Dispersion of a single flux pair (odd-parity sector) for the FM (a) and AFM (b) Kitaev model for four representative perturbations indicated with black diamonds in panels (c) and (d). (c),(d) Boundaries where the single flux-pair excitation becomes soft at the wave vectors Q indicated by the colors.

Dispersion of a single flux pair (odd-parity sector) for the FM (a) and AFM (b) Kitaev model for four representative perturbations indicated with black diamonds in panels (c) and (d). (c),(d) Boundaries where the single flux-pair excitation becomes soft at the wave vectors Q indicated by the colors.

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We compute the low-energy excitation spectrum and the dynamical spin structure factor of the Kitaev-Heisenberg-Gamma model through a variational approach based on the exact fractionalized excitations of the pure Kitaev honeycomb model. This novel approach reveals the physical reason for the asymmetric stability of the Kitaev spin liquid phases arou...

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Context 1
... see in the next section, a (bosonic) bound state between a single flux pair and a matter fermion can become gapless for a lower strength of the perturbations. While more details of the instability analysis are presented in the next section, here we aim to provide a qualitative understanding of the stability of the FM or AFM Kitaev spin liquid. Fig. 7 (c) and (d) show the boundaries in the J − Γ space where the single flux-pair spectrum becomes gapless. According to this analysis, the AFM Kitaev spin liquid is more fragile against the inclusion of a Heisenberg term, while the FM Kitaev spin liquid is more fragile against the inclusion of a Gamma term. Both results are entirely consistent with ...
Context 2
... for negative Gamma interaction, multiple bands of bound states are formed and the lowest energy band has a quasi-flat dispersion. This is a direct consequence of the flat lowest energy band of a single-flux pair for the AFM Kitaev model with Γ < 0 [see Fig. 7 (b)]. For J < 0.0145|K|, the bound state becomes soft at six incommensurate wave-vectors related by the C 6 symmetry of H. These wave vectors are located on the paths that connect the M points of the Brillouin zone with the zone center or Γ point. For instance, one of these wave vectors is Q = (0, 4πq/ √ 3a) with 0 < q < 0.35. The six ...

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Article
Full-text available
We compute the low-energy excitation spectrum and the dynamical spin structure factor of the Kitaev-Heisenberg-Gamma model through a variational approach based on the exact fractionalized excitations of the pure Kitaev honeycomb model. This novel approach reveals the physical reason for the asymmetric stability of the Kitaev spin liquid phases arou...