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The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations - the Maxwell equation for the vector potential,…

Superconductivity · Physics 2009-11-07 Pavel Lipavsky , Jan Kolacek , Klaus Morawetz , Ernst Helmut Brandt

An interpretation of the quadratic parameter of the Ginzburg-Landau theory of superconductivity is presented in this paper. The negative term in the potential, which allows the spontaneous symmetry breaking, is interpreted as a direct…

Superconductivity · Physics 2014-07-15 Miguel C. N. Fiolhais , Joseph L. Birman

At high magnetic fields and low temperatures, numerous extreme type-II superconductors exhibit Landau quantization of electronic motion. We present an analytic construction of the quasiparticle spectrum in this regime, based on the…

Superconductivity · Physics 2007-05-23 Zlatko Tesanovic , Pedro D. Sacramento

At high magnetic field, the semiclassical approximation which underlies the Ginzburg-Landau (GL) theory of the mixed state of type II superconductors breaks down. In a quasi-1D superconductor (weakly coupled chains system) with an {\it open…

Condensed Matter · Physics 2009-10-22 N. Dupuis

This article contains a digest of the theory of electromagnetism and a review of the transformation between inertial frames, especially under low speed limits. The covariant nature of the Maxwell's equations is explained using the…

Classical Physics · Physics 2022-05-03 Hao Chen , Wei E. I. Sha , Xi Dai , Yue Yu

We consider the interaction between the Earth's gravitational field and a superconductor in the fluctuation regime. Exploiting the weak field expansion formalism and using time dependent Ginzburg-Landau formulation, we show a possible…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Antonio Gallerati

In diluted magnetic semiconductors, the carrier concentration and the magnetization of local moments are strongly coupled, since the magnetic interaction is mediated by the carriers. It is predicted that this coupling leads to an electric…

Materials Science · Physics 2009-11-11 Carsten Timm

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 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

Starting from the Ginzburg--Landau model in a planar simply connected domain, with a local compactly supported applied magnetic field, we derive an effective model in the strong field limit, defined on a non-simply connected domain. The…

Analysis of PDEs · Mathematics 2026-04-24 Ayman Kachmar , Mikael Sundqvist

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval

This work investigates the influence of low temperature and broadened Landau levels on the thermodynamic properties of two-dimensional electron systems. The interplay between these two physical parameters on the magnetic field dependence of…

Mesoscale and Nanoscale Physics · Physics 2008-05-28 Rayda Gammag , Cristine Villagonzalo

The classical Landau--Lifshitz equation -- the simplest model of a ferromagnet -- provides an archetypal example for studying transport phenomena. In one-spatial dimension, integrability enables the classification of the spectrum of linear…

Statistical Mechanics · Physics 2024-09-06 Alvise Bastianello , Žiga Krajnik , Enej Ilievski

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Starting from the Bardeen-Cooper-Schrieffer (BCS) free energy functional, we derive the Ginzburg-Landau functional in the presence of a weak homogeneous magnetic field. We also provide an asymptotic formula for the BCS critical temperature…

Mathematical Physics · Physics 2023-08-17 Andreas Deuchert , Christian Hainzl , Marcel Maier

We investigate the effects of Lifshitz dynamical critical exponent z on a family of minimal D=4+1 holographic superconducting models, with a particular focus on magnetic phenomena. We see that it is possible to have a consistent…

High Energy Physics - Theory · Physics 2015-12-09 Aldo Dector

Higher than the lowest Landau level contributions to magnetization and specific heat of superconductors are calculated using Ginzburg - Landau equations approach. Corrections to the excitation spectrum around solution of these equations…

Superconductivity · Physics 2009-10-31 Dingping Li , Baruch Rosenstein

We numerically investigate the phenomenological nonlocal Ginzburg-Landau Hamiltonian for two-dimensional superconductors in a strong magnetic field by Langevin equation. We obtain a regular vortex lattice which is very near to the square…

Superconductivity · Physics 2009-10-30 Ayumi Fujita

By applying a magnetic field perpendicular to GaAs/AlGaAs two-dimensional electron systems, we study the low-field Landau quantization when the thermal damping is reduced with decreasing the temperature. Magneto-oscillations following…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jing-Han Chen , D. R. Hang , C. F. Huang , Tsai-Yu Huang , Jyun-Ying Lin , S. H. Lo , J. C. Hsiao , Ming-Gu Lin , M. Y. Simmons , D. A. Ritchie , C. -T. Liang

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur