Zero temperature phase diagram of the Kitaev model.
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 x 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.
Nash
Charles
C
Department of Mathematical Physics, NUIM, Maynooth, Kildare, Ireland. cnash@thphys.nuim.ie
O'Connor
Denjoe
D