Phase diagram of the strongly correlated Kane-Mele-Hubbard model

Abstract

We explore the phase diagram of the strongly correlated Hubbard model with intrinsic spin orbit coupling on the honeycomb lattice. We obtain the low energy effective model describing the spin degree of freedom. We study the resulting model within the Schwinger boson and Schwinger fermion approaches. The Schwinger boson approach gives the boundary between the spin liquid phase and the magnetically ordered phases, Neel order and incommensurate Neel order. We find that increasing the strength of the spin orbit coupling, narrows the width of the spin liquid region. The Schwinger fermion approach sheds further light on the nature of the spin liquid phase. We obtain three different candidates for the spin liquid phase within the mean field approximation which are gapless spin liquid, topological Mott insulator, and the chiral spin liquid phases. We argue that the gauge fluctuations and the instanton effect may suppress the first two spin liquids, while the chiral spin liquid is stable against gauge fluctuations due to its nontrivial topology.

10 pages, 4 figures

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• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Ultrafast Control of Spin Interactions in Honeycomb Antiferromagnetic Insulators
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System
• Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
• Topological spin torque emerging in classical-spin systems with different time scales
• Nature of continuous phase transitions in interacting topological insulators
• Collective modes in a Dirac insulator with short range interactions
• The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids