Abstract
We study time-resolved charge transport in a superconducting nanowire using time-dependent Landauer–Büttiker theory. We find that the steady-state Majorana zero-bias conductance peak emerges transiently accompanied by characteristic oscillations after a bias-voltage quench. These oscillations are suppressed for trivial impurity states (IS) that otherwise show a similar steady-state signal as the Majorana zero mode (MZM). In addition, we find that Andreev bound states or quasi-Majorana states (QMS) in the topologically trivial bulk phase can give rise to a zero-bias conductance peak, also retaining the transient properties of the MZM. Our results imply that (1) time-resolved transport may be used as a probe to distinguish between the topological MZM and trivial IS; and (2) the QMS mimic the transient signatures of the topological MZMs.
Highlights
Topological quantum computing [1] is an active field of research based on the key idea to reduce quantum decoherence issues by using topologically protected states [2, 3]
This choice fixes the units to the hopping energy; if the values of this quantity are in the eV regime, times are measured in the units of inverse hoppings which is on the order of femtoseconds
We studied the time-dependent features of Majorana zero mode (MZM) and quasi-Majorana states (QMS) in a superconducting nanowire in contrast with magnetic impurity states (IS)
Summary
Riku Tuovinen , Enrico Perfetto, Robert van Leeuwen, Gianluca Stefanucci and Michael A Sentef.
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