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

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.

References in corpus (8)

• Anderson Transitions
• The Kernel Polynomial Method
• Localization of preformed Cooper-pairs in disordered superconductors
• Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Quantum breakdown of superconductivity in low-dimensional materials
• Superconductivity at the three-dimensional Anderson metal-insulator transition
• Multifractally-enhanced superconductivity in thin films