Master equation approach for transport through Majorana zero modes

Abstract

Based on an exact formulation, we present a master equation approach to transport through Majorana zero modes (MZMs). Within the master equation treatment, the occupation dynamics of the regular fermion associated with the MZMs holds a quite different picture from the BdG S-matrix scattering process, in which the "positive" and "negative" energy states are employed, while the master equation treatment does not involve them at all. Via careful analysis for the structure of the rates and the rate processes governed by the master equation, we reveal the intrinsic connection between both approaches. This connection enables us to better understand the confusing issue of teleportation when the Majorana coupling vanishes. We illustrate the behaviors of transient rates, occupation dynamics and currents. Through the bias voltage dependence, we also show the Markovian condition for the rates, which can extremely simplify the applications in practice. As future perspective, the master equation approach developed in this work can be applied to study important time-dependent phenomena such as photon-assisted tunneling through the MZMs and modulation effect of the Majorana coupling energy.

13 pages, 4 figures

References in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach
• Majorana finite frequency nonequilibrium quantum noise
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• A robust protocol for entropy measurement in mesoscopic circuits
• Direct Entropy Measurement in a Mesoscopic Quantum System
• Note on solutions of scattering equations

Cited by in corpus (5)

• Majorana differential shot noise and its universal thermoelectric crossover
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Quantum transport theory of hybrid superconducting systems
• Thermoelectric fluctuations of interfering Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states