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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

M. Tinkham and P. G. de Gennes, described in their books the existence of an intermediate type-I superconductor as a consequence of an external surface that affects the well known classification of superconductors into type-I and II. Here…

We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify…

偏微分方程分析 · 数学 2009-11-13 V. Bonnaillie-Noël , S. Fournais

Using a linear analysis, we study the stability of giant-vortex states in very thin disks. The vortex expulsion and penetration fields are obtained for finite thickness disks from a numerical solution of the non-linear Ginzburg-Landau (GL)…

介观与纳米尺度物理 · 物理学 2016-08-31 V. A. Schweigert , F. M. Peeters

Basing on self-consistent solution of non-linear GL-equations, the phase boundary is found, which divides the regions of I- and II-order phase transitions of a superconducting cylinder in magnetic field to normal state. This boundary is a…

超导电性 · 物理学 2007-05-23 G. F. Zharkov

This paper serves as a primer on superconductivity, inviting students for further investigation. Although the theory of superconductivity is a many-body quantum theory, here we take a more didactic route based on thermodynamics and…

超导电性 · 物理学 2024-05-22 David Möckli , Murilo Kessler de Azambuja

The properties of one-dimensional superconductors are strongly influenced by topological fluctuations of the order parameter, known as phase slips, which cause the decay of persistent current in superconducting rings and the appearance of…

超导电性 · 物理学 2016-11-30 I. Petkovic , A. Lollo , L. I. Glazman , J. G. E. Harris

A procedure to derive the Ginzburg-Landau (GL) theory from the multiband BCS Hamiltonian is developed in a general case with an arbitrary number of bands and arbitrary interaction matrix. It combines the standard Gor'kov truncation and a…

超导电性 · 物理学 2013-04-19 N. V. Orlova , A. A. Shanenko , M. V. Milošević , F. M. Peeters , A. Vagov , V. M. Axt

The vortex states in a thin mesoscopic disk are investigated within the phenomenological Ginzburg-Landau theory in the presence of a step-like external magnetic field with zero average which could model the field resulting from a…

超导电性 · 物理学 2009-11-07 M. V. Milosevic , S. V. Yampolskii , F. M. Peeters

We investigate the behavior of a mesoscopic one-dimensional ring in an external magnetic field by simulating the time dependent Ginzburg-Landau equations with periodic boundary conditions. We analyze the stability and the different possible…

超导电性 · 物理学 2009-07-15 Mathieu Lu-Dac , V. V. Kabanov

Within a Ginzburg-Landau formalism we establish analytically the necessary and sufficient conditions to realize a doubly degenerate superconducting ground state with broken time-reversal symmetry (BTRS) in a multi-band superconductor. Using…

超导电性 · 物理学 2017-12-05 Y. Yerin , A. Omelyanchouk , S. -L. Drechsler , D. V. Efremov , J. van den Brink

Applying the time-dependent Ginzburg-Landau equations, transitions between metastable states of a superconducting ring are investigated in the presence of an external magnetic field. It is shown that if the ring exhibits several metastable…

超导电性 · 物理学 2009-11-07 D. Y. Vodolazov , F. M. Peeters

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We study the properties of the phase transition in three dimensional U(1)+Higgs theory or Ginzburg-Landau model of superconductivity. Special attention is paid to large values of scalar self coupling (Type II superconductors), where the…

高能物理 - 格点 · 物理学 2007-05-23 J. Peisa

The new approach to the microscopic description of the phase transitions starting from the only first principles was developed on an example of the transition normal metal-superconductor. This means mathematically, that the free energy is…

统计力学 · 物理学 2011-09-19 K. V. Grigorishin , B. I. Lev

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

数学物理 · 物理学 2007-05-23 Vittorino Talamini

We study the surface barrier for magnetic field penetration in mesoscopic samples of both type I and type II superconductors. Our results are obtained from numerical simulations of the time-dependent Ginzburg-Landau equations. We calculate…

超导电性 · 物理学 2012-02-15 Alexander D. Hernandez , Daniel Dominguez

The vortex state of mesoscopic three-dimensional superconductors is determined using a minimization procedure of the Ginzburg-Landau free energy. We obtain the vortex pattern for a mesoscopic superconducting sphere and find that vortex…

超导电性 · 物理学 2007-12-27 Mauro M. Doria , Antonio R. de C. Romaguera , F. M. Peeters

We succeed to build up a straightforward theoretical model for spin-triplet p-wave superconductors by introducing in Ginzburg-Landau theory a second order parameter and a suitable interaction between the two mean fields.

超导电性 · 物理学 2008-11-26 E. Di Grezia , S. Esposito , G. Salesi

Surface states of d_{x^2-y^2}-wave superconductors are studied using the Ginzburg-Landau (GL) theory. For a [110] surface it has been known that the time-reversal symmetry (T) breaking surface state, (d+-is)-wave state, can occur if the…

超导电性 · 物理学 2008-09-30 Takeshi Tomizawa , Kazuhiro Kuboki