Kitaev model and dimer coverings on the honeycomb lattice

Details Kitaev model and dimer coverings on the honeycomb lattice Kitaev model and dimer coverings on the honeycomb lattice

2010-05-27

arxiv.org/abs/1005.5103v2

J. Stat. Mech. P08010 (2010)

Physics

Condensed Matter

Other Condensed Matter

8 pages, 9 figures, published version

Scientific paper

10.1088/1742-5468/2010/08/P08010

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.

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