One-Dimensional Multi-Band Correlated Conductors and Anderson Impurity Physics

TL;DR

This paper investigates the phase diagram of a one-dimensional multi-band correlated conductor with an Anderson impurity, revealing how reduced dimensionality alters phase transitions and pairing phenomena compared to higher dimensions.

Contribution

It extends the understanding of Anderson impurity physics to one dimension, highlighting the differences in phase behavior and fluctuations from the infinite-dimensional case.

Findings

Mott transition replaced by dimerized insulator transition in 1D

Strongly correlated superconductivity replaced by pairing fluctuations

Field theories and symmetries align with Anderson impurity characteristics

Abstract

A single Anderson impurity model recently predicted, through its unstable fixed point, the phase diagram of a two band model correlated conductor, well confirmed by Dynamical Mean Field Theory in infinite dimensions. We study here the one dimensional version of the same model and extract its phase diagram in this opposite limit of reduced dimensionality. As expected for one dimension, the Mott metal-insulator transition at half filling is replaced by a dimerized insulator-undimerized Mott insulator transition, while away from half filling the strongly correlated superconductivity for inverted Hund's rule exchange in infinite dimensions is replaced by dominant pairing fluctuations. Many other aspects of the one dimensional system, in particular the field theories and their symmetries are remarkably the same as those of the Anderson impurity, whose importance appears enhanced.