Odd-Parity Topological Superconductors: Theory and Application to Cu$_x$Bi$_2$Se$_3$

Details Odd-Parity Topological Superconductors: Theory and Application to Cu$_x$Bi$_2$Se$_3$ Odd-Parity Topological Superconductors: Theory and Application to Cu$_x$Bi$_2$Se$_3$

2009-12-17

arxiv.org/abs/0912.3294v1

Phys. Rev. Lett. 105, 097001 (2010)

Physics

Condensed Matter

Superconductivity

4.1 pages, 2 figures

Scientific paper

Topological superconductors have been theoretically predicted as a new class of time-reversal-invariant superconductors which are fully gapped in the bulk but have protected gapless surface Andreev bound states. In this work, we provide a simple criterion that directly identifies this topological phase in \textit{odd-parity} superconductors. We next propose a two-orbital $U-V$ pairing model for the newly discovered superconductor Cu$_x$Bi$_2$Se$_3$%. Due to its peculiar three-dimensional Dirac band structure, we find that an inter-orbital triplet pairing with odd-parity is favored in a significant part of the phase diagram, and therefore gives rise to a topological superconductor phase. Finally we propose sharp experimental tests of such a pairing symmetry.

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