Phase Diagram of Metal-Insulator Transition in System with Anderson-Hubbard Centers

TL;DR

This paper investigates the phase diagram of a strongly correlated system with Anderson-Hubbard centers, considering electron interactions, hybridization, lattice deformation, and external pressure to understand the metal-insulator transition.

Contribution

It introduces a comprehensive model including hybridization, Coulomb interactions, and lattice effects to analyze the metal-insulator transition in systems with Anderson-Hubbard centers.

Findings

Derived the criterion for metal-insulator transition at integer electron concentration.

Constructed the phase diagram of the metal-insulator transition.

Analyzed the influence of temperature and pressure on the transition.

Abstract

The model of a strongly correlated system in which periodically spaced Anderson-Hubbard centers are introduced into narrow-band metal is considered. Besides the interactions between localized magnetic moments and strong on-site Coulomb interaction, the model takes into account the hybridization of localized and band states. To study the efect of the lattice deformation on the electrical properties of the system the phonon term and elastic energy have been taken into account. Green functions for band and localized electrons have been found. On this base, the energy spectrum has been investigated as function of model parameters, temperature and external pressure. The criterion of metal-insulator transition for integer value of electron concentration has been derived and the phase diagram of the metal-insulator transition has been built.