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      Exactly soluble model of boundary degeneracy

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          Abstract

          <p class="first" id="P1">We investigate the topological degeneracy that can be realized in Abelian fractional quantum spin Hall states with multiply connected gapped boundaries. Such a topological degeneracy (also dubbed as “boundary degeneracy”) does not require superconducting proximity effect and can be created by simply applying a depletion gate to the quantum spin Hall material and using a generic spin-mixing term (e.g., due to backscattering) to gap out the edge modes. We construct an exactly soluble microscopic model manifesting this topological degeneracy and solve it using the recently developed technique [S. Ganeshan and M. Levin, <a data-untrusted="" href="https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.075118" id="d10370448e139" target="xrefwindow">Phys. Rev. B 93</a>, <a data-untrusted="" href="https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.075118" id="d10370448e142" target="xrefwindow">075118</a> ( <a data-untrusted="" href="https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.075118" id="d10370448e145" target="xrefwindow">2016</a>)]. The corresponding string operators spanning this degeneracy are explicitly calculated. It is argued that the proposed scheme is experimentally reasonable. </p>

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          Author and article information

          Journal
          PRBMDO
          Physical Review B
          Phys. Rev. B
          American Physical Society (APS)
          2469-9950
          2469-9969
          January 2017
          January 2017
          : 95
          : 4
          Article
          10.1103/PhysRevB.95.045309
          6604629
          31276076
          221c10de-baed-43e7-8b89-d9c12774b49b
          © 2017

          http://link.aps.org/licenses/aps-default-license

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