Topological Phase Transitions in the Golden String-Net Model

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.

7 pages, 4 figures, published version

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Cited by in corpus (41)

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• Boson Condensation in Topologically Ordered Quantum Liquids
• Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit
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• Topological view of quantum tunneling coherent destruction