Strong Correlations in a nutshell

TL;DR

This paper explores the phase diagrams of small clusters of Anderson impurities, revealing universal behaviors and crossover regions that could influence understanding of the Mott transition in correlated electron systems.

Contribution

It introduces a unified view of phase diagrams for small Anderson impurity clusters, highlighting universal crossover phenomena near critical points.

Findings

Similar phase diagrams across different cluster sizes

Presence of almost critical crossover regions

Implications for Mott transition studies

Abstract

We present the phase diagram of clusters made of two, three and four coupled Anderson impurities. All three clusters share qualitatively similar phase diagrams that include Kondo screened and unscreened regimes separated by almost critical crossover regions reflecting the proximity to barely avoided critical points. This suggests the emergence of universal paradigms that apply to clusters of arbitrary size. We discuss how these crossover regions of the impurity models might affect the approach to the Mott transition within a cluster extension of dynamical mean field theory.