Effects of electron-electron interactions in suspended graphene

C. Popovici; C. S. Fischer; L. von Smekal

Effects of electron-electron interactions in suspended graphene

Strongly Correlated Electrons 2013-02-12 v1 High Energy Physics - Phenomenology

Authors: C. Popovici , C. S. Fischer , L. von Smekal

Abstract

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical coupling constant $\alpha_c=2.85$ which is larger than the bare coupling $\alpha_0=2.19$ of suspended graphene. This suggests that at low energies the running of the Fermi velocity prevents the emergence of a gapped phase. Our calculation is thus in agreement with the experimental observation that suspended graphene remains in the semimetal phase.

Keywords

suspended graphene electron-electron interactions dynamical gap generation Dyson-Schwinger equations Fermi velocity renormalization critical coupling constant semimetal phase

Cite

@article{arxiv.1302.2365,
  title  = {Effects of electron-electron interactions in suspended graphene},
  author = {C. Popovici and C. S. Fischer and L. von Smekal},
  journal= {arXiv preprint arXiv:1302.2365},
  year   = {2013}
}

Comments

8 pages, 2 figures. Talk given at Xth Quark Confinement and the Hadron Spectrum, October 8--12, 2012 TUM Campus Garching, Munich, Germany

Effects of electron-electron interactions in suspended graphene

Abstract

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