Topological phase transitions in the golden string-net model

Marc Daniel Schulz, Sébastien Dusuel, Kai Phillip Schmidt, Julien Vidal

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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.

Original languageEnglish (US)
Article number147203
JournalPhysical review letters
Issue number14
StatePublished - Apr 2 2013


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