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arXiv · 1212.4109

Topological Phase Transitions in the Golden String-Net Model

M. D. Schulz·S. Dusuel·K. P. Schmidt·J. Vidal
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Abstract

We examine the zero-temperature phase diagram of the two-dimensional Levin-Wen string-net model with Fibonacci anyons in the presence of competing interactions. Combining high-order series expansions around three exactly solvable points and exact diagonalizations, we find that the non-Abelian doubled Fibonacci topological phase is separated from two nontopological phases by different second-order quantum critical points, the positions of which are computed accurately. These trivial phases are separated by a first-order transition occurring at a fourth exactly solvable point where the ground-state manifold is infinitely many degenerate. The evaluation of critical exponents suggests unusual universality classes.

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BibTeXRIS

M. D. Schulz, S. Dusuel, K. P. Schmidt, J. Vidal. 2013-04-03. Topological Phase Transitions in the Golden String-Net Model. https://doi.org/10.1103/physrevlett.110.147203

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