Local Density of States around an Impurity in a Strong Magnetic Field. I. a Two-Dimensional System with Parabolic Dispersion

Abstract

Bound states around an impurity are investigated for a two dimensional electron system in a strong magnetic field. Long-range Coulomb potential and related potentials are considered. Schrödinger equation is solved numerically to obtain the bound states. The energy and wave function of these bound states are indirectly observed by the scanning tunneling spectroscopy as local density of states (LDOS). Theoretically obtained LDOS is compared with experiment. Reasonable agreement is obtained.

10 pages, 13 figures, submitted to J. Phys. Soc. Japan

References in corpus (3)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Real-Space Imaging of Alternate Localization and Extension of Quasi Two-Dimensional Electronic States at Graphite Surfaces in Magnetic Fields

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• Localized Distributions of Quasi Two-Dimensional Electronic States near Defects Artificially Created at Graphite Surfaces in Magnetic Fields