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TT: Fachverband Tiefe Temperaturen
TT 102: Topology: Majorana Fermions
TT 102.7: Talk
Thursday, March 15, 2018, 17:45–18:00, A 053
The influence of the non-locality of Majorana bound states on thesupercurrent — •Alexander Schuray1, Alfredo Levy-Yeyati2, and Patrik Recher1,3 — 1Institut für Mathematische Physik, TU Braunschweig, D-38106 Braunschweig, Germany — 2Departamento de Física Teórica de la Materia Condensada C-V, Condensed Matter Physics Center and Instituto Nicolás Cabrera, UAM, E-28049 Madrid, Spain — 3LENA Braunschweig, D-38106 Braunschweig, Germany
The transport signatures of Majorana bound states (MBS), which emerge at the boundaries of one dimensional p-wave superconductors, have been in the center of many research activities. One of these proposed signatures is that the supercurrent in an s-wave-p-wave Josephson junction is blocked [1], if the considered superconductors are semi-infinite. However, recent experiments [2] and theoretical works [3,4] suggest that finite size effects need to be taken into account and that the second MBS can not always be neglected. We show analytically that the second MBS lifts the blockade of the supercurrent and that the resulting current carries information about the spin canting angle of the two MBS. We verify our analytical effective model numerically by using a tight-binding approximation for a spin orbit coupled nanowire in a magnetic field with proximity induced superconductivity.
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A. Schuray et al., Phys. Rev. B 96, 085417 (2017)
E. Prada et al., Phys. Rev. B 96, 085418 (2017)