Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates

TL;DR

This paper investigates Fermi arcs in underdoped cuprates by modeling a state of superconducting clusters with random phases, revealing their emergence between critical and cluster formation temperatures due to phase differences.

Contribution

It introduces a Monte Carlo simulation of superconducting clusters with phase disorder, explaining the origin of Fermi arcs in the pseudogap regime of cuprates.

Findings

Fermi arcs appear between Tc and T* in the model.

Arcs originate from metallic regions with large phase differences.

The state is stabilized by competition with antiferromagnetism.

Abstract

The one-particle spectral function of a state formed by superconducting (SC) clusters is studied via Monte Carlo techniques. The clusters have similar SC amplitudes but randomly distributed phases. This state is stabilized by the competition with anti-ferromagnetism, after quenched disorder is introduced. Fermi arcs between the critical temperature Tc and the cluster formation temperature scale T* are observed, similarly as in the pseudo-gap state of the cuprates. The arcs originate at metallic regions in between the neighboring clusters that present large SC phase differences.