Critical behavior of reduced QED4,3 and dynamical fermion gap generation in graphene

A. V. Kotikov and S. Teber
Phys. Rev. D 94, 114010 – Published 12 December 2016; Erratum Phys. Rev. D 99, 119902 (2019)

Abstract

The dynamical generation of a fermion gap in graphene is studied at the infra-red Lorentz-invariant fixed point where the system is described by an effective relativistic-like field theory: reduced QED4,3 with N four-component fermions (N=2 for graphene), where photons are (3+1) dimensional and mediate a fully retarded interaction among (2+1)-dimensional fermions. A correspondence between reduced QED4,3 and QED3 allows us to derive an exact gap equation for QED4,3 up to next-to-leading order. Our results show that a dynamical gap is generated for α>αc, where 1.03<αc<1.08 in the case N=2 or for N<Nc where Nc is such that αc and takes the values 3.24<Nc<3.36. The striking feature of these results is that they are in good agreement with values found in models with instantaneous Coulomb interaction (including lattice simulations). At the fixed point, α=1/137αc, and the system is therefore in the semimetallic regime in accordance with experiments.

  • Received 7 October 2016

DOI:https://doi.org/10.1103/PhysRevD.94.114010

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsCondensed Matter, Materials & Applied Physics

Erratum

Authors & Affiliations

A. V. Kotikov1 and S. Teber2,3

  • 1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 2Sorbonne Universités, UPMC Université Paris 06, UMR 7589, LPTHE, F-75005 Paris, France
  • 3CNRS, UMR 7589, LPTHE, F-75005 Paris, France

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Issue

Vol. 94, Iss. 11 — 1 December 2016

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