Stability of Impurities with Coulomb Potential in Graphene with Homogeneous Magnetic Field

Abstract

Given a 2-dimensional no-pair Weyl operator with a point nucleus of charge Z, we show that a homogeneous magnetic field does not lower the critical charge beyond which it collapses.

J. Math. Phys. (in press)

References in corpus (3)

• The electronic properties of graphene
• The Coulomb impurity problem in graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene

Cited by in corpus (4)

• Coexistence of electron whispering-gallery modes and atomic collapse states in graphene WSe2 heterostructure quantum dots
• Magnetic field dependence of the atomic collapse state in graphene
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• On the Maximal Excess Charge of the Chandrasekhar-Coulomb Hamiltonian in Two Dimensions