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Geometric Josephson effects in chiral topological nanowires
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 12018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 98, no 5, article id 054508Article in journal (Refereed) Published
Abstract [en]

One of the salient signatures of Majorana zero modes and topological superconductivity is a 4 pi-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of zero-energy crossings in the Andreev spectrum. In this paper, we study this effect in Josephson junctions composed of two semiconducting nanowires with Rashba spin-orbit coupling and induced superconductivity from the proximity effect. For certain orientations of the externalmagnetic field, such junctions possess a chiral symmetry, and we show how this symmetry allows the Andreev spectrum and the protected crossings to be shifted by introducing a relative angle between the two wires. The junction then displays a geometrically induced anomalous Josephson effect, the flow of a supercurrent in the absence of external phase bias. Furthermore, we derive a proportionality relation between the local current density and the local curvature for a single curvedwire. This result can be viewed as a one-dimensional analog of the recently proposed geo-Josephson effect [T. Kvorning et al., Phys. Rev. Lett. 120, 217002 (2018)]. Our two proposed effects can, in principle, be used as signatures of topological superconductivity in one dimension.

Place, publisher, year, edition, pages
2018. Vol. 98, no 5, article id 054508
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-160106DOI: 10.1103/PhysRevB.98.054508ISI: 000441715800002OAI: oai:DiVA.org:su-160106DiVA, id: diva2:1249493
Available from: 2018-09-19 Created: 2018-09-19 Last updated: 2018-09-19Bibliographically approved

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