English

Magnetic Catalysis in Graphene Effective Field Theory

High Energy Physics - Lattice 2016-12-28 v3 Strongly Correlated Electrons

Abstract

We report on the first observation of magnetic catalysis at zero temperature in a fully nonperturbative simulation of the graphene effective field theory. Using lattice gauge theory, a nonperturbative analysis of the theory of strongly-interacting, massless, (2+1)-dimensional Dirac fermions in the presence of an external magnetic field is performed. We show that in the zero-temperature limit, a nonzero value for the chiral condensate is obtained which signals the spontaneous breaking of chiral symmetry. This result implies a nonzero value for the dynamical mass of the Dirac quasiparticle. This in turn has been posited to account for the quantum-Hall plateaus that are observed at large magnetic fields.

Keywords

Cite

@article{arxiv.1607.03137,
  title  = {Magnetic Catalysis in Graphene Effective Field Theory},
  author = {Carleton DeTar and Christopher Winterowd and Savvas Zafeiropoulos},
  journal= {arXiv preprint arXiv:1607.03137},
  year   = {2016}
}

Comments

5 pages, 6 figures