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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| Published in: | Физика низких температур |
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| Date: | 2017 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/129350 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593081180684288 |
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| author | Kuchinskii, E.Z. Kuleeva, N.A. Sadovskii, M.V. |
| author_facet | Kuchinskii, E.Z. Kuleeva, N.A. Sadovskii, M.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-11-27T09:26:59Z |
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| id | nasplib_isofts_kiev_ua-123456789-129350 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-27T09:26:59Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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| spelling | Kuchinskii, E.Z. Kuleeva, N.A. Sadovskii, M.V. 2018-01-19T13:50:52Z 2018-01-19T13:50:52Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/129350 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. This work was supported by RSF grant 14-12-00502. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К 100-летию со дня рождения И.М. Лифшица Ginzburg–Landau expansion in BCS–BEC crossover region of disordered attractive Hubbard model Article published earlier |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | К 100-летию со дня рождения И.М. Лифшица |
| topic_facet | К 100-летию со дня рождения И.М. Лифшица |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/129350 |
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