Long-range Topological Superconductors: Majorana & Non-local Dirac fermions

ORAL

Abstract

Long-range interactions can dramatically modify the phase diagram of condensed matter systems. Novel topological superconducting phases can be induced in both wire-shaped and planar structures by including long-range effects. In 1D, massless Majorana modes at the edge pair into a new topological quasiparticle: a massive Dirac fermion localized at both edges of the wire. This new topological phase has fractional quantum numbers as a consequence of the long-range couplings. Moreover, we remarkably observe a staircase of higher-order topological phase transitions. In 2D, we show how long-range interactions may greatly enhance the formation of chiral topological superconductivity. The inclusion of long-range effects is potentially applicable to recent experiments with magnetic impurities and islands in superconductors.
[1] Chiral Topological Superconductors Enhanced by Long-range Interactions, O. Viyuela, L. Fu, M.A. Martin-Delgado, arXiv: 1707.02326 (2017).
[2] Staircase to Higher-Order Topological Phase Transitions, P. Cats, A. Quelle, O. Viyuela, M.A. Martin-Delgado, C.Morais Smith, arXiv: 1710.05691 (2017).

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Presenters

  • Oscar Viyuela

    Physics, Harvard University, Department of Physics, Harvard University

Authors

  • Oscar Viyuela

    Physics, Harvard University, Department of Physics, Harvard University

  • Liang Fu

    Department of Physics, Massachusetts Institute of Technology, Massachusetts Inst of Tech-MIT, Physics, Massachusetts Inst of Tech-MIT, Physics, Massachusetts Institute of Technology, Physics, Massachusetts Inst of Technology, Physics, MIT, Massachusetts Institute of Technology, MIT

  • Miguel Angel Martin-Delgado

    Departamento de Fisica Teorica I, Universidad Complutense, Theoretical Physics, Universidad Complutense de Madrid