Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model

Abstract

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of the system and find two antiferromagnetic orders beyond a critical Hubbard U which increases with the ratio t'/t . For $t^{\prime }$ approaching to $t$, the semimetal (SM) transforms to a U(1) SL and then to the Kitaev Z_2 SL as U increases. In a wide middle range of t'/t, the latter is replaced by a U(1) SL to $SU(2)$ SL transition. The physical properties of the stable SL phases are discussed.

10 pages, 9 figures

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Cited by in corpus (4)

• Interacting topological insulators: a review
• Spin waves and stability of zigzag order in the Hubbard model with spin-dependent hopping terms - Application to the honeycomb lattice compounds $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers