Quantum Resistor-Capacitor Circuit with Majorana Fermion Modes in Chiral Topological Superconductor

Abstract

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 anti-particles and composed of particle and hole excitations in the same abundance. Further, if only a single Majorana mode is involved, 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.

To appear in Phys. Rev. Lett.; Supplemental Material available at http://iff.korea.ac.kr/Opus/ChoiMS14c-Suppl.pdf; References and Suppl. Mat. updated

References in corpus (6)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
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Cited by in corpus (4)

• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit
• Mixed-Valence Transition on a Quantum-Dot Coupled to Superconducting and Spin-Polarized Leads