Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films

Abstract

The ends of one-dimensional p+ip superconductors have long been predicted to possess localized Majorana fermion modes. We show that Majorana end states survive beyond the strict 1D single-channel limit so long as the sample width does not exceed the superconducting coherence length, and exist when an odd number of transverse quantization channels are occupied. Consequently we find that the system undergoes a sequence of topological phase transitions driven by changing the chemical potential. These observations make it feasible to implement quasi-1D p+ip superconductors in metallic thin-film microstructures, which offer 3-4 orders of magnitude larger energy scales than semiconductor-based schemes. Some promising candidate materials are described.

5 pages, 5 figures, final published version, appendix on samples with random edge geometries added

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• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors

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