Stabilization and modulation of the topological magnetic phase with a $Z_2$-vortex lattice in the Kitaev-Heisenberg honeycomb model: The key role of the third-nearest-neighbor interaction

Abstract

The topologically nontrivial magnetic phase with a $Z_2$-vortex (Z${}_2$V) lattice is investigated by simulation in the Kitaev-Heisenberg honeycomb model expanded by considering the second- and third-nearest-neighbor Heisenberg interactions ($J_{H2}$ and $J_{H3}$). On the parameter region of the Z${}_2$V phase, a gradual modulation of vortex density is observed, together with a transition from single-Z${}_2$V to triple-Z${}_2$V state driven by the variation of frustration. Additionally, $Z_2$ vortices are arranged in different manners on the whole honeycomb structure for these two types of Z${}_2$V states. Moreover, topologically equivalent states are revealed to exist in single-Z${}_2$V dominant and triple-Z${}_2$V dominant styles on different parameter points, which can be controlled to switch between each other without energy consumption. It is worth noting that $J_{H3}$ plays a key role in expanding the Z${}_2$V phase, and also in stabilizing the single-Z${}_2$V state.

arXiv comment14 pages, 6 figures

References in corpus (31)

• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Finite-temperature phase diagram of the Heisenberg-Kitaev model
• From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Lattice symmetries and regular states in classical frustrated antiferromagnets
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• Spiral order in the honeycomb iridate Li2IrO3
• Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet
• Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
• Unfolding of vortices into topological stripes in a multiferroic material
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions

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