Robustness of Majorana fermions in 2D topological superconductors

Abstract

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are protected from the thermal effects by the mini-gap, ${\Delta }^2/{\epsilon }_F$ ($\Delta$:bulk gap, ${\epsilon }_F$: Fermi energy), which is the excitation gap to the higher-energy, non-topological, bound states in the vortex cores. Robustness to thermal effects is guaranteed only when $T\ll {\Delta }^2/{\epsilon }_F\sim 0.1$ mK, which is a very severe experimental constraint. Here we show that when s-wave superconductivity is proximity-induced on the surface of a topological insulator or a spin-orbit-coupled semiconductor, as has been recently suggested, the mini-gaps of the resultant non-Abelian states can be orders of magnitude larger than in a chiral p-wave superconductor. Specifically, for interfaces with high barrier transparencies, the mini-gap can be as high as $\sim \Delta \gg {\Delta }^2/{\epsilon }_F$, where $\Delta$ is the bulk gap of the s-wave superconductor responsible for the proximity effect.

Revised and expanded: 7 pages, 3 figures

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• A generic new platform for topological quantum computation using semiconductor heterostructures
• A self-consistent theory for graphene transport
• Majorana fermions in a tunable semiconductor device
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Majorana Fermion Induced Resonant Andreev Reflection
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Testing for Majorana Zero Modes in a Px+iPy Superconductor at High Temperature by Tunneling Spectroscopy

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