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We will describe a new superconductivity mechanism, proposed by the authors in [1], which is based on a topologically ordered ground state rather than on the usual Landau mechanism of spontaneous symmetry breaking. Contrary to anyon…

高能物理 - 理论 · 物理学 2007-05-23 M. C. Diamantini , P. Sodano , C. A. Trugenberger

Magnetic properties of layered high temperature superconductors with a weak interlayer coupling in the region of the critical fluctuations are investigated in the framework of the Ginzburg--Landau approach. The sample magnetization is…

超导电性 · 物理学 2007-05-23 Gregory M. Braverman

We discuss an effect of the electrostatic field on superconductivity near the surface. First, we use the microscopic theory of de Gennes to show that the electric field changes the boundary condition for the Ginzburg-Landau function.…

超导电性 · 物理学 2011-12-14 Pavel Lipavsky , Jan Kolacek , Klaus Morawetz

Boundary conditions for a superconducting order parameter at a diffusive scattering boundary are derived from microscopic theory. The results indicate that for all but isotropic gap functions the diffusive boundary almost completely…

凝聚态物理 · 物理学 2009-10-28 D. F. Agterberg , M. B. Walker

We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. The applied magnetic field varies smoothly and is allowed to vanish non-degenerately along a curve. Assuming…

偏微分方程分析 · 数学 2014-11-21 Kamel Attar

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…

凝聚态物理 · 物理学 2015-06-25 A. H. MacDonald , Hiroshi Akera , M. R. Norman

We study the Ginzburg-Landau functional describing an extreme type-II superconductor wire with cross section with finitely many corners at the boundary. We derive the ground state energy asymptotics up to $ o(1) $ errors in the surface…

数学物理 · 物理学 2021-11-04 Michele Correggi , Emanuela L. Giacomelli

We study the Ginzburg-Landau model of type-I superconductors in the regime of small external magnetic fields. We show that, in an appropriate asymptotic regime, flux patterns are described by a simplified branched transportation functional.…

偏微分方程分析 · 数学 2018-03-21 Sergio Conti , Michael Goldman , Felix Otto , Sylvia Serfaty

In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the $L^2$-norm of the Ginzburg-Landau order parameter. The formula is valid in the bulk regime where the intensity of the applied magnetic…

偏微分方程分析 · 数学 2018-11-13 Bernard Helffer , Ayman Kachmar

The phenomena of superconductivity and charge density waves are observed in close vicinity in many strongly correlated materials. Increasing evidence from experiments and numerical simulations suggests both phenomena can also occur in an…

强关联电子 · 物理学 2025-09-22 Niccolò Baldelli , Hannes Karlsson , Benedikt Kloss , Matthew Fishman , Alexander Wietek

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…

超导电性 · 物理学 2007-05-23 Andrew J. Dolgert

In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function,…

超导电性 · 物理学 2024-06-21 E. A. Reis , G. X. A. Petronilo , R. G. G. Amorim , H. Belich , F. C. Khanna , A. E. Santana

We study the Ginzburg-Landau equations in the presence of large electric currents, that are smaller than the critical current where the normal state losses its stability. For steady-state solutions in the large $\kappa$ limit, we prove that…

数学物理 · 物理学 2016-09-21 Yaniv Almog , Bernard Helffer , Xing-Bin Pan

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

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,…

超导电性 · 物理学 2015-05-19 Jani Geyer , Rafael M. Fernandes , V. G. Kogan , Jörg Schmalian

We present an analysis of the Ginzburg-Landau equations for the description of a two-dimensional superconductor in a bounded domain. Using the properties of a special integrability point of these equations which allows vortex solutions, we…

介观与纳米尺度物理 · 物理学 2016-08-31 E. Akkermans , K. Mallick

A transversally driven isotropic ferromagnet being under the influence of a static external and an uniaxial internal anisotropy field is studied. We consider the dissipative Landau-Lifshitz equation as the fundamental equation of motion and…

patt-sol · 物理学 2009-10-28 F. Matthäus , H. Sauermann

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.…

超导电性 · 物理学 2007-05-23 M. Dudka , R. Folk , G. Moser

We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that…

偏微分方程分析 · 数学 2010-10-12 Ayman Kachmar

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…

超导电性 · 物理学 2026-05-18 Jun Goryo