Perturbed Kitaev model: Excitation spectrum and long-ranged spin correlations

A. V. Lunkin, K. S. Tikhonov, M. V. Feigel'man

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We developed general approach to the calculation of power-law infrared asymptotics of spin-spin correlation functions in the Kitaev honeycomb model with different types of perturbations. We have shown that in order to find these correlation functions, one can perform averaging of some bilinear forms composed out of free Majorana fermions, and we presented the method for explicit calculation of these fermionic densities. We demonstrated how to derive an effective Hamiltonian for the Majorana fermions, including the effects of perturbations. For specific application of the general theory, we have studied the effect of the Dzyaloshinskii-Moriya anisotropic spin-spin interaction; we demonstrated that it leads, already in the second order over its relative magnitude D/K, to a power-law spin correlation functions, and calculated dynamical spin structure factor of the system. We have shown that an external magnetic field h in presence of the DM interaction, opens a gap in the excitation spectrum of magnitude Δ∝Dh.

Original languageEnglish
Pages (from-to)130-137
Number of pages8
JournalJournal of Physics and Chemistry of Solids
Publication statusPublished - May 2019
Externally publishedYes


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