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arXiv · 1206.1581

Magneto-Josephson effects in junctions with Majorana bound states

Liang Jiang·David Pekker·Jason Alicea·Gil Refael·Yuval Oreg·Arne Brataas·Felix von Oppen
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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 analogue 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 current is a function of the magnetic field orientation with periodicity 4π.

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Liang Jiang, David Pekker, Jason Alicea, Gil Refael, Yuval Oreg, Arne Brataas, Felix von Oppen. 2012-06-07. Magneto-Josephson effects in junctions with Majorana bound states. https://doi.org/10.1103/physrevb.87.075438

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