Model anisotropic quantum Hall states

Details Model anisotropic quantum Hall states Model anisotropic quantum Hall states

2012-01-10

arxiv.org/abs/1201.1983v1

Phys. Rev. B 85, 115308 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 5 figures

Scientific paper

10.1103/PhysRevB.85.115308

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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