inhomogeneity and disorder rounding effects on the…

Superconductivity · Physics 2009-11-13 J. Mosqueira , L. Cabo , F. Vidal

We present and analyze field cooled magnetization data, revealing for 0<H<5 T remarkable consistency with a magnetic field induced finite size effect. It is traced back to the fact that the correlation length gsi cannot grow beyond the…

Superconductivity · Physics 2007-05-23 T. Schneider , R. Khasanov , D. Di Castro , H. Keller , Mun-Seog Kim , C. U. Jung , Sung-Ik Lee

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

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…

Analysis of PDEs · Mathematics 2016-10-31 Ayman Kachmar

This article develops duality principles applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory.…

Analysis of PDEs · Mathematics 2021-01-29 Fabio Silva Botelho

We study how the supercurrent flow pattern is altered by inhomogeneities in superconducting films. Working in the vicinity of the critical temperature and assuming a model of short-range disorder in the quadratic term of the Ginzburg-Landau…

Superconductivity · Physics 2025-05-01 Mikhail A. Skvortsov , Oleg B. Zuev , Dina I. Fazlizhanova

Multi-component spin-singlet superconductors with competing 0- and $\pi$-pairing couplings, as in $s_{++}$ and $s_{\pm}$ phases, are close to instabilities with a spontaneous breaking of time-reversal symmetry. We demonstrate that the…

Superconductivity · Physics 2022-08-29 Yuriy Yerin , Stefan-Ludwig Drechsler , Mario Cuoco , Caterina Petrillo

The normal/superconducting phase boundary Tc has been calculated for mesoscopic loops, as a function of an applied perpendicular magnetic field H. While for thin-wire loops and filled disks the Tc(H) curves are well known, the intermediate…

Superconductivity · Physics 2009-10-31 V. Bruyndoncx , L. Van Look , V. V. Moshchalkov

We study dynamic properties of thin films near the superconductor - insulator transition. We formulate the problem in a phase representation. The key new feature of our model is the assumption of a {\it local} ohmic dissipative mechanism.…

Condensed Matter · Physics 2009-10-28 Karl-Heinz Wagenblast , Anne van Otterlo , Gerd Schön , Gergely T. Zimányi

We consider the Laplacian with a non-homogeneous metric in a tubular neighbourhood of a compact hypersurface in the Euclidean space of arbitrary dimension, subject to Neumann boundary conditions. It is shown that, in the limit of the width…

Mathematical Physics · Physics 2022-04-26 Romana Kvasnickova
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