Symmetry breaking in Laughlin's state on a cylinder

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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34 pages, 5 figures. A few explanations added

Scientific paper

10.1007/s00220-008-0576-4

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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