Ising anyons with a string tension
Schulz MD, Dusuel S, Misguich G, Schmidt KP, Vidal J (2014)
Publication Status: Published
Publication Type: Journal article
Publication year: 2014
Journal
Publisher: AMER PHYSICAL SOC
Book Volume: 89
Journal Issue: 20
DOI: 10.1103/PhysRevB.89.201103
Abstract
We consider the string-net model on the honeycomb lattice for Ising anyons in the presence of a string tension. This competing term induces a nontrivial dynamics of the non-Abelian anyonic quasiparticles and may lead to a breakdown of the topological phase. Using high-order series expansions and exact diagonalizations, we determine the robustness of this doubled Ising phase, which is found to be separated from two gapped phases. An effective quantum dimer model emerges in the large tension limit, giving rise to two different translation symmetry-broken phases. Consequently, we obtain four transition points, two of which are associated with first-order transitions whereas the two others are found to be continuous and provide examples of recently proposed Bose condensation for anyons.
Authors with CRIS profile
Involved external institutions
University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC)
France (FR)
French Alternative Energies and Atomic Energy Commission (CEA)
France (FR)
Lycée Saint-Louis
France (FR)
Technische Universität Dortmund
Germany (DE)
France (FR)
French Alternative Energies and Atomic Energy Commission (CEA)
France (FR)
Lycée Saint-Louis
France (FR)
Technische Universität Dortmund
Germany (DE)
How to cite
APA:
Schulz, M.D., Dusuel, S., Misguich, G., Schmidt, K.P., & Vidal, J. (2014). Ising anyons with a string tension. Physical Review B, 89(20). https://doi.org/10.1103/PhysRevB.89.201103
MLA:
Schulz, Marc Daniel, et al. "Ising anyons with a string tension." Physical Review B 89.20 (2014).
BibTeX: Download