Influence of thermal phase fluctuations on the single particle Green function in a 2D d-wave superconductor

TL;DR

This paper investigates how classical thermal phase fluctuations affect the single-particle Green function in 2D d-wave superconductors, providing analytical expressions below and above the transition temperature to understand spectral features.

Contribution

It introduces an analytical approach to study the Green function in 2D d-wave superconductors considering strong classical phase fluctuations, including extrapolation above the transition temperature.

Findings

Analytical expressions for the Green function below T_c.

Method to extrapolate Green function above T_c.

Qualitative features of the spectral function outlined.

Abstract

We study the single-particle Green function for a two-dimensional superconductor in a regime of strong classical phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on d-wave superconductors. We obtain analytical expressions for the Green function below the transition temperature and have worked out a way to extrapolate it for a finite temperatures above $T_c$. Along with analytical expressions for a certain limits of parameters we outline the qualitative features of the spectral function.