Effects of disorder on the non-zero temperature Mott Transition

TL;DR

This paper investigates how weak disorder affects the Mott transition at finite temperatures, showing that disorder shrinks the coexistence region and alters the transition's nature, aligning with experimental observations.

Contribution

It provides a theoretical analysis of disorder's impact on the Mott transition, including scaling arguments and qualitative scenarios, extending understanding beyond the clean limit.

Findings

Disorder reduces the temperature range of the coexistence region.

Disorder diminishes the size of the coexistence region.

Theoretical scaling arguments reveal similarities and differences from the clean limit.

Abstract

The physics of the metal-insulator coexistence region near the non-zero temperature Mott transition is investigated in presence of weak disorder. We demonstrate that disorder reduces the temperature extent and the general size of the coexistence region, consistent with recent experiments on several Mott systems. We also discuss the qualitative scenario for the disorder-modified Mott transition, and present simple scaling arguments that reveal the similarities to, and the differences from, the clean limit.