Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function

TL;DR

This paper introduces Green's function-based topological order parameters for interacting topological superconductors and explores topological phase transitions beyond the noninteracting limit.

Contribution

It generalizes topological invariants to interacting superconductors using zero frequency Green's functions and analyzes phase transitions in this framework.

Findings

Defined new topological order parameters for superconductors

Connected topological field theory coefficients to Green's functions

Analyzed phase transitions beyond noninteracting models

Abstract

We propose several topological order parameters expressed in terms of Green's function at zero frequency for topological superconductors, which generalizes the previous work for interacting insulators. The coefficient in topological field theory is expressed in terms of zero frequency Green's function. We also study topological phase transition beyond noninteracting limit in this zero frequency Green's function approach.