STUDY OF THERMAL CONDUCTANCE IN TOPOLOGICAL JOSEPHSON JUNCTIONS APPLICATION AS THERMAL SENSOR

Abstract

The present work deals with thermal transport in Josephson junction. In Josephson junction, heat current is phase dependent just like Josephson super current. Using topological insulators in Josephson junctions provide edge states for transport of heat current from one superconducting lead to other. Bogoliubov-de gennes transformation is used to set the theoretical formulation for thermal conductance in topological Josephson junctions. Andreev Reflection mechanism is used to describe thermal transport in topological Josephson junctions. In one dimensional short Topological Josephson junction the thermal conductance is function of phase only and shows less oscillation in thermal conductance. But in two dimensional Topological Josephson junction thermal conductance is function of phase and interface barrier strength and oscillations are more pronounced here. In one dimensional long topological Josephson junction thermal conductance shows abrupt behavior as a function of junction length and phase difference. These results of thermal conductance in topological Josephson junction can be used in thermal sensing devices where switching behavior is controlled by junction length. For short junctions, the system shows a sharp switching behavior while for long junctions the switching is smooth, which indicates a credential to use these systems for thermal switching device.