Thermoelectric transport in junctions of Majorana and Dirac channels

We investigate the thermoelectric current and heat conductance in a chiral Josephson contact on a surface of a three-dimensional topological insulator, covered with superconducting and magnetic insulator films. The contact consists of two junctions of Majorana and Dirac channels next to two superconductors. Geometric asymmetry results in a supercurrent without a phase bias. The interference of Dirac fermions causes oscillations of the electric and heat currents with an unconventional period 2 Φ₀=h /e as functions of the Aharonov-Bohm flux. Due to the gapless character of Majorana modes, there is no threshold for the thermoelectric effect, and the current-flux relationship is nonsinusoidal. Depending on the magnetic flux, the direction of the electric current can be both from the hot to the cold lead and vice versa.