Majorana Conductances in Three-Terminal Transports

Abstract

We consider a two-lead (three-terminal) setup of nonlocal transport through Majorana zero modes (MZMs) and construct a Majorana master equation (which is also valid for small bias voltage). We first carry out representative results of current and then show that a modified Bogoliubov-de Gennes (BdG) treatment can consistently recover the same results. Based on the interplay of the two approaches, we reveal the existence of nonvanishing channels of teleportation and crossed Andreev reflections even at the limit ${\epsilon }_M\to 0$ (zero coupling energy of the MZMs), which leads to new predictions for the height of the zero-bias-peak of the local conductance and the ${\epsilon }_M$-scaling behavior of the teleportation conductance, for verification by experiments.

6 pages, 2 figures; two recent works are cited as refs [44] and [45]

References in corpus (6)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• 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
• Majorana splitting from critical currents in Josephson junctions
• Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor