Symmetry breaking in Laughlin's state on a cylinder

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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.
34 pages, 5 figures. A few explanations added

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Mesoscale and Nanoscale Physics, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/212913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1467
 http://arxiv.org/abs/0711.1467
 Commun. Math. Phys. 285, 503-535 (2009)
 doi:10.1007/s00220-008-0576-4

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arXiv