Abstract
We present a brief review of our studies of disorder influence upon Ginzburg-Landau expansion coefficients in Anderson-Hubbard model with attraction in the framework of the generalized DMFT + Σ approximation. A wide range of attractive potentials U is considered from weak coupling limit, where superconductivity is described by BCS model, to the limit of very strong coupling, where superconducting transition is related to the Bose-Einstein condensation of compact Cooper pairs, which are formed at temperatures significantly higher than the superconducting transition temperature, as well as the wide range of disorders from weak to strong, when the system is in the vicinity of Anderson transition. For the same range of parameters we study in detail the temperature behavior of orbital and paramagnetic upper critical field Hc2(T), which demonstrates the anomalies due both to the growth of attractive potential and to the effects of strong disordering.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 9, 220 (1959).
A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 9, 1090 (1959).
L. P. Gor’kov, Sov. Phys. JETP 36, 1364 (1959).
A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 12, 1243 (1961).
P. W. Anderson, J. Phys. Chem. Solids 11, 26 (1959).
P. G. de Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, New York, 1966).
L. N. Bulaevskii and M. V. Sadovskii, JETP Lett. 39, 640 (1984).
L. N. Bulaevskii and M. V. Sadovskii, J. Low. Temp. Phys. 59, 89 (1985).
M. V. Sadovskii, Phys. Rep. 282, 226 (1997).
M. V. Sadovskii, Superconductivity and Localization (World Scientific, Singapore, 2000).
P. Nozieres and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
Th. Pruschke, M. Jarrell, and J. K. Freericks, Adv. Phys. 44, 187 (1995).
A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
D. Vollhardt, in Lectures on the Physics of Strongly Correlated Systems XIV, Ed. by A. Avella and F. Mancini, AIP Conf. Proc. 1297, 339 (2010); arXiV: 1004.5069.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, JETP Lett. 82, 198 (2005).
M. V. Sadovskii, I. A. Nekrasov, E. Z. Kuchinskii, Th. Prushke, and V. I. Anisimov, Phys. Rev. B 72, 155105 (2005).
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Low Temp. Phys. 32, 398 (2006).
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Phys. Rev. B 75, 115102 (2007).
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, J. Exp. Theor. Phys. 106, 581 (2008).
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Phys. Usp. 53, 325 (2012).
E. Z. Kuchinskii and M. V. Sadovskii, J. Exp. Theor. Phys. 122, 509 (2016).
N. A. Kuleeva, E. Z. Kuchinskii, and M. V. Sadovskii, J. Exp. Theor. Phys. 119, 264 (2014).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, JETP Lett. 100, 192 (2014).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, J. Exp. Theor. Phys. 120, 1055 (2015).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, J. Exp. Theor. Phys. 122, 375 (2016)].
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, Low Temp. Phys. 42, 17 (2017).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, J. Exp. Theor. Phys. 125, 111 (2017).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, J. Exp. Theor. Phys. 125, 1127 (2017).
E. Z. Kuchinskii, N. A. Kuleeva, and M. V. Sadovskii, J. Exp. Theor. Phys. 127, 753 (2018).
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics (Pergamon, Oxford, 1965).
M. V. Sadovskii, Diagrammatics (World Scientific, Singapore, 2019).
R. Bulla, T. A. Costi, and T. Pruschke, Rev. Mod. Phys. 60, 395 (2008).
D. Vollhardt and P. Wölfle, Phys. Rev. B 22, 4666 (1980).
D. Vollhardt and P. Wölfle, Phys. Rev. Lett. 48, 699 (1982).
P. Wölfle and D. Vollhardt, in Anderson Localization, Ed. by Y. Nagaoka and H. Fukuyama, Springer Ser. Solid State Sci. 39, 26 (1982).
A. V. Myasnikov and M. V. Sadovskii, Sov. Phys.-Solid State 24, 2033 (1982).
E. A. Kotov and M. V. Sadovskii, Zs. Phys. B 51, 17 (1983).
M. V. Sadovskii, in Soviet Scientific Reviews — Physics Reviews, Ed. by I. M. Khalatnikov (Harwood Academic, New York, 1986), Vol. 7, p. 1.
D. Vollhardt and P. Wölfle, in Electronic Phase Transitions, Ed. by W. Hanke and Yu. V. Kopaev (North-Holland, Amsterdam, 1992), Vol. 32, p. 1.
N. R. Werthamer and E. Helfand, Phys. Rev. 147, 288 (1966).
N. R. Werthamer, E. Helfand, and P. C. Hohenberg, Phys. Rev. 147, 295 (1966).
E. M. Lifshits and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 9: Statistical Physics, Part 2 (Nauka, Moscow, 1978; Pergamon, New York, 1980), Chap. 5.
E. Z. Kuchinskii and M. V. Sadovskii, Sverkhprovodim., Fiz., Khim., Tekh. 4, 2278 (1991).
E. Z. Kuchinskii and M. V. Sadovskii, Phys. C (Amsterdam, Neth.) 185–189, 1477 (1991).
P. Fulde and R. A. Ferrell, Phys. Rev. A 135, 550 (1964).
A. I. Larkin and Yu. N. Ovchinnikov, Sov. Phys. JETP 20, 762 (1964).
D. Saint-James, G. Sarma, and E. J. Thomas, Type II Superconductivity (Pergamon, Oxford, 1969).
L. N. Bulaevskii and M. V. Sadovskii, JETP Lett. 43, 99 (1986).
L. N. Bulaevskii, S. V. Panyukov, and M. V. Sadovskii, Sov. Phys. JETP 65, 380 (1987).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 9, pp. 603–616.
Funding
This work was supported in part by the Russian Foundation for Basic Research, project no. 20-02-00011.
Rights and permissions
About this article
Cite this article
Kuleeva, N.A., Kuchinskii, E.Z. & Sadovskii, M.V. Ginzburg-Landau Expansion and the Upper Critical Field in the Disordered Attractive Hubbard Model (Brief Review). Jetp Lett. 112, 555–567 (2020). https://doi.org/10.1134/S002136402021002X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002136402021002X