191 citations · 2.1k across the 39 of their papers we have counts for
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Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
Michael Levin, F. J. Burnell, Maciej Koch-Janusz +1
We construct exactly soluble lattice models for fractionalized, time reversal invariant electronic insulators in 2 and 3 dimensions. The low energy physics of these models is exact…
SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
F. J. Burnell, Chetan Nayak
We apply the SU(2) slave fermion formalism to the Kitaev honeycomb lattice model. We show that both the Toric Code phase (the A phase) and the gapless phase of this model (the B ph…
Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking
F. J. Burnell, Steven H. Simon, J. K. Slingerland
We describe a family of phase transitions connecting phases of differing non-trivial topological order by explicitly constructing Hamiltonians of the Levin-Wen[PRB 71, 045110] type…