Mott transition in the asymmetric Hubbard model at half-filling within dynamical mean-field theory

Abstract

We apply the approximate analytic methods to the investigation of the band structure of the asymmetric Hubbard model where the chemical potentials and electron transfer parameters depend on the electron spin (type of quasiparticles). The Hubbard-I and alloy-analogy approximations are the simplest approximations which are used. Within the alloy-analogy approximation, the energy band of particles does not depend on the transfer parameter of particles of another sort. It means that the gap in the spectrum opens at the critical value $U_c$ that is the same in two different limiting cases: the Falicov-Kimball model and the standard Hubbard model. The approximate analytic scheme of the dynamical mean-field theory is developed to include into the theory the scattering of particles responsible for the additional mechanism (due to the transfer of particles of another sort) of the band formation. We use the so-called GH3 approach that is a generalization of the Hubbard-III approximation. The approach describes the continuous Mott transition with the $U_c$ value dependent on a ratio of transfer parameters of different particles.

arXiv comment10 pages, 10 figures

References in corpus (24)

• First-principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: Dynamical Mean-field Theory
• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Finite temperature numerical renormalization group study of the Mott-transition
• Electronic Ferroelectricity in the Falicov-Kimball Model
• The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
• Novel Mott Transitions in Non-Isotropic Two-Band Hubbard Model
• Orbital-selective Mott transitions in the anisotropic two-band Hubbard model at finite temperatures
• ``Linearized'' Dynamical Mean-Field Theory for the Mott-Hubbard transition
• Absence of hysteresis at the Mott-Hubbard metal-insulator transition in infinite dimensions
• Exact solution of the multi-component Falicov-Kimball model in infinite dimensions
• Mott-Hubbard transition in infinite dimensions
• Phase separation and the segregation principle in the infinite-U spinless Falicov-Kimball model
• Equation of motion approach to the Hubbard model in infinite dimensions
• Dynamical mean-field theory of correlated hopping: A rigorous local approach
• Segregation in the asymmetric Hubbard model
• Decoupling method for dynamical mean field theory calculations
• Critical behaviour near the metal-insulator transition of a doped Mott insulator
• Dynamical Mean-Field Theory and Its Applications to Real Materials
• Analytical and Numerical Treatment of the Mott--Hubbard Insulator in Infinite Dimensions
• F-electron spectral function of the Falicov-Kimball model in infinite dimensions: the half-filled case
• Coexistence of solutions in dynamical mean-field theory of the Mott transition
• Densities of states of the Falicov-Kimball model off half filling in infinite dimensions
• Green's functions of infinite-U asymmetric Hubbard model: Falicov-Kimball limit