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

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