Abstract
We study disorder effects upon the temperature behavior of the upper critical magnetic field in an attractive Hubbard model within the generalized DMFT+Σ approach. We consider the wide range of attraction potentials U—from the weak coupling limit, where superconductivity is described by BCS model, up to the strong coupling limit, where superconducting transition is related to Bose–Einstein condensation (BEC) of compact Cooper pairs, formed at temperatures significantly higher than superconducting transition temperature, as well as the wide range of disorder—from weak to strong, when the system is in the vicinity of Anderson transition. The growth of coupling strength leads to the rapid growth of Hc2(T), especially at low temperatures. In BEC limit and in the region of BCS–BEC crossover Hc2(T), dependence becomes practically linear. Disordering also leads to the general growth of Hc2(T). In BCS limit of weak coupling increasing disorder lead both to the growth of the slope of the upper critical field in the vicinity of the transition point and to the increase of Hc2(T) in the low temperature region. In the limit of strong disorder in the vicinity of the Anderson transition localization corrections lead to the additional growth of Hc2(T) at low temperatures, so that the Hc2(T) dependence becomes concave. In BCS–BEC crossover region and in BEC limit disorder only slightly influences the slope of the upper critical field close to T c . However, in the low temperature region Hc2 (T may significantly grow with disorder in the vicinity of the Anderson transition, where localization corrections notably increase Hc2 (T = 0) also making Hc2(T) dependence concave.
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Published in Russian in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 152, No. 6, pp. 1321–1332.
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Kuchinskii, E.Z., Kuleeva, N.A. & Sadovskii, M.V. Temperature Dependence of the Upper Critical Field in Disordered Hubbard Model with Attraction. J. Exp. Theor. Phys. 125, 1127–1136 (2017). https://doi.org/10.1134/S1063776117120159
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DOI: https://doi.org/10.1134/S1063776117120159