Abstract
By on the analyzing the general structure of the Green function of a strongly correlated electron system, it is shown that, for the regime of strong correlations, Luttinger’s theorem should be generalized in the following way: the volume of the Fermi surface of the system of noninteracting particles is equal to that of the quasiparticles in the strongly correlated system with due regard for the spectral weight of the quasiparticles. An investigation of the t-J model and of the Hubbard model, as applied to the paramagnetic nonsuperconducting phase, shows that the generalized Luttinger theorem is valid for these models.
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References
J. M. Luttinger, Phys. Rev. 119(4), 1153 (1960).
M. Oshikawa, Phys. Rev. Lett. 84(15), 3370 (2000).
W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62(3), 324 (1989).
X. Y. Zhang, M. J. Rozenberg, and G. Kotliar, Phys. Rev. Lett. 70, 1666 (1993).
A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68(1), 13 (1996).
D. M. Edwards and J. A. Hertz, Physica B (Amsterdam) 163, 527 (1990).
Th. A. Maier, Th. Pruschke, and M. Jarrell, Phys. Rev. B 66(7), 075102 (2002).
Yu. A. Izyumov, Usp. Fiz. Nauk 165(4), 403 (1995) [Phys. Usp. 38, 385 (1995)].
J. Schmalian, M. Langer, S. Grabowski, and K. N. Bennemann, Phys. Rev. B 54(6), 4336 (1996).
J. Beenen and D. M. Edwards, Phys. Rev. B 52(18), 13636 (1995).
J. C. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
J. C. Hubbard, Proc. R. Soc. London, Ser. A 277, 237 (1964).
V. V. Val’kov and S. G. Ovchinnikov, Quasiparticles in Strongly Correlated Systems (Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2001).
V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green’s Functions in the Theory of Magnetism (Naukova Dumka, Kiev, 1984).
R. O. Zaitsev, Zh. Éksp. Teor. Fiz. 70(3), 1100 (1976) [Sov. Phys. JETP 43, 574 (1976)].
W. Nolting, Z. Phys. B: Condens. Matter 255, 25 (1972).
T. Herrmann and W. Nolting, J. Magn. Magn. Mater. 170, 253 (1997).
C. Grober, R. Eder, and W. Hanke, Phys. Rev. B 62(7), 4336 (2000).
Yu. A. Izyumov and Yu. N. Skryabin, Basic Models in the Quantum Theory of Magnetism (Ural. Otd. Ross. Akad. Nauk, Yekaterinburg, 2002).
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Translated from Fizika Tverdogo Tela, Vol. 45, No. 8, 2003, pp. 1351–1357.
Original Russian Text Copyright © 2003 by Korshunov, Ovchinnikov.
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Korshunov, M.M., Ovchinnikov, S.G. Generalization of Luttinger’s theorem for strongly correlated electron systems. Phys. Solid State 45, 1415–1422 (2003). https://doi.org/10.1134/1.1602872
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DOI: https://doi.org/10.1134/1.1602872