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Interaction Enabled Topological Crystalline Phases
Matthew F. Lapa, Jeffrey C. Y. Teo, Taylor L. Hughes
In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topo…
Anyonic Symmetries and Topological Defects in Abelian Topological Phases: an application to the Classification
Mayukh Nilay Khan, Jeffrey C. Y. Teo, Taylor L. Hughes
We study symmetries and defects of a wide class of two dimensional Abelian topological phases characterized by Lie algebras. We formulate the symmetry group of all Abelian topologi…
Conflicting Symmetries in Topologically Ordered Surface States of Three-dimensional Bosonic Symmetry Protected Topological Phases
Gil Young Cho, Jeffrey C. Teo, Shinsei Ryu
We study the Z2 topologically ordered surface state of three-dimensional bosonic SPT phases with the discrete symmetries G1 x G2. It has been argued that the topologically ordered…