2008/06/30 by Valeri N. Kotov, Vitor M. Pereira, Bruno Uchoa · 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.str-el
paper · pdf · doi:10.1103/physrevb.78.075433
published as Physical Review B 78, 075433 (2008) · 6 pages, 4 figures; expanded version
arxiv created 2008/08/04 · openalex publication_date 2008/08/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the distribution of vacuum polarization charge induced by a Coulomb impurity in massive graphene. By analytically computing the polarization function, we show that the charge density is distributed in space in a nontrivial fashion and on a characteristic length-scale set by the effective Compton wavelength. The density crosses over from a logarithmic behavior below this scale to a power-law variation above it. Our results in the continuum limit are confirmed by explicit diagonalization of the corresponding tight-binding model on a finite-size lattice. Electron-electron interaction effects are also discussed.