3 years ago

Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states.

Yi-hua Lai, Jay D. Sau, Sankar Das Sarma

By calculating the differential tunneling conductance spectra from the two ends of a Majorana nanowire (i.e. a semiconductor nanowire in the presence of proximity induced superconductivity, intrinsic Rashba spin-orbit coupling, and external magnetic field induced Zeeman spin splitting) with a quantum dot embedded at one end, we establish that a careful examination of the nonlocal correlations (or not) between the zero bias conductance peaks as measured separately through tunneling from the two ends of the wire can distinguish between topological Majorana bound states and trivial Andreev bound states. In particular, there will (not) be identical correlated zero bias peaks from both ends for Majorana (Andreev) bound states, and thus the presence or absence of correlated zero bias conductance in the measured tunneling spectra from the two wire ends could imply the presence or absence of topological Majorana zero modes in the system. We present detailed results for the calculated conductance, energy spectra, and wavefunctions for different chemical potentials at the same magnetic field values to motivate end-to-end conductance correlation measurements in Majorana nanowires.

Publisher URL: http://arxiv.org/abs/1901.02655

DOI: arXiv:1901.02655v1

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