Quarter-filled honeycomb lattice with a quantized Hall conductance

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2012

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American Physical Society

Abstract

We study a generic two-dimensional hopping model on a honeycomb lattice with strong spin-orbit coupling, $\textit{without the requirement that the half-filled lattice be a topological insulator}$. 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.

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Murthy, G., Shimshoni, E., Shankar, R., & Fertig, H. A. (2012). Quarter-filled honeycomb lattice with a quantized Hall conductance. Physical Review B - Condensed Matter and Materials Physics, 85(7), 073103. http://dx.doi.org/10.1103/PhysRevB.85.073103

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© 2012 American Physical Society

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Article