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Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model

Vernadsky National Library of Ukraine

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Title Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
 
Creator Kuchinskii, E.Z.
Kuleeva, N.A.
Sadovskii, M.V.
 
Subject К 100-летию со дня рождения И.М. Лифшица
 
Description We have studied disorder effects on the coefficients of Ginzburg-Landau expansion for attractive Hubbard model within the generalized DMFT+Σ approximation for the wide region of the values of attractive potential U—from the weak-coupling limit, where superconductivity is described by BCS model, towards the strong coupling, where superconducting transition is related to Bose-Einstein condensation (BEC) of compact Cooper pairs. For the case of semi-elliptic initial density of states disorder influence on the coefficients A and B before the square and the fourth power of the order parameter is universal for at all values of electronic correlations and is related only to the widening of the initial conduction band (density of states) by disorder. Similar universal behavior is valid for superconducting critical temperature Tc (the generalized Anderson theorem) and specific heat discontinuity at the transition. This universality is absent for the coefficient C before the gradient term, which in accordance with the standard theory of “dirty” superconductors is strongly suppressed by disorder in the weak-coupling region, but can slightly grow in BCS–BEC crossover region, becoming almost independent of disorder in the strong coupling region. This leads to rather weak disorder dependence of the penetration depth and coherence length, as well as the slope of the upper critical magnetic field at Tc, in BCS–BEC crossover and strong coupling regions.
 
Date 2018-01-19T13:50:52Z
2018-01-19T13:50:52Z
2017
 
Type Article
 
Identifier Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model / E.Z. Kuchinskii, N.A. Kuleeva, M.V. Sadovskii // Физика низких температур. — 2016. — Т. 43, № 1. — С. 22-32. — Бібліогр.: 38 назв. — англ.
0132-6414
PACS: 71.10.Fd, 74.20.–z, 74.20.Mn
http://dspace.nbuv.gov.ua/handle/123456789/129350
 
Language en
 
Relation Физика низких температур
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України