Auto- and cross-correlations in the spinful topological Kondo model

TL;DR

This paper investigates charge transport correlations in a spinful topological Kondo model, revealing frequency-dependent behaviors that could serve as signatures of Majorana fermions.

Contribution

It provides the first detailed calculation of auto- and cross-correlations in this model, highlighting their frequency dependencies as potential evidence for Majorana fermions.

Findings

Cross-correlation changes sign at higher frequencies.

Frequency dependencies serve as signatures of Majorana fermions.

Correlations contain richer physics than conventional transport coefficients.

Abstract

The correlations in charge transport in multiple Majorana fermions systems contain much richer physics and carry more information than the conventional transport coefficients. We calculate the auto- and cross-correlations in the spinful topological Kondo model and point out the frequencies dependencies of the correlations that may serve as a proof of the existence of the Majorana fermions in our system, particularly the change of the cross-correlation from positive to negative at higher frequency.