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Related papers: Surface Effects in Superconductors with Corners

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We propose a new type of supercurrent diode effect on the surface of a superconductor with surface states under in-plane magnetic fields. Surface supercurrent diode effect can lead to a perfect supercurrent diode in a considerably wide…

Superconductivity · Physics 2023-05-11 Noah F. Q. Yuan

We present a study of the magnetic response of Type-II superconductivity in the extreme pinning limit, where screening currents within an order of magnitude of the Ginzburg-Landau depairing critical current density develop upon the…

Superconductivity · Physics 2007-05-23 D. P. Young , M. Modovan , R. Prozorov , P. W. Adams

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…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg

A superconducting layer exposed to a perpendicular electric field and a parallel magnetic field is considered within the Ginzburg-Landau (GL) approach. The GL equation is solved near the surface and the surface energy is calculated. The…

Superconductivity · Physics 2009-11-13 K. Morawetz , P. Lipavský , J. Koláček , E. H. Brandt

The effect of the magnetic field on a capacitor with a superconducting electrode is studied within the Ginzburg-Landau approach. It is shown that the capacitance has a discontinuity at the onset of the surface superconductivity $B_{\rm c3}$…

Superconductivity · Physics 2011-12-15 K. Morawetz , P. Lipavsky , J. J. Mares

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In…

Analysis of PDEs · Mathematics 2017-09-29 Wafaa Assaad , Ayman Kachmar , Mikael Persson-Sundqvist

In the framework of the Ginzburg-Landau equation, the temperature dependence of the upper critical field of small ring-like superconductors is studied. At equilibrium small parts of the phase diagram show paramagnetism for width / radius…

Superconductivity · Physics 2009-11-07 C. Meyers

It is shown here that surfaces of high-temperature superconductors are covered by dipole layers. The charge density modulation is induced by the local suppression of the gap function at the surface. This effect is studied in the framework…

Superconductivity · Physics 2009-10-30 Thorsten Emig , Kirill Samokhin , Stefan Scheidl

The photo-response of a thin current-carrying superconducting stripe with a 90-degree turn is studied within the time-dependent Ginzburg-Landau theory. We show that the photon acting near the inner corner (where the current density is…

Superconductivity · Physics 2015-06-05 G. R. Berdiyorov , M. V. Milošević , F. M. Peeters

We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity survives in the bulk of the material but…

Mathematical Physics · Physics 2025-08-18 M. Correggi , A. Kachmar

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

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters,…

Superconductivity · Physics 2025-10-31 Harald Waje , Fabian Jakubczyk , Jeroen van den Brink , Carsten Timm

Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain…

Mathematical Physics · Physics 2020-10-28 Wafaa Assaad

The influence of a magnetic field on superconductivity is usually described either phenomenologically, using Ginzburg-Landau theory, or semiclassically using Gor'kov theory. In this article we discuss the influence of magnetic fields on the…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , Hiroshi Akera , M. R. Norman

We study the finite-size and boundary effects on a time-reversal-symmetry breaking p-wave superconducting state in a mesoscopic disc geometry using Ginzburg-Landau theory. We show that, for a large parameter range, the system exhibits…

Superconductivity · Physics 2012-10-22 Bor-Luen Huang , S. -K. Yip

The behaviour of the magnetic field inside the superconducting quark matter core of a neutron star is investigated in the framework of the Ginzburg-Landau theory. We take into account the simultaneous coupling of the diquark condensate…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. M. Sedrakian , D. Blaschke , K. M. Shahabasyan , D. N. Voskresensky

We establish exponential bounds on the Ginzburg-Landau order parameter away from the curve where the applied magnetic field vanishes. In the units used in this paper, the estimates are valid when the parameter measuring the strength of the…

Analysis of PDEs · Mathematics 2016-04-11 Bernard Helffer , Ayman Kachmar

The energy of a type II superconductor placed in a strong non-uniform, smooth and signed magnetic field is displayed via a universal characteristic function defined by means of a simplified two dimensional Ginzburg-Landau functional. We…

Analysis of PDEs · Mathematics 2017-03-28 Ayman Kachmar , Marwa Nasrallah

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

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…

Superconductivity · Physics 2009-11-10 Herman J. Fink , Stephen B. Haley