Tensor-network approach to phase transitions in string-net models

doi:10.1103/PhysRevB.100.245125

Tensor-network approach to phase transitions in string-net models

2019-12-16

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Laurens Vanderstraeten

DOI：10.1103/PhysRevB.100.245125

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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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Tensor-network approach to phase transitions in string-net models

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