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cond-mat.str-el2010★ 89 cited
Phase transitions in topological lattice models via topological symmetry breaking
F. J. Burnell, Steven H. Simon, J. K. Slingerland
We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be ident…
cond-mat.str-el2010★ 61 cited
Space-Time Geometry of Topological phases
F. J. Burnell, Steven H. Simon
The 2+1 dimensional lattice models of Levin and Wen [PRB 71, 045110 (2005)] provide the most general known microscopic construction of topological phases of matter. Based heavily o…
cond-mat.str-el2010★ 59 cited
Wilson Line Picture of Levin-Wen Partition Functions
F. J. Burnell, Steven H. Simon
Levin and Wen [Phys. Rev. B 71, 045110 (2005)] have recently given a lattice Hamiltonian description of doubled Chern-Simons theories. We relate the partition function of these the…