Monte Carlo study of thermal fluctuations and Fermi-arc formation in d-wave superconductors

TL;DR

This study uses Monte Carlo simulations with Green's function and Chebyshev polynomial methods to explore how thermal fluctuations influence Fermi-arc formation in underdoped high-temperature d-wave superconductors.

Contribution

It introduces a local update Monte Carlo approach combined with spectral function calculations to analyze the impact of vortex-like phase fluctuations on Fermi arcs.

Findings

Fermi arcs evolve with temperature due to phase fluctuations.

Vortex-like fluctuations significantly influence Fermi-arc formation.

Spectral weight loss correlates with temperature increase.

Abstract

From the perspective of thermal fluctuations, we investigate the pseudogap phenomena in underdoped high-temperature curpate superconductors. We present a local update Monte Carlo procedure based on the Green's function method to sample the fluctuating pairing field. The Chebyshev polynomial method is applied to calculate the single-particle spectral function directly and efficiently. The evolution of Fermi arcs as a function of temperature is studied by examining the spectral function at Fermi energy as well as the loss of spectral weight. Our results signify the importance of the vortex-like phase fluctuation on the formation of Fermi arcs.