Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer
| dc.creator | Jansen, S. | |
| dc.creator | Lieb, E. H. | |
| dc.creator | Seiler, R. | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:21:13Z | |
| dc.date.available | 2026-07-07T09:21:13Z | |
| dc.description | We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a ``quantum polymer'', reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles. | |
| dc.description | 11 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0802.2208 | |
| dc.identifier | http://arxiv.org/abs/0802.2208 | |
| dc.identifier | phys. stat. sol. (b) 245, 439 - 446 (2008) | |
| dc.identifier | doi:10.1002/pssb.200743516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154943 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer | |
| dc.type | text |