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arXiv · 1904.12791

Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices

Man Hon Yau·C. A. R. Sá de Melo
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Abstract

We discuss the emergence of topological color insulators in optical lattices as quantum phases of SU(3) ultra-cold neutral fermions. We construct the Chern matrix and classify all insulating phases in terms of three topological invariants: the charge-charge, the color-charge and the color-color Chern numbers. Our classification transcends that of SU(2) systems which require only the charge-charge (charge-Hall) and spin-charge (spin-Hall) Chern numbers. To illustrate the topological classification of the insulating phases of SU(3) fermions, we construct phase diagrams of chemical potential and color-orbit parameter versus color-flip fields for fixed magnetic flux ratio.

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Man Hon Yau, C. A. R. Sá de Melo. 2019-04-29. Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices. https://arxiv.org/abs/1904.12791

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