Coulomb impurity problem of graphene in strong coupling regime in magnetic fields

S. C. Kim, Sung Ryul Yang

Research output: Contribution to journalArticle


We investigate the Coulomb impurity problem of graphene in strong coupling limit in the presence of magnetic fields. When the strength of the Coulomb potential is sufficiently strong the electron of the lowest energy boundstate of the n = 0 Landau level may fall to the center of the potential. To prevent this spurious effect the Coulomb potential must be regularized. The scaling function for the inverse probability density of this state at the center of the impurity potential is computed in the strong coupling regime. The dependence of the computed scaling function on the regularization parameter changes significantly as the strong coupling regime is approached.

Original languageEnglish
Pages (from-to)8238-8242
Number of pages5
JournalJournal of Nanoscience and Nanotechnology
Issue number10
Publication statusPublished - 2015 Oct 1



  • Coulomb impurity
  • Dirac electron
  • Graphene
  • Magnetic field

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Chemistry(all)
  • Materials Science(all)
  • Bioengineering
  • Biomedical Engineering

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