期刊
PHYSICAL REVIEW B
卷 100, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.100.245125
关键词
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资金
- Research Foundation Flanders
- ERC Grant QUTE [647905]
- ERC Grant ERQUAF [715861]
- ERC Grant QTFLAG
- European Research Council (ERC) [647905, 715861] Funding Source: European Research Council (ERC)
We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate such as, e.g., a nontrivial perimeter law for Wilson loops expectation values, and a natural order parameter detecting the breakdown of the topological phase. In the presence of a string tension, a quantum phase transition occurs between the topological phase and a trivial phase. We benchmark our approach for Z(2) string nets and capture the second-order phase transition which is well known from the exact mapping onto the transverse-field Ising model. More interestingly, for Fibonacci string nets, we obtain first-order transitions in contrast with previous studies but in qualitative agreement with mean-field results.
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