Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field

Details Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field

2007-10-11

arxiv.org/abs/0710.2292v1

AnnalsPhys.323:2132-2146,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, no figures

Scientific paper

10.1016/j.aop.2007.11.005

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.

Affiliated with

Also associated with

No associations

Rating

Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-542089