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The electron energy spectrum and superconducting transition temperature of strongly correlated fermions with three-center interactions

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Abstract

The renormalizations of the fermionic spectrum are considered within the framework of the t-J* model taking into account three-center interactions (H (3)) and magnetic fluctuations. Self-consistent spin dynamics equations for strongly correlated fermions with three-center interactions were obtained to calculate quasi-spin correlators. A numerical self-consistent solution to a system of ten equations was obtained to show that, in the nearest-neighbor approximation, simultaneously including H (3) and magnetic fluctuations at n>n 1 (n 1 ≈ 0.72 for 2t/U = 0.25) caused qualitative changes in the structure of the energy spectrum. A new Van Hove singularity is then induced in the density of states, and an additional maximum appears in the T c(n) concentration dependence of the temperature of the transition to the superconducting phase with order parameter symmetry of the d x 2−y 2 type.

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Authors and Affiliations

  1. Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia

    V. V. Val’kov & D. M. Dzebisashvili

  2. Krasnoyarsk State Technical University, Krasnoyarsk, 660074, Russia

    V. V. Val’kov

  3. Krasnoyarsk State University, Krasnoyarsk, 660075, Russia

    V. V. Val’kov & D. M. Dzebisashvili

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  1. V. V. Val’kov
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  2. D. M. Dzebisashvili
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 127, No. 3, 2005, pp. 686–695.

Original Russian Text Copyright © 2005 by Val’kov, Dzebisashvili.

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Val’kov, V.V., Dzebisashvili, D.M. The electron energy spectrum and superconducting transition temperature of strongly correlated fermions with three-center interactions. J. Exp. Theor. Phys. 100, 608–616 (2005). https://doi.org/10.1134/1.1901772

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