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arXiv · 1211.3070

Josephson effect in superconducting wires supporting multiple Majorana edge states

Doru Sticlet·Cristina Bena·Pascal Simon
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Abstract

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is investigated by combining numerical diagonalizations of tight-binding models describing the SNS junction together with an analysis of appropriate low-energy effective Hamiltonians. We show that the four pi-periodicity characteristic of the fractional dc Josephson effect is preserved. Additionally, the ideal conductance of a NS junction with a topological supraconductor, hosting two Majorana modes at its ends, is doubled compared to the single Majorana case. Last, we illustrate how a nonzero superconducting phase gradient can potentially destroy the phases supporting multiple Majorana end states.

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Doru Sticlet, Cristina Bena, Pascal Simon. 2013-03-11. Josephson effect in superconducting wires supporting multiple Majorana edge states. https://doi.org/10.1103/physrevb.87.104509

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