2012/12/31 by M. D. Schulz, Marc Daniel Schulz, S. Dusuel +5
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.110.147203
published as Phys. Rev. Lett. 110, 147203 (2013) · 7 pages, 4 figures, published version
openalex publication_date 2013/04/02 · arxiv created 2013/04/03 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.