Interferometric Signatures of Electron Transfer through Majorana Bound States

J. Barański, T. Zienkiewicz Polish Air Force University, Dywizjonu 303, PL-08521 Dęblin, Poland

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In semiconducting nanowires deposited on top of s-wave superconductors, the combined effect of induced superconducting order, strong spin-orbit coupling, and magnetic field can lead to the realization of topologically non-trivial edge states. According to Kitayev's model, such states fulfill the axioms of Majorana quasiparticles. Recent development of quantum dot-nanowire hybrids provides useful tools to perform analysis which goes beyond mere observation of such states. One of the most challenging tasks is to demonstrate the nonlocal character of these states. Considering two quantum dots coupled to opposite edges of a chain hosting Majorana quasi-particles, we show that long range electron transfer through the Majorana states can be demonstrated by measurement of local currents. We show that the scattering of electron on one dot gives rise to interferometric signatures on the quantum dot connected to the opposite side of the nanowire.

DOI:10.12693/APhysPolA.136.662 PACS numbers: 73.63.Kv, 73.23.Hk, 74.45.+c, 74.50.+r