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arXiv · 0711.4684

Quantum Hall wave functions on the torus

M. Hermanns·J. Suorsa·E. J. Bergholtz·T. H. Hansson·A. Karlhede
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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. $ν= 4/11$. 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.

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M. Hermanns, J. Suorsa, E. J. Bergholtz, T. H. Hansson, A. Karlhede. 2008-03-20. Quantum Hall wave functions on the torus. https://doi.org/10.1103/physrevb.77.125321

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