Sabine Jansen, Elliott H. Lieb, Ruedi Seiler
Published 2007-11-09, updated 2008-08-15Version 3
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.
Comments: 34 pages, 5 figures. A few explanations added
Journal: Commun. Math. Phys. 285, 503-535 (2009)
Symmetry breaking and anomalous conductivity in a double moiré superlattice
Stability and Symmetry Breaking in Metal Nanowires
Symmetry breaking in a mechanical resonator made from a carbon nanotube
![QR code for arXiv:0711.1467 [cond-mat.mes-hall]](http://oss.arxitics.com/images/favicon.svg)