Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$

Abstract

We study the spin-wave excitations in $\alpha$-RuCl${}_3$ by the spin-wave theory. Starting from the five-orbital Hubbard model and the perturbation theory, we derive an effective isospin-$1/2$ model in the large Hubbard ($U$) limit. Based on the energy-band structure calculated from the first-principle method, we find that the effective model can be further reduced to the $K$-$\Gamma$ model containing a ferromagnetic nearest-neighbor (NN) Kitaev interaction ($K$) and a NN off-diagonal exchange interaction ($\Gamma$). With the spin-wave theory, we find that the $K$-$\Gamma$ model can give magnetic excitations which is consistent with the recent neutron scattering experiments.

12 pages, 7 figures

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Cited by in corpus (111)

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• Heisenberg-Kitaev physics in magnetic fields
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• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
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• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
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• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
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• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
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• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Scattering Signatures of Bond-Dependent Magnetic Interactions
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• Antiferromagnetic magnons from fractionalized excitations
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• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
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• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
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