Supersymmetry and Correlated Electrons in Graphene Quantum Hall Effect
| dc.creator | Ezawa, Motohiko | |
| dc.date | 2006-09-24 | |
| dc.date.accessioned | 2026-07-07T08:49:07Z | |
| dc.date.available | 2026-07-07T08:49:07Z | |
| dc.description | We present a supersymmetric description of the quantum Hall effect (QHE) in graphene. The noninteracting system is supersymmetric separately at the so-called K and K' points of the Brillouin zone corners. Its essential consequence is that the energy levels and the Landau levels are different objects in graphene QHE. Each energy level has a four-fold degeneracy within the noninteracting theory. With the Coulomb interaction included, an excitonic gap opens in the zero-energy state, while each nonzero energy level splits into two levels since up-spin and down-spin electrons come from different Landau levels. We argue the emergence of the plateaux at $ν=\pm (4n-2)$ for small magnetic field $B$ and at $ν=0$, $\pm 1$, $\pm 2n$ for large $B$ with $n$ natural numbers. | |
| dc.description | 5 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0609612 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0609612 | |
| dc.identifier | Physica E 40, 269 (2007) | |
| dc.identifier | doi:10.1016/j.physe.2007.06.038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144184 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Supersymmetry and Correlated Electrons in Graphene Quantum Hall Effect | |
| dc.type | text |