Topological Phase Transitions in the Golden String-Net Model

Schulz MD, Dusuel S, Schmidt KP, Vidal J (2013)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Physical Review Letters American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 110

Journal Issue: 14

DOI: 10.1103/PhysRevLett.110.147203

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. DOI: 10.1103/PhysRevLett.110.147203

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Lycée Saint-Louis FR France (FR) University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC) FR France (FR) Technische Universität Dortmund DE Germany (DE)

How to cite

APA:

Schulz, M.D., Dusuel, S., Schmidt, K.P., & Vidal, J. (2013). Topological Phase Transitions in the Golden String-Net Model. Physical Review Letters, 110(14). https://doi.org/10.1103/PhysRevLett.110.147203

MLA:

Schulz, Marc Daniel, et al. "Topological Phase Transitions in the Golden String-Net Model." Physical Review Letters 110.14 (2013).

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