Multifractal correlations of the local density of states in dirty superconducting films

TL;DR

This paper investigates the multifractal correlations of local density of states in weakly disordered superconducting films through numerical simulations and analytical theory, revealing coherent multifractal behavior.

Contribution

It combines numerical and analytical approaches to elucidate multifractal correlations in the local density of states of disordered superconducting films.

Findings

Numerical results support the analytical theory.

Multifractal correlations are confirmed in weakly disordered superconductors.

Coherent picture of local density of states fluctuations is established.

Abstract

Mesoscopic fluctuations of the local density of states encode multifractal correlations in disorderedelectron systems. We study fluctuations of the local density of states in a superconducting state of weakly disordered films. We perform numerical computations in the framework of the disordered attractive Hubbard model on two-dimensional square lattices. Our numerical results are explained by an analytical theory. The numerical data and the theory together form a coherent picture of multifractal correlations of local density of states in weakly disordered superconducting films.