Symmetry breaking in Laughlin's state on a cylinder

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dc.creatorJansen, Sabine
dc.creatorLieb, Elliott H.
dc.creatorSeiler, Ruedi
dc.date2007-11-09
dc.date2008-08-15
dc.date.accessioned2026-07-07T12:19:53Z
dc.date.available2026-07-07T12:19:53Z
dc.descriptionWe 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.
dc.description34 pages, 5 figures. A few explanations added
dc.identifierhttps://arxiv.org/abs/0711.1467
dc.identifierhttp://arxiv.org/abs/0711.1467
dc.identifierCommun. Math. Phys. 285, 503-535 (2009)
dc.identifierdoi:10.1007/s00220-008-0576-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212913
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titleSymmetry breaking in Laughlin's state on a cylinder
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