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CONDENSED MATTER
Topological superconductivity and fractional Josephson effect in quasi-one dimensional wires on a plane
E. Nakhmedovab, S. Mammadovaa, O. Alekperova a Institute of Physics, Azerbaijan National Academy of Sciences, AZ1143 Baku, Azerbaijan
b Institut für Theoretische Physik, Universität Würzburg, D-97074 Würzburg, Germany
Abstract:
A time-reversal invariant topological superconductivity is suggested to be realized in a quasi-one dimensional structure on a plane, which is fabricated by filling the superconducting materials into the periodic channel of dielectric matrices like zeolite and asbestos under high pressure. The topological superconducting phase sets up in the presence of large spin-orbit interactions when intra-wire $s$-wave and inter-wire $d$-wave pairings take place. Kramers pairs of Majorana bound states emerge at the edges of each wire. We analyze effects of Zeeman magnetic field on Majorana zero-energy states. In-plane magnetic field was shown to make asymmetric the energy dispersion, nevertheless Majorana fermions survive due to protection of a particle-hole symmetry. Tunneling of Majorana quasi-particle from the end of one wire to the nearest-neighboring one yields edge fractional Josephson current with $4\pi$-periodicity.
Received: 21.10.2015 Revised: 26.10.2015
Citation:
E. Nakhmedov, S. Mammadova, O. Alekperov, “Topological superconductivity and fractional Josephson effect in quasi-one dimensional wires on a plane”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:1 (2016), 20–26; JETP Letters, 103:1 (2016), 18–24
Linking options:
https://www.mathnet.ru/eng/jetpl4827 https://www.mathnet.ru/eng/jetpl/v103/i1/p20
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Abstract page: | 136 | Full-text PDF : | 26 | References: | 27 | First page: | 10 |
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