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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.…
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…
Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
Xiao Chen, Eduardo Fradkin
Numerical studies of the reduced density matrix of a gapped spin-1/2 Heisenberg antiferromagnet on a two-leg ladder find that it has the same form as the Gibbs density matrix of a…
Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
Olabode M. Sule, Xiao Chen, Shinsei Ryu
We consider non-chiral symmetry-protected topological phases of matter in two spatial dimensions protected by a discrete symmetry such as or $\mathbb Z_K \times \mat…