Quarter-filled honeycomb lattice with a quantized Hall conductance

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

doi:10.1103/PhysRevB.85.073103

Quarter-filled honeycomb lattice with a quantized Hall conductance

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

Department of Physics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	073103
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	85
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevB.85.073103
State	Published - 9 Feb 2012

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.85.073103

Cite this

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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.",

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AB - 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.

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DO - 10.1103/PhysRevB.85.073103

M3 - مقالة

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JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

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Quarter-filled honeycomb lattice with a quantized Hall conductance

Abstract

All Science Journal Classification (ASJC) codes

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