Thermoelectric properties of inversion symmetry broken Weyl semimetal-Superconductor hybrid junction

Due to its non-trivial topology, Weyl semimetals (WSMs) exhibit many interesting physi-cal effects such as the quantum anomalous Hall effect, the chiral magnetic effect, negativemagneto-resistance and unusual surface states called Fermi arcs. Intense theoretical and experimental research work have been carried out in both time-reversal and inversion symmetry broken WSMs. Although electronic properties of WSMs (both in bulk and hetero-junctions) have been extensively studied, there is less information available about its thermoelectric properties in hybrid setups. In particular, we are interested in studying thethermoelectric properties of heterostructures consisting of WSMs with superconductors which form the foundation of applications in electronics and spintronics. In this work, we theoretically investigate the thermoelectric properties of a junction consisting of an inversion symmetry broken WSM proximitized to a bulk s-wave superconductor (WSM-SC junction), employing the Blonder-Tinkham-Klapwijk formulation for non-interacting electrons. Our study unfolds interesting features for various relevant physical quantities such as the thermal conductance, the thermoelectric coefficient and the figure ofmerit. We also explore the effects of an interfacial insulating (I) barrier (WSM-I-SC junction) on thermoelectric response in the thin barrier limit. Furthermore, we compute the ratio of the thermal to the electrical conductance in different temperature regimes and find that theWiedemann-Franz law is violated for small temperatures near the Weyl points while it saturates to the Lorentz number, away from the Weyl points, at all temperatures irrespective of the barrier strength. We compare and contrast this behaviour with other Dirac material heterostructures. Our study can facilitate the fabrication of mesoscopic thermoelectric devices based on WSMs.