Correlated disorder-driven superconductivity in quasi-1d samples

Abstract

The recent surge of interest in the interplay between disorder and superconductivity has witnessed significant advancements in theory and experiment. While prior research mainly fo- cused on disorder strength’s impact, recent studies show disorder can remarkably enhance superconductivity. Structural disorder has led to notable improvements in superconducting characteristics, exemplified by MoSe chains with Na atoms (PETROVIC et al., 2016) and TaS2 monolayers (PENG et al., 2018). However, current disorder models lack consideration for spatial correlations, which are prevalent in real systems. Long-range correlations, as demonstrated in zero-temperature superconducting studies (NEVEROV et al., 2022), alter statistical proper- ties of the order parameter, reinforcing superconducting correlations against disorder. This dissertation explores correlated disorder’s effect on nanowire superconductivity, revealing in- tricate connections between electron density, disorder, correlations, and sample dimensions. Specifically, electron density modulates order parameter dependence on transverse dimen- sions, showing weakened quantum-size effects near the mid-band. Disorder’s influence varies with electron density; mid-band exhibits milder disorder impact than band edges. In high elec- tron density, weak correlation-dependent OP increase is noted with size reduction, contrasting the low-density regime where a strong, non-monotonic correlation-dependent increase emerges. This research emphasizes correlation’s vital role in robust superconductivity, offering tailored material design opportunities.