Phase diagrams of Kitaev models for arbitrary magnetic field orientations

نویسندگان

چکیده

The Kitaev model is an exactly solvable quantum spin within the language of constrained real fermions. In spite numerous studies for magnetic fields along special orientations, there a limited amount knowledge on complete field-angle characterization, which can provide valuable information existence fractionalized excitations. For this purpose, we first study pure ferromagnetic and antiferromagnetic models arbitrary external field directions via mean-field theory, showing that are many topological phases with different (or zero) Chern numbers, depending strength orientations. However, realistic description candidate materials, edge-sharing octahedra paradigm, requires additional coupling terms, including large off-diagonal term $\mathrm{\ensuremath{\Gamma}}$ possible anisotropic corrections ${\mathrm{\ensuremath{\Gamma}}}_{p}$. It therefore not sufficient to rely properties bare as basis observed thermal Hall-conductivity signals, understanding these extended response demanded. Starting from zero-field phase diagram $\mathrm{K}\text{\ensuremath{-}}\mathrm{\ensuremath{\Gamma}}\text{\ensuremath{-}}{\mathrm{\ensuremath{\Gamma}}}_{p}$ models, identify, besides liquid phase, zigzag, phases, well unusual Kitaev(-$\mathrm{\ensuremath{\Gamma}}$) phase. orientations provides remarkably rich diagram. parameter range just above critical where zigzag suppressed, intermediate region suppressed energy gaps substantial fractionalization. To comply our findings experiments, also reproduce asymmetry in extent specifically two $\ensuremath{\theta}=\ifmmode\pm\else\textpm\fi{}{60}^{o}$ respect normal plane honeycomb lattice.

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ژورنال

عنوان ژورنال: Physical review research

سال: 2022

ISSN: ['2643-1564']

DOI: https://doi.org/10.1103/physrevresearch.4.043024