Quantum critical scaling in magnetic field near the Dirac point in graphene
| dc.creator | Herbut, Igor F. | |
| dc.creator | Roy, Bitan | |
| dc.date | 2008-02-18 | |
| dc.date | 2008-06-29 | |
| dc.date.accessioned | 2026-07-07T13:16:13Z | |
| dc.date.available | 2026-07-07T13:16:13Z | |
| dc.description | Motivated by the recent measurement of the activation energy at the quantum Hall state at the filling factor f=1 in graphene we discuss the scaling of the interaction-induced gaps in vicinity of the Dirac point with the magnetic field. The gap at f=1 is shown to be bounded from above by E(1)/C, where E(n) are the Landau level energies and C = 5.985 + O(1/N) is a universal number. The universal scaling functions are computed exactly for a large number of Dirac fermions N. We find a sublinear dependence of the gap at the laboratory magnetic fields for realistic values of short-range repulsion between electrons, and in quantitative agreement with observation. | |
| dc.description | 5 RevTex pages, 3 figures; added comments and references; cosmetic changes (this, published, version) | |
| dc.identifier | https://arxiv.org/abs/0802.2546 | |
| dc.identifier | http://arxiv.org/abs/0802.2546 | |
| dc.identifier | Phys. Rev. B vol. 77, 245438 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.245438 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230721 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Quantum critical scaling in magnetic field near the Dirac point in graphene | |
| dc.type | text |