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.

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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).

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