Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-11-09
Commun. Math. Phys. 285, 503-535 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
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.
Jansen Sabine
Lieb Elliott H.
Seiler Ruedi
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