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The review is devoted to the detailed description of the fluctuation phenomena in superconductors. Developing phenomenological methods through the first five sections we deal with the direct fluctuation pair contributions only. The indirect…

Superconductivity · Physics 2007-05-23 A. I. Larkin , A. A. Varlamov

In this article the Ginzburg-Landau theory ideas are considered in their application to the description of fluctuations influence on the superfluid density in superconductor. The conclusion about the availability of two incompatible…

Superconductivity · Physics 2009-10-20 Iogann Tolbatov

Recent measurements of fluctuation diamagnetism in high temperature superconductors show distinct features above and below Tc, which can not be explained by simple gaussian fluctuation theory. Self consistent calculation of magnetization in…

Superconductivity · Physics 2015-06-16 Xujiang Jiang , Dingping Li , Baruch Rosenstein

A theory of fluctuations in two-band superconductor MgB$_{2}$ is developed. Since the standard Ginzburg-Landau (GL) approach fails in description of its properties, we generalize it basing on the microscopic theory of a two-band…

Superconductivity · Physics 2009-11-10 A. E. Koshelev , A. A. Varlamov , V. M. Vinokur

A detailed theoretical analysis of the Gaussian fluctuations of the order parameter in layered superconductors is performed within the Ginzburg-Landau (GL) theory. The available results for the Gaussian fluctuations are systematized and a…

Superconductivity · Physics 2009-10-31 Todor Mishonov , Evgeni Penev

We calculate thermal fluctuation properties: volume-averaged order parameter, Helmholtz free and internal energies, and their variances of a supersaturated disordered phase in the Gibbs canonical ensemble for an asymmetric (third-order…

Statistical Mechanics · Physics 2016-04-07 Dimo I. Uzunov , A. Umantsev

In this paper we consider a superconducting film modeled by the Ginzburg-Landau model, confined between two parallel planes a distance $L$ apart from one another. Our approach is based on the Gaussian effective potential in the transverse…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , I. Roditi

We consider the Ginzburg-Landau model, confined in an infinitely long rectangular wire of cross-section $L_{1}\times L_{2}$. Our approach is based on the Gaussian effective potential in the transverse unitarity gauge, which allows to treat…

Superconductivity · Physics 2015-06-25 A. P. C. Malbouisson , Y. W. Milla , I. Roditi

The Ginzburg--Landau approach postulates an energy density, together with an interpretation for the supercurrent, and invokes Ohm's law. We consider quasi-one-dimensional nonuniform superconducting loops, either smooth or piecewise uniform,…

Statistical Mechanics · Physics 2024-01-05 Jorge Berger

A theory of critical fluctuations in extreme type-II superconductors subjected to a finite but weak external magnetic field is presented. It is shown that the standard Ginzburg-Landau representation of this problem can be recast, with help…

Condensed Matter · Physics 2009-10-31 Zlatko Tesanovic

A Ginzburg-Landau approach to fluctuations of a layered superconductor in a magnetic field is used to show that the interlayer coupling can be incorporated within an interacting self-consistent theory of a single layer, in the limit of a…

Superconductivity · Physics 2010-07-19 James M. Murray , Zlatko Tesanovic

We review recent work on a continuum, classical theory of thermal fluctuations in two dimensional superconductors. A functional integral over a Ginzburg-Landau free energy describes the amplitude and phase fluctuations responsible for the…

Superconductivity · Physics 2007-05-23 Subir Sachdev

Within the Ginzburg-Landau functional framework for the superconducting transition, we analyze the fluctuation-driven shift of the critical temperature. In addition to the order parameter fluctuations, we also take into account the…

Superconductivity · Physics 2020-06-11 Alberto Cappellaro , Luca Salasnich

We study the behaviour of a superconductor in a weak static gravitational field for temperatures slightly greater than its transition temperature (fluctuation regime). Making use of the time-dependent Ginzburg-Landau equations, we find a…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Giovanni Alberto Ummarino , Antonio Gallerati

We consider a topologically massive Ginzburg-Landau model of superconductivity. In the context of a mean field calculation, we show that there is an increase in the critical temperature driven by the topological term. It is shown that this…

Condensed Matter · Physics 2007-05-23 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

We evaluate the influence of thermal fluctuations on superconducting rings that enclose a magnetic flux, using the time-dependent Ginzburg--Landau (TDGL) or the Kramer--Watts-Tobin (KWT) model, while thermal fluctuations are accounted for…

Superconductivity · Physics 2011-05-18 Jorge Berger

We extend recent low temperature analyses of competing orders in the cuprate superconductors to the pseudogap regime where all orders are fluctuating. A universal continuum limit of a classical Ginzburg-Landau functional is used to…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Eugene Demler

A systematic treatment of the magnetic fluctuations effect on the properties of the normal-to-superconducting phase transition in a zero external magnetic field is given within the self-consistent approximation and the quasi-macroscopic…

Superconductivity · Physics 2007-05-23 D. V. Shopova , T. P. Todorov

We develop an optimized perturbation theory for the Ginzburg - Landau description of thermal fluctuations effects in the vortex liquids. Unlike the high temperature expansion which is asymptotic, the optimized expansion is convergent.…

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

Theory of the influence of the thermal fluctuations on the electric transport beyond linear response in superconductors is developed within the framework of the time dependent Ginzburg - Landau approach. The I - V curve is calculated using…

Superconductivity · Physics 2017-09-07 Lei Qiao , Dingping Li , Baruch Rosenstein
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