Mutual Chern-Simons Landau-Ginzburg theory for continuous quantum phase transition of Z(2) topological order

作者：Kou Su Peng^*; Yu Jing; Wen Xiao Gang

来源：Physical Review B, 2009, 80(12): 125101.

DOI：10.1103/PhysRevB.80.125101

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(2) topologically ordered state. The TQPT is not induced by spontaneous symmetry breaking. Instead the Z(2) topological order is broken down by the condensation of Z(2) charged quasiparticles. By generalizing the hierarchy theory of fractional quantum Hall effect to Z(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.

• 出版日期2009-9
• 单位北京师范大学