2008/03/31 by Vitor M. Pereira, Valeri N. Kotov, A. H. Castro Neto · 1 citation
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.78.085101
published as Phys. Rev. B 78, 085101 (2008). · Revised and extended version
arxiv created 2008/06/23 · openalex publication_date 2008/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the problem of Coulomb field-induced charging of the ground state in a system of two-dimensional (2D) massive Dirac particles---gapped graphene. As in its 3D QED counterpart, the critical Coulomb coupling is renormalized to higher values compared to the massless case. We find that in gapped graphene, a different supercritical regime is possible, where the screening charge is comparable to the impurity charge; thus, leading to suppression of the Coulomb field at nanometer scales. We corroborate this with a numerical solution of the tight-binding problem on the honeycomb lattice.