Quantum Critical Behaviour in a Graphene-like Model
| dc.creator | Hands, Simon | |
| dc.creator | Strouthos, Costas | |
| dc.date | 2008-06-30 | |
| dc.date.accessioned | 2026-07-07T12:14:51Z | |
| dc.date.available | 2026-07-07T12:14:51Z | |
| dc.description | We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling limit we identify a critical number of flavors N_fc=4.8(2) separating an insulating from a conducting phase. This transition corresponds to the location of a quantum critical point, and we use a fit to the equation of state for the chiral order parameter to estimate the critical exponents. Next we simulate N_f=2 corresponding to real graphene, and approximately locate a transition from strong to weak coupling behaviour. Strong correlations are evident in the weak-coupling regime. | |
| dc.description | 14 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0806.4877 | |
| dc.identifier | http://arxiv.org/abs/0806.4877 | |
| dc.identifier | Phys.Rev.B78:165423,2008 | |
| dc.identifier | doi:10.1103/PhysRevB.78.165423 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211337 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Quantum Critical Behaviour in a Graphene-like Model | |
| dc.type | text |