Physics – Condensed Matter – Superconductivity
Scientific paper
2011-04-28
Phys. Rev. B 84, 014503 (2011)
Physics
Condensed Matter
Superconductivity
14 pages, 11 figures
Scientific paper
10.1103/PhysRevB.84.014503
Among the broad spectrum of systems predicted to exhibit topological superconductivity and Majorana fermions, one-dimensional wires with strong spin-orbit coupling provide one of the most promising experimental candidates. Here we investigate the fate of the topological superconducting phase in such wires when repulsive interactions are present. Using a combination of Density Matrix Renormalization Group, bosonization, and Hartree-Fock techniques, we demonstrate that while interactions degrade the bulk gap -consistent with recent results of Gangadharaiah et al.- they also greatly expand the parameter range over which the topological phase arises. In particular, we show that with interactions this phase can be accessed over a broader chemical potential window, thereby leading to greater immunity against disorder-induced chemical potential fluctuations in the wire. We also suggest that in certain wires strong interactions may allow Majorana fermions to be generated without requiring a magnetic field.
Alicea Jason
Fisher Matthew P. A.
Starykh Oleg A.
Stoudenmire E. M.
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