Model anisotropic quantum Hall states

R. Z. Qiu, F. D.M. Haldane, Xin Wan, Kun Yang, Su Yi

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


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 multibody Hamiltonians, and explicitly illustrate the existence of geometric degree of freedom 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.

Original languageEnglish (US)
Article number115308
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - Mar 15 2012

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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