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arXiv · 1201.1983

Model anisotropic quantum Hall states

R. -Z. Qiu·F. D. M. Haldane·Xin Wan·Kun Yang·Su Yi
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Abstract

Model quantum Hall states including Laughlin, Moore-Read and Read-Rezayi states are generalized into appropriate anisotropic form. The generalized states are exact zero-energy eigenstates of corresponding anisotropic two- or multi-body Hamiltonians, and explicitly illustrate the existence of geometric degrees of in the fractional quantum Hall effect. These generalized model quantum Hall states can provide a good description of the quantum Hall system with anisotropic interactions. Some numeric results of these anisotropic quantum Hall states are also presented.

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R. -Z. Qiu, F. D. M. Haldane, Xin Wan, Kun Yang, Su Yi. 2012-01-10. Model anisotropic quantum Hall states. https://doi.org/10.1103/physrevb.85.115308

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