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arXiv · 1602.07471

Majorana fermion from Landau quantization in 2D topological superconductors

R. S. Akzyanov·A. L. Rakhmanov·A. V. Rozhkov·Franco Nori
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Abstract

We study the generation of Majorana fermions in a two-dimensional topological superconductor placed in a transverse magnetic field B. A topological insulator/superconductor heterostructure and a two-dimensional p-wave superconductor are discussed. It is demonstrated that in these systems a single vortex creates two Majorana fermions, one hosted at the vortex core. The wave function of the second Majorana state is localized in the superconductor volume along a circle of radius $r^* \propto B^{-1}$ centered at the vortex core. In the case of many vortices, the sensitivity of $r^*$ to the magnetic field B may be used to control the coupling between the Majorana fermions. The latter property could be an asset for quantum computations.

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R. S. Akzyanov, A. L. Rakhmanov, A. V. Rozhkov, Franco Nori. 2016-09-26. Majorana fermion from Landau quantization in 2D topological superconductors. https://doi.org/10.1103/physrevb.94.125428

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