In this work, we perform a combination of classical and spin wave analysis on the one-dimensional spin-S Kitaev-Heisenberg-Gamma model in the region of an antiferromagnetic Kitaev coupling. Four phases are found, including a N\'eel ordered phase, a phase with Oh→D3 symmetry breaking, and "D3-breaking I, II" phases which both break D3 symmetries albeit in different ways, where Oh is the full octahedral group and D3 is the dihedral group of order six. The lowest-lying spin wave mass is calculated perturbatively in the vicinity of the hidden SU(2) symmetric ferromagnetic point.
@article{arxiv.2007.07509,
title = {Spin wave theory of one-dimensional generalized Kitaev model},
author = {Wang Yang and Alberto Nocera and Ian Affleck},
journal= {arXiv preprint arXiv:2007.07509},
year = {2020}
}