Tuning into the Kitaev spin liquid phase:A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings

Abstract

We study a spin model on honeycomb lattice with two types of Heisenberg exchange couplings, $J$ and $\tilde{J}$, where $J$ is for the conventional spin and and $\tilde{J}$ for rotated spin. When $\tilde{J}=0$, this is the conventional Heisenberg model. When J=0, the system is either in a stripy antiferromagnetic order($\tilde{J}<0$, ferromagnetic for rotated spin) or a zig-zag antiferromagnetic order ($\tilde{J}>0$, antiferromagnetic for rotated spin). The competition between two ferromagnetic orders or two antiferromagnetic orders induces Kitaev's spin liquid phase characterized by the exactly solvable Kitaev model ($J=\tilde{J}$). Our model can be applied to layered Mott insulators A${}_2$IrO${}_3$ (A=Li, Na). For a monolayer of Li${}_2$IrO${}_3$, we show that it is possible to tune the controlling parameter into the Kitaev spin liquid regime by a link-dependent Rashba spin-orbital coupling.

5 pages, four figures,references and acknowledgement added

References in corpus (12)

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Cited by in corpus (11)

• Quantum Spin Liquid States
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Interacting topological insulators: a review
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Emergent orbital magnetization in Kitaev quantum magnets
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Dynamic Surface Modification due to Effusion of Na in Na${}_2$IrO${}_3$