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arXiv · 1801.02625

Ising versus $SU(2)_2$ string-net ladder

J. Vidal
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Abstract

We consider the string-net model obtained from $SU(2)_2$ fusion rules. These fusion rules are shared by two different sets of anyon theories. In this work, we study the competition between the two corresponding non-Abelian quantum phases in the ladder geometry. A detailed symmetry analysis shows that the nontrivial low-energy sector corresponds to the transverse-field cluster model that displays a critical point described by the $so(2)_1$ conformal field theory. Other sectors are obtained by freezing spins in this model.

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J. Vidal. 2018-03-28. Ising versus $SU(2)_2$ string-net ladder. https://doi.org/10.1103/physrevb.97.125152

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