Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice

Abstract

We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev - Heisenberg model proposed for A2IrO3 (A=Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the random phase approximation (RPA) for four different ordered phases, observed in the parameter space of the model: antiferomagnetic, stripe, ferromagnetic, and zigzag phases. The Néel temperature and temperature dependence of the sublattice magnetization are compared with the experimental data on Na2IrO3.

9 pages, 9 figures, to be published in JETP

References in corpus (9)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Dynamics of Fractionalization in Quantum Spin Liquids
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Magnetic order and spin excitations in layered Heisenberg antiferromagnets with compass-model anisotropies

Cited by in corpus (6)

• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Rethinking $\alpha$-RuCl${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$