Exact results of the quantum phase transition for the topological order
Quantum Physics
2007-09-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0709.2276,
title = {Exact results of the quantum phase transition for the topological order},
author = {Jing Yu and Su-Peng Kou and Xiao-Gang Wen},
journal= {arXiv preprint arXiv:0709.2276},
year = {2007}
}
Comments
10 pages, 4 figures