2011/04/28 by Oleksandr Gamayun, O. V. Gamayun, É. V. Gorbar +2 · 38 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Condensed matter physics #Coulomb #Diamond and Carbon-based Materials Research #Electron #Gapless playback #Graphene #Graphene research and applications #Instability #Magnetic field #Physics #Quantum electrodynamics #Quantum mechanics #Supercritical fluid #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.83.235104
published in Physical Review B 83(23) (American Physical Society) · 10 pages, 4 figures; to be published in PRB
arxiv created 2011/04/28 · openalex publication_date 2011/06/03 · arxiv updated 2011/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that a magnetic field dramatically affects the problem of supercritical charge in graphene, making any charge in gapless theory supercritical. The cases of a radially symmetric potential well and a Coulomb center in a homogeneous magnetic field are considered. The local density of states and polarization charge density are calculated in the first order of perturbation theory. It is argued that the magnetically induced instability of the supercritical Coulomb center can be considered as a quantum-mechanical counterpart of the magnetic catalysis phenomenon in graphene.