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Gapped Boundary Phases of Topological Insulators via Weak Coupling

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arxiv 1602.04251 v3 pith:OMFTSJWZ submitted 2016-02-12 cond-mat.str-el hep-th

Gapped Boundary Phases of Topological Insulators via Weak Coupling

classification cond-mat.str-el hep-th
keywords boundarytopologicalstandardgaplessgappedinsulatorsmodelsphases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The standard boundary state of a topological insulator in 3+1 dimensions has gapless charged fermions. We present model systems that reproduce this standard gapless boundary state in one phase, but also have gapped phases with topological order. Our models are weakly coupled and all the dynamics is explicit. We rederive some known boundary states of topological insulators and construct new ones. Consistency with the standard spin/charge relation of condensed matter physics places a nontrivial constraint on models.

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