Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
| dc.creator | Gorbar, E. V. | |
| dc.creator | Gusynin, V. P. | |
| dc.date | 2007-10-11 | |
| dc.date.accessioned | 2026-07-07T11:53:31Z | |
| dc.date.available | 2026-07-07T11:53:31Z | |
| dc.description | We study symmetry breaking and gap generation for fermions in the 2D space of constant negative curvature (the Lobachevsky plane) in an external covariantly constant magnetic field in a four-fermion model. It is shown that due to the magnetic and negative curvature catalysis phenomena the critical coupling constant is zero and there is a symmetry breaking condensate in the chiral limit even in free theory. We analyze solutions of the gap equation in the cases of zero, weak, and strong magnetic fields. As a byproduct we calculate the density of states and the Hall conductivity for noninteracting fermions that may be relevant for studies of graphene. | |
| dc.description | 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0710.2292 | |
| dc.identifier | http://arxiv.org/abs/0710.2292 | |
| dc.identifier | AnnalsPhys.323:2132-2146,2008 | |
| dc.identifier | doi:10.1016/j.aop.2007.11.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204564 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field | |
| dc.type | text |