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Topological properties of Josephson current between two s-and p-wave superconducting nanowires with Majorana fermions

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dc.contributor.authorNakhmedov, E.
dc.contributor.authorSuleymanli, B. D.
dc.contributor.authorNaumov, P. Y.
dc.contributor.authorНаумов, Петр Юрьевич
dc.date.accessioned2024-11-27T15:16:42Z
dc.date.available2024-11-27T15:16:42Z
dc.date.issued2020
dc.description.abstract© Published under licence by IOP Publishing Ltd.Josephson current between two one-dimensional nanowires with proximity induced either s-wave or p-wave pairing and separated by a narrow dielectric barrier is calculated in the presence of Rashba spin-orbit interaction, in-plane and normal Zeeman magnetic fields. We show that Andreev retro-Tunneling is realized by means of two channels. The main contribution to the Josephson current in junction of s-or p-wave superconductors is shown to give Andreev scattering in a conventional particle-hole channel, when an electron-like quasiparticle reflects to a hole-like quasiparticle with opposite spin yielding a current which depends only on the order parameters' phase differences φ and oscillates with fractional 4π period. Nevertheless Andreev bound state energy in second anomalous particle-hole channel, corresponding to the reflection of an incident electron-like quasiparticle to a hole-like quasiparticle with the same spin orientation, survives only in the presence of the in-plane magnetic field, and oscillates with 4π period not only with φ but also with orientational angle of the in-plane magnetic field θ resulting in a magneto-Josephson effect. In the presence of Rashba spin-orbit coupling (SOC) and normal-To-plane magnetic field h, a forbidden gap is shown to open in the dependence of Andreev bound state energies on the phases φ and θ at several values of SOC strength and magnetic field, where Josephson current seems to vanish. The magnetic fields destroy also the particle-hole symmetry of the mid-gap states around Fermi level.
dc.identifier.citationNakhmedov, E. Topological properties of Josephson current between two s-and p-wave superconducting nanowires with Majorana fermions / Nakhmedov, E., Suleymanli, B.D., Naumov, P.Y. // Journal of Physics: Conference Series. - 2020. - 1690. - № 1. - 10.1088/1742-6596/1690/1/012078
dc.identifier.doi10.1088/1742-6596/1690/1/012078
dc.identifier.urihttps://www.doi.org/10.1088/1742-6596/1690/1/012078
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85098330488&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/22944
dc.relation.ispartofJournal of Physics: Conference Series
dc.titleTopological properties of Josephson current between two s-and p-wave superconducting nanowires with Majorana fermions
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume1690
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relation.isAuthorOfPublication.latestForDiscoverye661670b-7704-4c4f-be34-f7bf3d27687a
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