Thermoelectric transport through a quantum dot embedded between Majorana bound states

We study a system composed of leads connected to a quantum dot (QD) embedded between two 1D topological superconductors hosting Majorana bound states (MBSs) at their ends. These topological nanowires are treated by means of the Kitaev effective model, which physical realizations have been achieved using hybrid structures semiconductors/superconductors (such as InAs-Al), in presence of the magnetic field. The MBSs in such structures interact between them through a coupling that exponentially decays with the wire length. The interplay between discrete energy levels and continuum energy produces interference phenomena, such as the Fano effect. This leads to a violation of the Wiedemann-Franz law and to an increment in the thermoelectric quantities of the system consequently. Working components mentioned above are present in our system, thus our goal is to provide thermoelectric features of the QD influenced by the connection of MBSs belonging to both topological wires. Our results are obtained in the linear response regime using a temperature difference $\Delta T$. Our findings show that the thermoelectric quantities can be tuned by controlling the tunneling couplings in the system, as well as the phase difference between topological superconductors, leading to its suppression.