Dissipation and criticality in the lowest Landau level of graphene
| dc.creator | Jia, Xun | |
| dc.creator | Goswami, Pallab | |
| dc.creator | Chakravarty, Sudip | |
| dc.date | 2008-04-11 | |
| dc.date.accessioned | 2026-07-07T09:50:21Z | |
| dc.date.available | 2026-07-07T09:50:21Z | |
| dc.description | The lowest Landau level of graphene is studied numerically by considering a tight-binding Hamiltonian with disorder. The Hall conductance $σ_\mathrm{xy}$ and the longitudinal conductance $σ_\mathrm{xx}$ are computed. We demonstrate that bond disorder can produce a plateau-like feature centered at $ν=0$, while the longitudinal conductance is nonzero in the same region, reflecting a band of extended states between $\pm E_{c}$, whose magnitude depends on the disorder strength. The critical exponent corresponding to the localization length at the edges of this band is found to be $2.47\pm 0.04$. When both bond disorder and a finite mass term exist the localization length exponent varies continuously between $\sim 1.0$ and $\sim 7/3$. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0804.1975 | |
| dc.identifier | http://arxiv.org/abs/0804.1975 | |
| dc.identifier | Phys. Rev. Lett. 101, 036805 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.036805 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164910 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Dissipation and criticality in the lowest Landau level of graphene | |
| dc.type | text |