Model anisotropic quantum Hall states

R.-Z. Qiu, F. D. M. Haldane, Xin Wan, Kun Yang, Su Yi
2012 Physical Review B  
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
more » ... esults of these anisotropic quantum Hall states are also presented.
doi:10.1103/physrevb.85.115308 fatcat:raaqsggbhnaxxekxefy3mflciq