General condition of the Mott transition expressed with the density of state

TL;DR

This paper derives a concise, general formula relating the density of states to the Mott metal-insulator transition, simplifying the analysis of this transition by enabling direct quantitative calculations.

Contribution

The authors present a new, simplified integral formula linking the density of states to the Mott transition within the coherent potential approximation framework.

Findings

Provides a general solution for the MIT condition based on DOS

Enables analytical comparison of different DOS models

Facilitates quantitative assessment of DOS contributions to MIT

Abstract

We have investigated a contribution of the density of state (DOS) to the Mott metal-insulator transition (MIT). The MIT condition is given by the DOS, which usually requires the complicated fundamental equations. To simplify the process, we have derived a general solution of the MIT condition by an integral contains the DOS in the framework of coherent potential approximation. The formula is concise and presents the direct relationship between the MIT condition and the DOS. It is able to calculate the contribution quantitatively and to compare various DOSs analytically.