Universal phase transitions in topological lattice models
- đ¤ Speaker: Dr Fiona Burnell (All Souls, Oxford)
- đ Date & Time: Thursday 10 June 2010, 14:15 - 15:45
- đ Venue: TCM Seminar Room, Cavendish Laboratory
Abstract
It has been known for several years that it is possible to construct exactly solvable lattice models in 2+1 dimensions which realize a wide range of `topological’ phases, which can be distinguished by their different `topological orders’ characterizing the exotic statistics of the excitations which such phases exhibit. I will focus on a particular class of these models, and describe a general prescription of how to tune the Hamiltonian through a condensation transition, resulting in a new topological phase with non-trivial topological order. An intriguing feature of these transitions is that, for all of the models in the class I will discuss, the dynamics of the phase transition is that of the transverse field Ising model.
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Thursday 10 June 2010, 14:15-15:45