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Published February 25, 2013 | Submitted + Published
Journal Article Open

Magneto-Josephson effects in junctions with Majorana bound states

Abstract

We investigate 1D quantum systems that support Majorana bound states at interfaces between topologically distinct regions. In particular, we show that there exists a duality between particle-hole and spin degrees of freedom in certain spin-orbit-coupled 1D platforms such as topological insulator edges. This duality results in a spin analog of previously explored "fractional Josephson effects"—that is, the spin current flowing across a magnetic junction exhibits 4π periodicity in the relative magnetic field angle across the junction. Furthermore, the interplay between the particle-hole and spin degrees of freedom results in unconventional magneto-Josephson effects, such that the Josephson charge current is a function of the magnetic field orientation with periodicity 4π.

Additional Information

© 2013 American Physical Society. Received 9 July 2012; revised manuscript received 28 January 2013; published 25 February 2013. It is a pleasure to thank M. P. A. Fisher, L. Glazman, A. Haim, B. Halperin, A. Kitaev, L. Kouwenhoven, C. Marcus, J. Meyer, Y. Most, F. Pientka, J. Preskill, X. L. Qi, K. Shtengel, and A. Stern for useful discussions, and the Aspen Center for Physics for hospitality. We are also grateful for support from the NSF through grant DMR-1055522, BSF, SPP1285 (DFG), NBRPC (973 program) grant 2011CBA00300 (2011CBA00301), the Alfred P. Sloan Foundation, the Packard Foundation, the Humboldt Foundation, the Minerva Foundation, the Sherman Fairchild Foundation, the Lee A. DuBridge Foundation, the Moore-Foundation funded CEQS, and the Institute for Quantum Information and Matter (IQIM) an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.

Attached Files

Published - PhysRevB.87.075438.pdf

Submitted - 1206.1581v1.pdf

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