Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

Abstract

We study a generic two-dimensional hopping model on a honeycomb lattice with strong spin-orbit coupling, without the requirement that the half-filled lattice be a Topological Insulator. For quarter-(or three-quarter) filling, we show that a state with a quantized Hall conductance generically arises in the presence of a Zeeman field of sufficient strength. We discuss the influence of Hubbard interactions and argue that spontaneous ferromagnetism (which breaks time-reversal) will occur, leading to a quantized anomalous Hall effect.

4 pages, 3 figures

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Cited by in corpus (5)

• Effective Theory of Floquet Topological Transitions
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Quarter-filled Kane-Mele Hubbard model: Dirac half-metals
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls