74 citations · 353 across the 19 of their papers we have counts for
6 papers · 1 filter
Conformal field theory and the non-abelian chiral spin liquid
Thomas Quella, Abhishek Roy
We construct a family of 1D and 2D long-range SU(2) spin models as parent Hamiltonians associated with infinite dimensional matrix product states that arise from simple current cor…
Twofold twist defect chains at criticality
Xiongjie Yu, Xiao Chen, Abhishek Roy +1
The twofold twist defects in the quantum double model (abelian topological phase) carry non-abelian fractional Majorana-like characteristics. We align these twist…
From orbifolding conformal field theories to gauging topological phases
Xiao Chen, Abhishek Roy, Jeffrey C. Y. Teo +1
Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractiona…
Chiral Haldane phases of SU(N) quantum spin chains in the adjoint representation
Abhishek Roy, Thomas Quella
Gapped quantum spin chains with symmetry PSU(N)=SU(N)/Z(N) are known to possess N distinct symmetry protected topological phases. Besides the trivial phase, there are N-1 Haldane p…
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…