Non-equilibrium Josephson effect through helical edge states

Details Non-equilibrium Josephson effect through helical edge states Non-equilibrium Josephson effect through helical edge states

2011-08-18

arxiv.org/abs/1108.3870v1

Phys. Rev. Lett. 107, 177002 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures

Scientific paper

We study Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are 4Pi-periodic in the superconducting phase difference, it was speculated that, at finite dc bias voltage, the junction exhibits a fractional Josephson effect with half the Josephson frequency. Using the scattering matrix formalism, we show that signatures of this effect can be seen in the finite-frequency current noise. Furthermore, we discuss other manifestations of the Majorana bound states forming at the edges of the superconductors.

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