English

Quantum Hall wave functions on the torus

Mesoscale and Nanoscale Physics 2009-11-13 v2

Abstract

We present explicit expressions for a large set of hierarchy wave functions on the torus. Included are the Laughlin states, the states in the positive Jain series, and recently observed states at e.g. ν=4/11\nu = 4/11. The techniques we use constitute a nontrivial extension of the conformal field theory methods developed earlier to construct the corresponding wave functions in disc geometry.

Cite

@article{arxiv.0711.4684,
  title  = {Quantum Hall wave functions on the torus},
  author = {M. Hermanns and J. Suorsa and E. J. Bergholtz and T. H. Hansson and A. Karlhede},
  journal= {arXiv preprint arXiv:0711.4684},
  year   = {2009}
}
R2 v1 2026-06-21T09:48:34.609Z