The symmetry of the order parameter in topological superconductivity

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Session Q10 - HTSC: THEORY OF OBSERVATION OF ORDER PRAMETER SYMETRY
Mixed session, Friday morning, March 24, 8:00
Ballroom A4, San Jose Convention Center

[Q10.04] The symmetry of the order parameter in topological superconductivity

Alexander Abanov,Leo Radzihovsky (James Franck Institute, the University of Chicago),Paul Wiegmann (James Frank Institute and Enrico Fermi Institute of the University of Chicago)

We find a superconducting order parameter for a model of a doped Mott insulator which leads to a topological (anyon) mechanism of superconductivity. We calculate Josephson effect for a contact between topological and conventional s-wave superconductor and predict a phase shift of \pi for the corner-SQUID-junction experiment, same as for tunneling from a d-wave to s-wave superconductor. The tunneling amplitude and superconducting order parameter does not belong to any known representation of the crystal symmetry group. The tunneling amplitude of topological superconductors is not directly related to the gap in the spectrum of one particle excitations. Therefore the d-wave like Josephson effect does not imply gapless excitations.

Part Q of program listing