2007/11/30 by Sabine Jansen, S. Jansen, Elliott H. Lieb +3
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #cond-mat.mes-hall #math-ph #math.MP
paper · pdf · doi:10.1007/s00220-008-0576-4
published as Commun. Math. Phys. 285, 503-535 (2009) · 34 pages, 5 figures. A few explanations added
openalex publication_date 2008/08/06 · arxiv created 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.