Quantum Hall wave functions on the torus

Details Quantum Hall wave functions on the torus Quantum Hall wave functions on the torus

2007-11-29

arxiv.org/abs/0711.4684v2

Phys. Rev. B 77, 125321 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.77.125321

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.

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