Symmetry breaking in Laughlin's state on a cylinder

S. Jansen, E. H. Lieb, R. Seiler

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)503-535
Number of pages33
JournalCommunications In Mathematical Physics
Volume285
Issue number2
DOIs
StatePublished - Jan 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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