Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit

TL;DR

This paper studies how Majorana bound states influence the ac electrical response of a quantum resistor-capacitor circuit, revealing unique effects on dissipation and capacitance that differ from non-Majorana systems.

Contribution

It demonstrates the specific impact of Majorana states on dissipation and quantum capacitance in a topological superconducting circuit, highlighting effects not seen in ordinary fermionic systems.

Findings

Majorana states can suppress or enhance dissipation depending on system parameters.

The ac response effects are unique to Majorana states and cannot be mimicked by non-Majorana systems.

Comparison shows genuine Majorana-induced modifications in relaxation resistance and quantum capacitance.

Abstract

We investigate the effects of Majorana bound states on the ac response of a quantum resistor-capacitor circuit which is composed of a topological superconducting wire whose two ends are tunnel-coupled to a lead and a spinless quantum dot, respectively. The Majorana states formed at the two ends of the wire are found to suppress completely or enhance greatly the dissipation, depending on the strength of the overlap between two Majorana modes and/or the dot level. We compare the relaxation resistance and the quantum capacitance of the system with those of non-Majorana counterparts to find that the effects of the Majorana state on the ac response are genuine and cannot be reproduced in ordinary fermonic systems.