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| VOLUME 116 (2022) | ISSUE 12 | PAGE 855 |
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Topological Josephson junction in transverse magnetic field
S. Backens+, A. Shnirman+*, Yu. Makhlin×°
+Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76131 Karlsruhe, Germany *Institut für QuantenMaterialien und Technologien, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen, Germany ×Condensed-matter physics Laboratory, HSE University, 101000 Moscow, Russia °Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
Abstract
We consider Majorana zero modes in a Josephson junction on top of a topological insulator in transverse magnetic field. Majorana zero modes reside at periodically located nodes of Josephson vortices. We find that hybridization of these modes is prohibited by symmetries of the problem at vanishing chemical potential, which ensures better protection of zero modes and yields methods to control the tunnel coupling between Majorana modes for quantum information processing applications. |