Quantum resistor-capacitor circuit with Majorana fermion modes in a chiral topological superconductor

• Speaker: Lee, Minchul (Kyunghee Univ., Korea)

We investigate the mesoscopic resistor-capacitor circuit consisting of a quantum dot coupled to spatially separated Majorana fermion modes in a chiral topological superconductor. We find substantially enhanced relaxation resistance due to the nature of Majorana fermions, which are their own antiparticles and are composed of particle and hole excitations in the same abundance. Furthermore, the zero-frequency relaxation resistance is completely suppressed due to a destructive interference. As a result, the Majorana mode opens an exotic dissipative channel on a superconductor which is typically regarded as dissipationless due to its finite superconducting gap. We also discuss the dissipation via the Majorana mode beyond the linear-response regime, establishing the Joule law for the Majorana mode.