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- W2465436081 abstract "Graphene Landau levels have discrete energies consisting zero energy chiral states and non-zero energy states with mixed chirality. Each Landau level splits into discrete energies when a localized potential is present. A simple scaling analysis suggests that a localized potential can act as a strong perturbation, and that it can be even more singular in graphene than in ordinary two-dimensional systems of massful electrons. Parabolic, Coulomb, and Gaussian potentials in graphene may have anomalous boundstates whose probability density has a sharp peak inside the potential and a broad peak of size magnetic length l outside the potential. The n = 0 Landau level with zero energy has only one anomalous state while the n = ±1 Landau levels with non-zero energy have two (integer quantum number n is related to the quantized Landau level energies). These anomalous states can provide a new magnetospectroscopic feature in impurity cyclotron resonances of graphene. In the present work we investigate quantitatively the conditions under which the anomalous states can exist. These results may provide a guide in searching for anomalous states experimentally." @default.
- W2465436081 created "2016-07-22" @default.
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- W2465436081 date "2015-10-01" @default.
- W2465436081 modified "2023-10-18" @default.
- W2465436081 title "Stability of Anomalous States of a Local Potential in Graphene" @default.
- W2465436081 doi "https://doi.org/10.1166/jnn.2015.11251" @default.
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- W2465436081 hasPublicationYear "2015" @default.
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