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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 503-535 |
| Number of pages | 33 |
| Journal | Communications In Mathematical Physics |
| Volume | 285 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 2009 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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