Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice

Abstract

We calculate magnon dispersions and damping in the Kitaev-Heisenberg model with an off-diagonal exchange $\Gamma$ and isotropic third-nearest-neighbor interaction $J_3$ on a honeycomb lattice. This model is relevant to a description of the magnetic properties of iridium oxides $\alpha$-Li${}_2$IrO${}_3$ and Na${}_2$IrO${}_3$, and Ru-based materials such as $\alpha$-RuCl${}_3$. We use an unconventional parametrization of the spin-wave expansion, in which each Holstein-Primakoff boson is represented by two conjugate hermitian operators. This approach gives us an advantage over the conventional one in identifying parameter regimes where calculations can be performed analytically. Focusing on the parameter regime with the zigzag spin pattern in the ground state that is consistent with experiments, we demonstrate that one such region is $\Gamma =K>0$, where $K$ is the Kitaev coupling. Within our approach we are able to obtain explicit analytical expressions for magnon energies and eigenstates and go beyond the standard linear spin-wave theory approximation by calculating magnon damping and demonstrating its role in the dynamical structure factor. We show that the magnon damping effects in both Born and self-consistent approximations are very significant, underscoring the importance of non-linear magnon coupling in interpreting broad features in the neutron-scattering spectra.

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• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
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• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
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• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Phase diagrams and excitations of anisotropic $S=1$ quantum magnets on the triangular lattice
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Thermal Hall effect incorporating magnon damping in localized spin systems
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Nonlocal damping of spin waves in a magnetic insulator induced by normal, heavy, or altermagnetic metallic overlayer: A Schwinger-Keldysh field theory approach
• Interaction-induced nonlinear magnon transport in noncentrosymmetric magnets
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Quantum fluctuations in two-dimensional altermagnets
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Demystifying quantum escapism on the honeycomb lattice
• Field-induced magnon decays in dipolar quantum magnets
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets