PMID: 16486612Feb 21, 2006Paper

Detecting topological order through a continuous quantum phase transition

Physical Review Letters
Ying Ran, Xiao-Gang Wen


We study a continuous quantum phase transition that breaks a Z2 symmetry. We show that the transition is described by a new critical point which does not belong to the Ising universality class, despite the presence of well-defined symmetry-breaking order parameter. The new critical point arises since the transition not only breaks the Z2 symmetry, it also changes the topological or quantum order in the two phases across the transition. We show that the new critical point can be identified in experiments by measuring critical exponents. So measuring critical exponents and identifying new critical points is a way to detect new topological phases and a way to measure topological or quantum orders in those phases.


Feb 15, 1985·Physical Review. B, Condensed Matter·F D Haldane, E H Rezayi
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