Thermal signature of the Majorana fermion in a Josephson junction
Aabir Mukhopadhyay, Sourin Das
Abstract
Possible signatures of ``Majorana end states'' are discussed by combining information extracted from subgap Cooper pair transport and transport of heat by excited quasiparticles above the gap across a thermally biased Josephson junction setup formed out of a one-dimensional (1D) topological superconductor hosting Majorana end states. We show that the presence of Majorana end states results in two sets of testable relations: (i) the ratios between the various multiterminal thermal conductances is independent of the Josephson phase bias, and (ii) the phase independence of the ratios of ``ratios of the phase derivative of multiterminal thermal conductance and the corresponding Josephson current'', in a three-terminal setup. We contrast out findings with a Josephson junction setup composed of a 1D topological superconductor hosting ``Andreev type end states'' and show that they violate the above-mentioned relations. We also discuss how the presence of nonequilibrium noise in thermal current influences our predictions.