Quantum Hall wave functions on the torus

Journal Article · Sat Mar 15 04:00:00 EDT 2008 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.77.125321· OSTI ID:21143120

Hermanns, M; Bergholtz, E J; Hansson, T H; Karlhede, A ^[1]; Suorsa, J ^[2]

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1. Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm (Sweden)
2. Laboratory of Physics, Helsinki University of Technology, FIN-02015 HUT (Finland)

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 disk geometry.

• OSTI ID: 21143120
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 12 Vol. 77; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL INVARIANCE
HALL EFFECT
QUANTUM FIELD THEORY
WAVE FUNCTIONS