2012/01/10 by R. -Z. Qiu, F. D. M. Haldane, Xin Wan +2 · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.85.115308
published as Phys. Rev. B 85, 115308 (2012) · 10 pages, 5 figures
arxiv created 2012/01/10 · arxiv updated 2012/03/29
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.