Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains

@misc{li2026renormalization,
  title = {{Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains}},
  author = {Jianxun Li and Chao Xu and Wang Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.03582},
  eprint = {2605.03582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.03582},
}

TY  - UNPB
TI  - Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains
AU  - Jianxun Li
AU  - Chao Xu
AU  - Wang Yang
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2605.03582
UR  - https://arxiv.org/abs/2605.03582
AB  - Based on a renormalization-group (RG) analysis, we study the bosonization formulas for spin-S Kitaev-Gamma and Kitaev-Heisenberg-Gamma chains in the parameter regime K<0, Γ>0, and J>0, with S being a half-odd integer. We find that the effects associated with the breaking of emergent continuous symmetries in the bosonization formulas scale as 1/S in the large-S limit, in qualitative agreement with density-matrix renormalization-group (DMRG) results for Kitaev-Gamma chains. For Kitaev-Heisenberg-Gamma chains, the low-energy excitations are characterized by incommensurate gapless wave vectors, and symmetry analysis yields ten independent bosonization coefficients, five of which are predicted by the RG analysis to be independent of the Heisenberg coupling up to linear order. Our results provide useful input for determining magnetic ordering tendencies in two-dimensional Kitaev spin models within a quasi-one-dimensional approach.
ER  -