Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking

Dusuel S, Schmidt KP, Vidal J, Zaffino RL (2008)

Publication Status: Published

Publication Type: Journal article

Publication year: 2008

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 78

Journal Issue: 12

DOI: 10.1103/PhysRevB.78.125102

Abstract

We analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit containing Abelian anyons and the isolated-triangle limit. In the former case, we derive the low-energy effective theory and discuss the role played by multiplaquette interactions. In this phase, we also compute the spin-spin correlation functions for any vortex configuration. In the isolated-triangle limit, we show that the effective theory is, at lowest nontrivial order, the Kitaev honeycomb model at the isotropic point. We also compute the next-order correction which opens a gap and yields non-Abelian anyons.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Lycée Louis-Thuillier FR France (FR) University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC) FR France (FR)

How to cite

APA:

Dusuel, S., Schmidt, K.P., Vidal, J., & Zaffino, R.L. (2008). Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking. Physical Review B, 78(12). https://doi.org/10.1103/PhysRevB.78.125102

MLA:

Dusuel, Sebastien, et al. "Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking." Physical Review B 78.12 (2008).

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