Thermal signature of Majorana fermions in Josephson junction

TL;DR

This paper demonstrates a unique correlation between thermal conductance and Josephson current in a topological Josephson junction, providing a potential method to identify Majorana bound states through combined sub-gap and above-gap transport analysis.

Contribution

It introduces a novel correlation between thermal conductance and Josephson current in topological junctions, aiding in Majorana state detection.

Findings

Correlation between thermal conductance and Josephson current established

Expression connecting thermal conductance and Josephson current derived

Three-terminal setup proposed for Majorana state identification

Abstract

Existence of distinctive correlation between the thermal conductance and the Josephson current across a 1-D topological Josephson junction (T-JJ) is established and an expression connecting the two is derived in the short junction limit. It is shown that the three terminal T-JJ provides us with an ideal set-up for exploiting the distinctive correlations which aid in identifying hallmarks of Majorana bound state localized at the junction. Our approach combines information form sub-gap Cooper pair transport and transport of above-gap thermally excited quasiparticle which is complementary to the existing studies.