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

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

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, towa...

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Main Authors: Kuchinskii, E.Z., Kuleeva, N.A., Sadovskii, M.V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
Series:Физика низких температур
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К 100-летию со дня рождения И.М. Лифшица
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/129350
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spelling irk-123456789-1293502018-01-20T03:05:51Z Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model Kuchinskii, E.Z. Kuleeva, N.A. Sadovskii, M.V. К 100-летию со дня рождения И.М. Лифшица 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. 2017 Article 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 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic К 100-летию со дня рождения И.М. Лифшица
К 100-летию со дня рождения И.М. Лифшица
spellingShingle К 100-летию со дня рождения И.М. Лифшица
К 100-летию со дня рождения И.М. Лифшица
Kuchinskii, E.Z.
Kuleeva, N.A.
Sadovskii, M.V.
Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
Физика низких температур
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.
format Article
author Kuchinskii, E.Z.
Kuleeva, N.A.
Sadovskii, M.V.
author_facet Kuchinskii, E.Z.
Kuleeva, N.A.
Sadovskii, M.V.
author_sort Kuchinskii, E.Z.
title Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
title_short Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
title_full Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
title_fullStr Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
title_full_unstemmed Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model
title_sort ginzburg–landau expansion in bcs–bec crossover region of disordered attractive hubbard model
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2017
topic_facet К 100-летию со дня рождения И.М. Лифшица
url http://dspace.nbuv.gov.ua/handle/123456789/129350
citation_txt 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.
series Физика низких температур
work_keys_str_mv AT kuchinskiiez ginzburglandauexpansioninbcsbeccrossoverregionofdisorderedattractivehubbardmodel
AT kuleevana ginzburglandauexpansioninbcsbeccrossoverregionofdisorderedattractivehubbardmodel
AT sadovskiimv ginzburglandauexpansioninbcsbeccrossoverregionofdisorderedattractivehubbardmodel
first_indexed 2023-10-18T20:57:32Z
last_indexed 2023-10-18T20:57:32Z
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