The Zero Temperature Phase Diagram of the Kitaev Model

Abstract

We show that the zero temperature phase diagram of the vortex free sector of the Kitaev model is in one to one correspondence with that of the classical dimer model on the same lattice. We find that the model generically has three distinct phases. On a honeycomb lattice with a $3\times 3$ fundamental domain all three phases are accessible. As the couplings are varied there are two distinct transitions. The new transition is one to a gapped phase that opens up in the interior of the $B$ phase.

4 pages prl style with 6 figures

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• Topological phase transitions driven by gauge fields in an exactly solvable model
• Kitaev model and dimer coverings on the honeycomb lattice
• Manipulating unpaired Majorana fermions in a quantum spin chain
• Exact results for the star lattice chiral spin liquid
• Compass and Kitaev models -- Theory and Physical Motivations
• Exotic phase diagram of a topological quantum system
• Dimer geometry, amoebae and a vortex dimer model