Stable Topological Superconductivity in a Family of Fermion Lattice Models

ORAL

Abstract

Motivated by the exotic non-Abelian topological order emerging in $p_x+ip_y$ superconductor, we present a general theorem based on mean-field energetics and symmetry arguments that topological superconducting phase is stabilized in a large family of spinless fermion lattice models with very general band structures and attractive interactions. To illustrate the theorem, we examine the phase diagrams of two specific lattice models with nearest-neighbor hopping and attraction on a square lattice and a triangular lattice. The former one only supports a $p_x+ip_y$ pairing phase and the latter exhibits a topological phase transition driven by doping from $p+ip$-pairing state to topologically trivial $f$-wave state. This work is supported by DARPA-QuEST, JQI-NSF-PFC, and US-ARO

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Authors

  • Meng Cheng

    University of Maryland, College Park

  • Kai Sun

    University of Maryland, University of Maryland, College Park

  • Victor Galitski

    University of Maryland, University of Maryland, College Park, University of Maryland College Park

  • S. Das Sarma

    University of Maryland, Condensed Matter Theory Center and Center for Nanophysics and Advanced Materials, Department of Physics, University of Maryland, College Park, Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland, USA, University of Maryland, College Park, University of Maryland-College Park, Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park MD 20742-4111, Univ. of Maryland, University of Maryland, College Park, Maryland, USA, Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111