Spin wave theory of one-dimensional generalized Kitaev model

Abstract

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 Néel ordered phase, a phase with $O_h\to D_3$ symmetry breaking, and "$D_3$-breaking I, II" phases which both break $D_3$ symmetries albeit in different ways, where $O_h$ is the full octahedral group and $D_3$ 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.

arXiv comment28 pages, 16 figures

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Cited by in corpus (9)

• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models