/ hep-th arXiv:1610.00934


Critical behaviour of reduced QED$_{4,3}$ and dynamical fermion gap generation in graphene


Kotikov, A.V. (Dubna, JINR) ; Teber, S. (UPMC, Paris (main))

Pages: 7

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 QED$_{4,3}$ 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 QED$_{4,3}$ and QED$_3$ allows us to derive an exact gap equation for QED$_{4,3}$ up to next-to-leading order. Our results show that a dynamical gap is generated for $\alpha > \alpha_c$ where $1.03 < \alpha_c < 1.08$ in the case $N=2$ or for $N < N_c$ where $N_c$ is such that $\alpha_c \to \infty$ and takes the values $3.24 < N_c < 3.36$. The striking feature of these results is that they are in good agreement with values found in models with instantaneous Coulomb interaction. At the fixed point: $\alpha = 1/137 \ll \alpha_c$, and the system is therefore in the semi-metallic regime in accordance with experiments.

Web-Page: http://inspirehep.net/record/1489356/files/arXiv:1610.00934.pdf


Note: 7 pages

Total numbers of views: 145
Numbers of unique views: 70
 Record created 2016-11-09, last modified 2016-11-09


External link:
Download fulltext
Fulltext
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)