Topological Mott Insulators

Abstract

We consider extended Hubbard models with repulsive interactions on a Honeycomb lattice and the transitions from the semi-metal phase at half-filling to Mott insulating phases. In particular, due to the frustrating nature of the second-neighbor repulsive interactions, topological Mott phases displaying the quantum Hall and the quantum spin Hall effects are found for spinless and spinful fermion models, respectively. We present the mean-field phase diagram and consider the effects of fluctuations within the random phase approximation (RPA). Functional renormalization group analysis also show that these states can be favored over the topologically trivial Mott insulating states.

5 Pages, 4 figures

References in corpus (4)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Dynamic generation of spin orbit coupling
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice

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• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Theory of interacting electrons on the honeycomb lattice
• Universal phase diagrams for the quantum spin Hall systems
• Spin Charge Separation in the Quantum Spin Hall State
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Three-dimensional topological phase on the diamond lattice
• A Fractionalized Quantum Spin Hall Effect
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Magnetic field induced semimetal-to-canted-antiferromagnet transition on the honeycomb lattice