Symmetry breaking in Laughlin's state on a cylinder
arXiv:0711.1467 · doi:10.1007/s00220-008-0576-4
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.
34 pages, 5 figures. A few explanations added