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We consider an extreme type-II superconducting wire with non-smooth cross section, i.e., with one or more corners at the boundary, in the framework of the Ginzburg-Landau theory. We prove the existence of an interval of values of the…

Mathematical Physics · Physics 2017-01-20 M. Correggi , E. L. Giacomelli

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that…

Superconductivity · Physics 2011-08-26 L. Komendová , M. V. Milošević , A. A. Shanenko , F. M. Peeters

The Ginzburg-Landau equations are derived from the microscopic theory for clean layered superconductors with $d_{x^2-y^2}$ pairing symmetry, including the Pauli paramagnetism effect. The upper critical field $H_{c2}$ parallel to the $c$…

Superconductivity · Physics 2009-10-31 D. Tanasković , Z. Radović , L. Dobrosavljević-Grujić

We construct a family of minimal phenomenological models for holographic superconductors in d=4+1 AdS spacetime and study the effect of scalar and gauge field fluctuations. By making a Ginzburg-Landau interpretation of the dual field…

High Energy Physics - Theory · Physics 2015-04-03 Aldo Dector

In this article, we investigate the existence of nematic-superconducting states in the Ginzburg-Landau regime, both analytically and numerically. From the configurations considered, a slab and a cylinder with a circular cross-section, we…

Superconductivity · Physics 2024-01-25 Mariano De Leo , Juan Pablo Borgna , Diego García Ovalle

The dual approach to the Ginzburg-Landau theory of a Bardeen-Cooper-Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic vortices, of arbitrary length and shape, which…

Condensed Matter · Physics 2009-10-28 M. Kiometzis , H. Kleinert , A. M. J. Schakel

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

The magnetic field and temperature dependencies of the magnetic moments of superconducting crystals of ${\rm V_{3}Si}$ have been studied. In a constant magnetic field and at temperatures somewhat below the superconducting transition…

Superconductivity · Physics 2007-05-23 L. L. A. Adams , Klaus Halterman , Oriol T. Valls , A. M. Goldman

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…

Superconductivity · Physics 2016-11-30 I. Petkovic , A. Lollo , L. I. Glazman , J. G. E. Harris

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

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a…

Mathematical Physics · Physics 2019-10-01 Michele Correggi , Nicolas Rougerie

The modified Ginzburg-Landau equations are used to study some fundamental problems for the high temperature superconductors. The derivations of these fundamental equations are summarized and the layered features of the sample were taken…

Superconductivity · Physics 2009-11-10 L. N. Shehata , H. M. Taha

We study theoretically the superconductor diodes, where the magnitude of the critical current changes as the direction is reversed, in terms of a generalized Ginzburg-Landau model with the higher-order terms in the momentum of the order…

Superconductivity · Physics 2024-01-17 James Jun He , Yukio Tanaka , Naoto Nagaosa

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

We discuss the analysis of mixed-state magnetization data of type-II superconductors using a recently developed scaling procedure. It is based on the fact that, if the Ginzburg-Landau parameter kappa does not depend on temperature, the…

Superconductivity · Physics 2015-06-24 I. L. Landau , H. R. Ott

Magnetization studies have been carried out on superconducting MgB$_2$ (T$_c$=37K) in the temperature range of 2-50K and in magnetic field up to 5 Tesla. From these measurements, values of the lower critical field H$_c1$(0), upper critical…

Superconductivity · Physics 2007-05-23 Amish G. Joshi , C. G. S. Pillai , P. Raj , S. K. Malik

We study the phase diagram of spin-triplet superconductors, considering the effect of the external magnetic field on the electrons' spins. For a given symmetry of the order parameter and a generic orientation of the field, we find that the…

Superconductivity · Physics 2025-03-27 Thomas Bernat , Julia S. Meyer , Manuel Houzet

We calculate the specific heat and susceptibility of rare-earth magnetic superconductors in the context of the Ginzburg-Landau theory. The specific heat and susceptibility are calculated both at the coexistence phase of antiferromagnetism…

Superconductivity · Physics 2021-09-30 Preeti Suman Dash , Salila Das , Prabir K. Mukherjee

Unconventional superconductivity with spin-triplet Cooper pairing is reviewed on the basis of the quasi-phenomenological Ginzburg-Landau theory. The superconductivity, in particular, the mixed phase of coexistence of ferromagnetism and…

Superconductivity · Physics 2007-05-23 Diana V. Shopova , Tsvetomir E. Tsvetkov , Dimo I. Uzunov

We study the gauge field fluctuations in dense quark matter and determine the temperature of the induced first-order phase transition to the color-superconducting phase in weak coupling. We find that the local approximation of the coupling…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ioannis Giannakis , Defu Hou , Hai-cang Ren , Dirk H. Rischke
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