Universal quantum criticality at the Mott-Anderson transition

TL;DR

This paper presents a large N solution to a microscopic model of the Mott-Anderson transition, revealing universal quantum critical behavior influenced by spatial fluctuations and Anderson localization effects.

Contribution

It introduces a comprehensive model showing how spatial fluctuations modify quantum criticality at the Mott-Anderson transition, highlighting a universal form of quasiparticle wavefunctions.

Findings

Universal form of quasiparticle wavefunctions across disorder regimes

Strong spatial fluctuations alter quantum critical behavior

Disorder-driven non-Fermi liquid behavior appears only in strongly correlated regime

Abstract

We present a large N solution of a microscopic model describing the Mott-Anderson transition on a finite-coordination Bethe lattice. Our results demonstrate that strong spatial fluctuations, due to Anderson localization effects, dramatically modify the quantum critical behavior near disordered Mott transitions. The leading critical behavior of quasiparticle wavefunctions is shown to assume a universal form in the full range from weak to strong disorder, in contrast to disorder-driven non-Fermi liquid ("electronic Griffiths phase") behavior, which is found only in the strongly correlated regime.