Quantum impurities in channel mixing baths

TL;DR

This paper introduces a new numerical renormalization group method for solving complex channel-mixing Kondo and Anderson models, enabling advanced studies of quantum phase transitions in strongly correlated electron systems.

Contribution

It presents a versatile strategy that extends the applicability of NRG to models with channel mixing, surpassing previous limitations and facilitating broader non-perturbative analyses.

Findings

Successfully applied to quantum impurity models with previously unexplored cases.

Revealed new quantum phase transition behaviors in these models.

Demonstrated the method's potential for complex strongly correlated systems.

Abstract

We propose a versatile strategy for numerical renormalization group solution of general channel-mixing Kondo and Anderson models beyond previous reach, opening the door toward broad applications in protocol non-perturbative machineries, such as dynamical cluster approximation and cluster dynamical mean field theory, for strongly correlated electron systems. We illustrate the strategy by investigating the quantum phase transitions in two quantum impurity models with cases untouched before.