Quarter-filled honeycomb lattice with a quantized Hall conductance

Ganpathy Murthy, Efrat Shimshoni, R. Shankar, H. A. Fertig

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5 Scopus citations

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.

Original languageEnglish
Article number073103
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number7
DOIs
StatePublished - 9 Feb 2012

Funding

FundersFunder number
National Science Foundation

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