2011/02/28 by Andreas Scholz, John Schliemann
Engineering · Materials Science · Physics and Astronomy · #Advanced Memory and Neural Computing #Carbon Nanotubes in Composites #Graphene research and applications #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.83.235409
published as Phys. Rev. B 83, 235409 (2011) · 11 pages, 3 figures, 1 table
openalex publication_date 2011/06/09 · arxiv created 2011/06/15 · arxiv updated 2011/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present analytical expressions for the current-current correlation function in graphene for arbitrary frequency, wave vector, doping, and band gap induced by a mass term. In the static limit, we analyze the Landau (orbital) and Pauli magnetization, as well as the Lindhard correction, which describes Friedel and Ruderman-Kittel-Kasuya-Yosida oscillations. In the nonrelativistic limit, we compare our results with the situation of the usual two-dimensional electron gas (2DEG). We find that the orbital magnetic susceptibility (OMS) in gapped graphene is smeared out on an energy scale given by the inverse mass. The nonrelativistic limit of the plasmon dispersion and the Lindhard function reproduces the results of the 2DEG. The same conclusion is true for the Pauli part of the susceptibility. The peculiar band structure of gapped graphene leads to pseudospin paramagnetism and thus to a special form of the OMS.