Quantitative Determination of the Critical Points of Mott Metal-Insulator Transition in Strongly Correlated Systems

TL;DR

This paper introduces a local quantum state fidelity method within dynamical mean-field theory to accurately identify the critical points of the Mott metal-insulator transition in strongly correlated systems.

Contribution

The study presents a novel application of local quantum state fidelity to determine the Mott transition critical points, offering a unified description of different transition types.

Findings

Fidelity effectively detects the Mott transition critical point.

The method distinguishes between two forms of the Mott transition.

Provides a consistent framework for analyzing Mott transitions.

Abstract

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by using the dynamical mean-field theory and introduce the local quantum state fidelity to depict the Mott metal-insulator transition. The local quantum state fidelity provides a convenient approach for determining the critical point of the Mott transition. Additionally, it presents a consistent description of the two distinct forms of the Mott transition points.