Quantum Hall wave functions on the torus

M. Hermanns, J. Suorsa, E. J. Bergholtz, T. H. Hansson, A. Karlhede

Published 2007-11-29, updated 2008-03-20Version 2

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. $\nu = 4/11$. 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.