Global symmetries of quantum Hall systems: lattice description
| dc.creator | Pryadko, Leonid P. | |
| dc.date | 1997-02-25 | |
| dc.date.accessioned | 2026-07-07T09:11:34Z | |
| dc.date.available | 2026-07-07T09:11:34Z | |
| dc.description | I analyze non-local symmetries of finite-size Euclidean 3D lattice Chern-Simons models in the presence of an external magnetic field and non-zero average current. It is shown that under very general assumptions the particle-vortex duality interchanges the total Euclidean magnetic flux Phi/(2 Pi) and the total current I in a given direction, while the flux attachment transformation increases the flux in a given direction by the corresponding component of the current, Phi -> Phi+4 Pi I, independently of the disorder. In the language of 2+1 dimensional models, appropriate for describing quantum Hall systems, these transformations are equivalent to the symmetries of the phase diagram known as the Correspondence Laws, and the non-linear current-voltage mapping between mutually dual points, recently observed near the quantum Hall liquid-insulator transitions. | |
| dc.description | 14 pages, 3 ps figures included | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9702211 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9702211 | |
| dc.identifier | Phys. Rev. B56, 6810-22 (1997). | |
| dc.identifier | doi:10.1103/PhysRevB.56.6810 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151722 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Global symmetries of quantum Hall systems: lattice description | |
| dc.type | text |