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Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
Wladimir A. Benalcazar, Jeffrey C. Y. Teo, Taylor L. Hughes
We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two dimensions and provide the criteria for a zero energy Majorana bound state (MBS) to be…
Braiding Statistics and Congruent Invariance of Twist Defects in Bosonic Bilayer Fractional Quantum Hall States
Jeffrey C. Y. Teo, Abhishek Roy, Xiao Chen
We describe the braiding statistics of topological twist defects in abelian bosonic bilayer (mmn) fractional quantum Hall (FQH) states, which reduce to the Z_n toric code when m=0.…
Topological phase states of the SU(3) QCD
Alexander P. Protogenov, Evgueni V. Chulkov, Jeffrey C. Y. Teo
We consider the topologically nontrivial phase states and the corresponding topological defects in the SU(3) d-dimensional quantum chromodynamics (QCD). The homotopy groups for top…
Unconventional Fusion and Braiding of Topological Defects in a Lattice Model
Jeffrey C. Y. Teo, Abhishek Roy, Xiao Chen
We demonstrate the semiclassical nature of symmetry twist defects that differ from quantum deconfined anyons in a true topological phase by examining non-abelian crystalline defect…
Disclination classes, fractional excitations, and the melting of quantum liquid crystals
Sarang Gopalakrishnan, Jeffrey C. Y. Teo, Taylor L. Hughes
We consider how fractional excitations bound to a dislocation evolve as the dislocation is separated into a pair of disclinations. We show that some dislocation-bound excitations (…