Communications in Mathematical Physics

, Volume 285, Issue 2, pp 503–535 | Cite as

Symmetry Breaking in Laughlin’s State on a Cylinder

  • S. JansenEmail author
  • E. H. Lieb
  • R. Seiler


We investigate Laughlin’s fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficiently thin cylinders. At filling factor 1/p, the period is p times the period of the filled lowest Landau level. The proof uses a connection with one-dimensional polymer systems and discrete renewal equations.


Normalization Constant Renewal Equation Vandermonde Determinant Lower Landau Level Thin Cylinder 
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© The Author(s) 2008

Authors and Affiliations

  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany
  2. 2.Department of MathematicsPrinceton UniversityPrincetonUSA

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