Interface Symmetry-Protected Topological States

ORAL

Abstract

Bosonic Symmetry-Protected Topological (SPT) states are entangled gapped phases of matter fundamentally different than trivial product states. I will discuss a mechanism whereby local interactions give rise to one-dimensional SPT states at the gapped interface between two dimensional systems. I shall approach this interface problem using a one-dimensional Luttinger liquid theory whose instability towards a gapped state is driven by local interactions that respect a set of discrete symmetries responsible for the stable properties of the emergent SPT state. I will discuss the entanglement properties as well as zero mode excitations supported by domain walls along these SPT interfaces.

*This work is partially supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant No. GBMF4305.

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Presenters

  • Luiz Santos

    • Physics, Univ of Illinois - Urbana
    • Univ of Illinois - Urbana

Authors

  • Luiz Santos

    • Physics, Univ of Illinois - Urbana
    • Univ of Illinois - Urbana

  • Jennifer Cano

    • Princeton Center for Theoretical Science, Princeton University
    • Princeton Center for Theoretical Science
    • Physics, Princeton University
    • Princeton University
    • Center for Theoretical Science, Princeton University
    • Physics, Princeton

  • Michael Mulligan

    • Physics and Astronomy, Univ of California - Riverside
    • University of California-Riverside
    • Physics, University of California Riverside
    • Physics and Astronomy, University of California - Riverside

  • Taylor Hughes

    • University of Illinois Urbana-Champaign
    • Department of physics, University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
    • Physics, Univ of Illinois - Urbana