Doru Sticlet, Cristina Bena, Pascal Simon
We study superconducing-normal-superconducting (SNS) Josephson junctions in 1D 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 $4\pi$-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 non-zero superconducting phase gradient can potentially destroy the phases supporting multiple Majorana end states.
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http://arxiv.org/abs/1211.3070
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