Kavli Affiliate: Jing Wang
| First 5 Authors: Jing Wang, Wen-Sheng Zhao, Yue Hu, R. N. Costa Filho, Francois M. Peeters
| Summary:
The interplay between a magnetic field and the Coulomb potential from a
charged vacancy on the electron states in graphene is investigated within the
tight-binding model. The Coulomb potential removes locally Landau level
degeneracy, while the vacancy introduces a satellite level next to the normal
Landau level. These satellite levels are found throughout the positive energy
region, but in the negative energy region they turn into atomic collapse
resonances. Crossings between Landau levels with different angular quantum
number $m$ are found. Unlike the point impurity system in which an anticrossing
occurs between Landau levels of the same $m$, in this work anticrossing is
found between the normal Landau level and the vacancy induced level. The atomic
collapse resonance hybridize with the Landau levels. The charge at which the
lowest Landau level $m = -1, N = 1$ crosses increases $E = 0$ with enhancing
magnetic field. Landau level scaling anomaly occurs when the charge is larger
than the critical charge $betaapprox0.6$ and this critical charge is
independent of the magnetic field.
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