Mutual Chern-Simons Landau-Ginzburg theory for continuous quantum phase transition of Z2 topological order
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Kou-2009-Mutual Chern-Simons.pdf
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Author(s)
Kou, Su-Peng
Yu, Jing
Wen, Xiao-Gang
Date Issued
September 2009
Journal
Physical Review B
Publisher
American Physical Society
Citation
Kou, Su-Peng , Jing Yu, and Xiao-Gang Wen. “Mutual Chern-Simons Landau-Ginzburg theory for continuous quantum phase transition of Z2 topological order.” Physical Review B 80.12 (2009): 125101. © 2009 The American Physical Society.
Version
Final published version
Abstract
In this paper, we develop an effective mutual Chern-Simons Landau-Ginzburg (MCSLG) theory to describe the continuous topological quantum phase transition (TQPT). In particular, we consider the TQPT between a spin-polarized phase (a state without topological order) and a Z[subscript 2] topologically ordered state. The TQPT is not induced by spontaneous symmetry breaking. Instead the [subscript 2]topological order is broken down by the condensation of [subscript 2] charged quasiparticles. By generalizing the hierarchy theory of fractional quantum Hall effect to [subscript 2] topological order, we show that the TQPT belongs to the universal class of three-dimensional Ising phase transition. In the end, we applied the MCSLG theory to the toric code model.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevB.80.125101
