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We use the Ginzburg-Landau theory near the transition temperature in order to examine the behavior of an inhomogeneous superconductor in the presence of a magnetic field. We find that a transition from type I to type II superconductivity…

Superconductivity · Physics 2009-11-11 Ioannis Giannakis , Defu Hou , Mei Huang , Hai-cang Ren

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

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

The Ginzburg-Landau-Wilson theory that describes the disordered Fermi liquid - d-wave superconductor phase transition at zero temperature is derived at weak coupling. The theory represents an interacting dissipative system of bosonic Cooper…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

We investigate the influence of order parameter fluctuations on the transition between normal and mixed superconducting states at low temperatures. We show that in case of clean quasi-two-dimensional superconductors the transition can be…

Superconductivity · Physics 2009-10-31 A. Lopatin , G. Kotliar

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

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

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

The phase transition of the electroweak vacuum induced by a strong magnetic field is examined, and a connection is made with the Ginzburg-Landau theory of type-II superconductivity. For solutions of the exact nonlinear field equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ola Tornkvist

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

We develop a theory for the vortex unbinding transition in homogeneously disordered superconducting films. This theory incorporates the effects of quantum, mesoscopic and thermal fluctuations stemming from length scales ranging from the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 E. J. König , A. Levchenko , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

Fluctuation behavior of high temperature superconductors in high magnetic field is studied within the Ginzburg-Landau theory. Landau level degeneracy of Cooper pairs enhances fluctuations which destroy the familiar Abrikosov vortex lattice…

Condensed Matter · Physics 2007-05-23 Zlatko Tesanovic

Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the…

Quantum Gases · Physics 2019-02-20 M. Faccioli , L. Salasnich

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

In these lectures, superconductivity in impure thin films close to the absolute zero of temperature is discussed. The behavior as function of the applied magnetic field and the amount of impurities suggests the presence of a…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

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

By using a Ginzburg-Landau functional in the Gaussian approximation, we calculate the energy of superconducting fluctuations above the transition, at zero external magnetic field, of a system composed by a small number $N$ of parallel…

Superconductivity · Physics 2024-12-25 A. S. Viz , M. M. Botana , J. C. Verde , M. V. Ramallo

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…

Statistical Mechanics · Physics 2011-09-19 K. V. Grigorishin , B. I. Lev

The concept of the transition of type II superconductor into the Abrikosov state as the appearance of long-range phase coherence is considered. It is shown that this transition should be first order in ideal (without disorder)…

Superconductivity · Physics 2007-05-23 A. V. Nikulov

Novel vortex phase and nature of double transition field are investigated by two-component Ginzburg-Landau theory in a situation where fourfold-twofold symmetric superconducting double transition occurs. The deformation from 60 degree…

Superconductivity · Physics 2007-08-01 Yasushi Matsunaga , Masanori Ichioka , Kazushige Machida
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