Metal-Insulator Transition in a Generalized Hubbard Model with Correlated Hopping at Half-Filling

TL;DR

This paper investigates the metal-insulator transition in a generalized Hubbard model with correlated hopping at half-filling, deriving conditions for different electronic phases based on energy spectrum and state concentrations.

Contribution

It introduces a generalized Hubbard model with correlated hopping and provides analytical expressions for energy gaps and state concentrations at zero temperature.

Findings

Conditions for metallic and insulating states are established.

Expressions for energy gap width and polar state concentration are derived.

The model extends understanding of electron correlations in transition phenomena.

Abstract

In the present paper metal-insulator transition is studied in a generalized Hubbard model with correlated hopping at half-filling and zero temperature. Single-particle Green function and energy spectrum of electron system are calculated. The expressions for energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.