Exact results of the quantum phase transition for the topological order

Details Exact results of the quantum phase transition for the topological order Exact results of the quantum phase transition for the topological order

2007-09-14

arxiv.org/abs/0709.2276v1

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase transition (QPT) between a spin-polarized phase and a topological ordered state with the string-net condensation. The QPT is not induced by spontaneous symmetry breaking and there are no conventional Landau-type local order parameters. Instead the string-like non-local order parameters are introduced to describe the QPT. In particular, the duality character between the open-string and closed string for the QPT are explored.

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