A Superconducting instability in the surface of a topological insulator

Details A Superconducting instability in the surface of a topological insulator A Superconducting instability in the surface of a topological insulator

2010-12-09

arxiv.org/abs/1012.2008v2

Physics

Condensed Matter

Superconductivity

4+\epsilon pages, no figures. Extensive changes in the second part. Mean field treatment of the superconducting transition

Scientific paper

It is argued that a superconducting instability appears in the electronic states on the surface of a topological insulator due purely to electromagnetic interactions. The discussion of this instability is based on the analysis of the effective Coulomb interaction and the assumption that the system behaves like a two dimensional Fermi liquid. It is shown that this superconducting instability appears in the p-wave channel (like in the pure QED$_{3}$ case) and an expression for the critical temperature of the transition is provided.

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