One-Dimensional Theory of the Quantum Hall System
| dc.creator | Bergholtz, Emil J. | |
| dc.creator | Karlhede, Anders | |
| dc.date | 2005-09-16 | |
| dc.date | 2005-11-21 | |
| dc.date.accessioned | 2026-07-07T06:41:48Z | |
| dc.date.available | 2026-07-07T06:41:48Z | |
| dc.description | We consider the lowest Landau level on a torus as a function of its circumference $L_1$. When $L_1\to 0$, the ground state at general rational filling fraction is a crystal with a gap--a Tao-Thouless state. For filling fractions $ν=p/(2pm+1)$, these states are the limits of Laughlin's or Jain's wave functions describing the gapped quantum Hall states when $L_1\to \infty$. For the half-filled Landau level, there is a transition to a Fermi sea of non-interacting neutral dipoles, or rather to a Luttinger liquid modification thereof, at $L_1\sim5$ magnetic lengths. This state is a version of the Rezayi-Read state, and develops continuously into the state that is believed to describe the observed metallic phase as $L_1\to \infty$. Furthermore, the effective Landau level structure that emerges within the lowest Landau level follows from the magnetic symmetries. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0509434 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0509434 | |
| dc.identifier | J. Stat. Mech. (2006) L04001 | |
| dc.identifier | doi:10.1088/1742-5468/2006/04/L04001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101801 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | One-Dimensional Theory of the Quantum Hall System | |
| dc.type | text |