Majorana-mediated thermoelectric transport in multiterminal junctions

The unambiguous identification of Majorana zero modes (MZMs) is one of the most outstanding problems of condensed matter physics. Thermal transport provides a detection tool that is sensitive to these chargeless quasiparticles. We study thermoelectric transport between metallic leads transverse to a Josephson junction. The central double quantum dot hosts conventional or topological Andreev states that depend on the phase difference \(\phi\). We show that the presence of MZMs can be identified by a significant amplification of both the electrical and thermal conductance at \(\phi \approx \pi\) as well as the Seebeck coefficient at \(\phi \approx 0\). In addition, we show that the Wiedemann-Franz law is strongly violated in the presence of MZMs around \(\phi \approx \pi\) when compared to the conventional case. We further investigate the robustness of our results against Cooper pair splitting processes.