Abstract
The pseudospin-electron model with tunneling splitting of levels is considered. Generalization of dynamic mean-field method for systems with correlated hopping was applied to the investigation of the model. Electron spectra, electron concentrations, average values of pseudospins and grand canonical potential were calculated within the alloy-analogy approximation. Electron spectrum and dependencies of the electron concentrations on chemical potential were obtained. It was shown that in the alloy-analogy approximation, the model possesses the first order phase transition to ferromagnetic state with the change of chemical potential and the second order phase transition with the change of temperature.
Highlights
One of the main models for describing strongly correlated electron systems is the Hubbard model and its extensions and modifications
This paper presents investigation of the pseudospin-electron model (PEM) with tunneling splitting of the levels without direct pseudospin-pseudospin interaction
It is shown that correlated hopping formalism is useful in investigating the systems with transverse field
Summary
One of the main models for describing strongly correlated electron systems is the Hubbard model and its extensions and modifications. It is supposed that interaction of electrons with lattice vibrations is important in describing high-temperature superconductors [1] and proton-electron interaction in molecular and crystalline systems with hydrogen bonds [2] Since anharmonicity in such systems is principally local, it can be considered by using pseudospin formalism. In the case of direct pseudospin-pseudospin interaction, PEM is investigated mainly within the mean field approximation (MFA) [3] and the transfer matrixes formalism [4]. PEM without direct pseudospin-pseudospin is investigated using generalized random phase approximation (GRPA) [9] and dynamic mean-field theory (DMFT) [10]. Different aspects of a possible ferromagnetism in PEM model were analyzed
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