Spin correlations and phase diagram of the perturbed Kitaev model

Details Spin correlations and phase diagram of the perturbed Kitaev model Spin correlations and phase diagram of the perturbed Kitaev model

2011-01-07

arxiv.org/abs/1101.1388v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pgs., 3 figs, v1

Scientific paper

We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged power-law behavior in the presence of such perturbations. We substantiate our result by a study of the phase diagram of the Kitaev model augmented by a loop term and perturbed by an Ising term, within a RVB mean-field theory. We estimate the stability of the spin-liquid phase against such perturbations and show that this model exhibits both confinement-deconfinement transitions from spin liquid to antiferromagnetic/spin-chain/ferromagnetic phases as well as topological quantum phase transitions between gapped and gapless spin liquid phases.

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