Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity

TL;DR

This paper develops a cluster extended dynamical mean field theory to better understand the emergence of unconventional superconductivity and magnetic order in heavy fermion systems, providing a new framework for analyzing correlated electron phenomena.

Contribution

It introduces a cluster version of the extended dynamical mean field theory to incorporate unconventional superconductivity and magnetic interactions in heavy fermion models.

Findings

Magnetic order and superconductivity arise from inter-site spin exchange interactions.

Correlation functions are analyzed in detail within the new framework.

The approach can be applied to models like the periodic Anderson model.

Abstract

The extended dynamical mean field theory has played an important role in the study of quantum phase transitions in heavy fermion systems. In order to incorporate the physics of unconventional superconductivity, we develop a cluster version of the extended dynamical mean field theory. In this approach, we show how magnetic order and superconductivity develop as a result of inter-site spin exchange interactions, and analyze in some detail the form of correlation functions. We also discuss the methods that can be used to solve the dynamical equations associated with this approach. Finally, we consider different settings in which our approach can be applied, including the periodic Anderson model for heavy fermion systems.