Abstract
We study coherent electronic transport through a Coulomb blockaded superconducting Rashba wire in the co-tunneling regime between conductance resonances. By varying an external Zeeman field the wire can be tuned into a topological regime, where non-local transport through Majorana zero modes is the dominant mechanism. We model coherent transport in the co-tunneling regime by using a scattering matrix formalism, and find that the transmission amplitude has a maximum as a function of Zeeman field, whose height is proportional to the wire length. We relate the transmission amplitude to the Majorana correlation length, and argue that the Zeeman field and length dependence of the transmission amplitude are unique signatures for the presence of Majorana zero modes.
Highlights
In recent years, Majorana zero modes (MZMs) have attracted much attention as possible candidates for the realization of topologically protected quantum bits [1,2,3]
We study how the nonlocality of the electronic state encoded by MZMs can be probed by phase coherent transport through a Coulomb blockaded wire with MZMs at its ends [16,17,18,19,20,21,22]
From our scattering matrix analysis using a charging energy that is proportional to the inverse of the wire length, we find that the transmission amplitude is proportional to the wire length in the topological region, while it is independent of the wire length in the normal-conducting range
Summary
Majorana zero modes (MZMs) have attracted much attention as possible candidates for the realization of topologically protected quantum bits [1,2,3]. In a conductance valley in between Coulomb blockade peaks, the amplitude of the transmission through a Majorana wire is determined by the magnitude of the wave functions at the ends of the wire√. In this article we consider a one-dimensional Rashba wire in proximity to an s-wave superconductor and subject to a perpendicular magnetic field This system can be tuned into a topological regime where it realizes MZMs at the ends of the wire [1,32,33,34,35,36]. We focus on the magnitude of the transmission amplitude, which includes phase information in the thermal average over occupations of the dot For this reason, the transmission amplitude is able to distinguish MZMs from pseudo-MZMs, which is not possible when considering conductance measurements only
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