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arXiv · 0711.1467

Symmetry breaking in Laughlin's state on a cylinder

Sabine Jansen·Elliott H. Lieb·Ruedi Seiler
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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.

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Sabine Jansen, Elliott H. Lieb, Ruedi Seiler. 2008-08-15. Symmetry breaking in Laughlin's state on a cylinder. https://doi.org/10.1007/s00220-008-0576-4

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