Abstract
The influence of disorder and pseudogap fluctuations on the Mott insulator-metal transition in strongly correlated systems has been studied in the framework of the generalized dynamic mean field theory (DMFT + Σ approach). Using the results of investigations of the density of states (DOS) and optical conductivity, a phase diagram (disorder-Hubbard interaction-temperature) is constructed for the paramagnetic Anderson-Hubbard model, which allows both the effects of strong electron correlations and the influence of strong disorder to be considered. Strong correlations are described using the DMFT, while a strong disorder is described using a generalized self-consistent theory of localization. The DOS and optical conductivity of the paramagnetic Hubbard model have been studied in a pseudogap state caused by antiferromagnetic spin (or charge) short-range order fluctuations with a finite correlation length, which have been modeled by a static Gaussian random field. The effect of a pseudogap on the Mott insulator-metal transition has been studied. It is established that, in both cases, the static Gaussian random field (related to the disorder or pseudogap fluctuations) leads to suppression of the Mott transition, broadening of the coexistence region of the insulator and metal phases, and an increase in the critical temperature at which the coexistence region disappears.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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, AIP Conf. Proc. 1297, 339 (2010). arXiv:1004.5069.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, JETP Lett. 82(4), 198 (2005). arXiv:condmat//0506215.
M. V. Sadovskii, I. A. Nekrasov, E. Z. Kuchinskii, Th. Prushke, and V. I. Anisimov, Phys. Rev. B: Condens. Matter 72, 155105 (2005). arXiv:condmat/0508585.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Low Temp. Phys. 32(4–5), 398 (2006). arXiv:condmat/0510376.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Phys.-Usp. 55(4), 325 (2012). arXiv:1109.2305.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Phys. Rev. B: Condens. Matter 75, 115102 (2007). arXiv:cond-mat//0609404.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, JETP 106(3), 581 (2008). arXiv:0706.2618.
E. Z. Kuchinskii, N. A. Kuleeva, I. A. Nekrasov, and M. V. Sadovskii, JETP 110(2), 325 (2010). arXiv:0908.3747.
E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Phys. Rev. B: Condens. Matter 80, 115124 (2009). arXiv:0906.3865.
R. Bulla, T. A. Costi, and T. Pruschke, Rev. Mod. Phys. 60, 395 (2008).
P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985); D. Belitz and T. R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994).
N. F. Mott, Proc. Phys. Soc., London, Sect. A 62, 416 (1949); N. F. Mott, Metal Insulator Transitions, 2nd ed. (Taylor and Francis, London, 1990).
P. W. Anderson, Phys. Rev. 109, 1492 (1958).
K. Byczuk, W. Hofstetter, and D. Vollhardt, Phys. Rev. Lett. 94, 056404 (2005).
V. Dobrosavljevi and G. Kotliar, Phys. Rev. Lett. 78, 3943 (1997).
V. Dobrosavljevi, A. A. Pastor, and B. K. Nikoli, Europhys. Lett. 62, 76 (2003).
D. Vollhardt and P. Wölfle, Phys. Rev. B: Condens. Matter 22, 4666 (1980); D. Vollhardt and P. Wölfle, Phys. Rev. Lett. 48, 699 (1982); D. Vollhardt and P. Wölfle, in Anderson Localization, Ed. by Y. Nagaoka and H. Fukuyama, in Springer Series in Solid State Science (Springer-Verlag, Berlin, 1982), p. 26.
M. V. Sadovskii, Sov. Sci. Rev., Sect. A 7, 1 (1986); A. V. Myasnikov, and M. V. Sadovskii, Sov. Phys. Solid State 24 (12), 2033 (1982); E. A. Kotov and M. V. Sadovskii, Z. Phys. B: Condens. Matter 51, 17 (1983).
R. Bulla, Phys. Rev. Lett. 83, 136 (1999); R. Bulla, T. A. Costi, and D. Vollhardt, Phys. Rev. B: Condens. Matter 64, 045103 (2001).
M. V. Sadovskii, Phys.-Usp. 44(5), 515 (2001). arXiv:cond-mat/0102111; M. V. Sadovskii, in Strings, Branes, Lattices, Networks, Pseudogaps, and Dust: Proceedings of the I. E. Tamm Seminar (Nauchnyi Mir, Moscow, 2007), p. 357 [in Russian]. arXiv:condmat/0408489.
J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. Lett. 80, 3839 (1998). arXiv:cond-mat/9804129; J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. B 60, 667 (1999).
E. Z. Kuchinskii and M. V. Sadovskii, JETP 88(5), 968 (1999). arXiv:cond-mat/9808321.
M. V. Sadovskii and N. A. Strigina, JETP 95(3), 526 (2002). arXiv:cond-mat/0203479.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.A. Kuleeva, E.Z. Kuchinskii, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 6, pp. 1192–1201.
Rights and permissions
About this article
Cite this article
Kuleeva, N.A., Kuchinskii, E.Z. Disorder and pseudogap in strongly correlated systems: Phase diagram in the DMFT + Σ approach. J. Exp. Theor. Phys. 116, 1027–1035 (2013). https://doi.org/10.1134/S1063776113060198
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776113060198