Spin wave theory of a one-dimensional generalized Kitaev model

2020/07/15 by Wang Yang, Alberto Nocera, Ian Affleck · 13 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Ferromagnetism #Geometry #Homogeneous space #Mathematical physics #Mathematics #Order (exchange) #Perovskite Materials and Applications #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Spin wave #Symmetry (geometry) #Symmetry breaking #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.102.134419

published in Physical review. B./Physical review. B 102(13) (American Physical Society) · 28 pages, 16 figures

arxiv created 2020/07/15 · openalex publication_date 2020/10/14 · arxiv updated 2020/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 N'eel ordered phase, a phase with O_h\ensuremath→D₃ symmetry breaking, and ``D₃-breaking I, II'' phases which both break D₃ symmetries albeit in different ways, where O_h 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.

Citations

• Finite-temperature phase diagram of the Heisenberg-Kitaev model
• Density-matrix algorithms for quantum renormalization groups
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for α−RuCl3 and Na2IrO3
• Ultralow-Temperature Thermal Conductivity of the Kitaev Honeycomb Magnet α−RuCl3 across the Field-Induced Phase Transition