Kitaev model and dimer coverings on the honeycomb lattice

Kamfor M, Dusuel S, Vidal J, Schmidt KP (2010)

Publication Status: Published

Publication Type: Journal article

Publication year: 2010

Journal

Journal of Statistical Mechanics-Theory and Experiment Institute of Physics: Hybrid Open Access

Publisher: IOP PUBLISHING LTD

DOI: 10.1088/1742-5468/2010/08/P08010

Abstract

We consider an extension of the Kitaev honeycomb model based on arbitrary dimer coverings satisfying matching rules. We focus on three different dimer coverings having the smallest unit cells for which we calculate the ground-state phase diagram. We also study one- and two-vortex properties for these coverings in the Abelian phases and show that vortex-vortex interactions can be attractive or repulsive. These qualitative differences are confirmed analytically by high-order perturbative expansions around the isolated-dimer limit. Similarities and differences with the original Kitaev honeycomb model are discussed.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE) 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)

How to cite

APA:

Kamfor, M., Dusuel, S., Vidal, J., & Schmidt, K.P. (2010). Kitaev model and dimer coverings on the honeycomb lattice. Journal of Statistical Mechanics-Theory and Experiment. https://doi.org/10.1088/1742-5468/2010/08/P08010

MLA:

Kamfor, Michael, et al. "Kitaev model and dimer coverings on the honeycomb lattice." Journal of Statistical Mechanics-Theory and Experiment (2010).

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