Stability of Anomalous States of a Local Potential in Graphene
- Authors
- Kim, S. C.; Jeong, Y. H.; Yang, S. -R. Eric
- Issue Date
- 10월-2015
- Publisher
- AMER SCIENTIFIC PUBLISHERS
- Keywords
- Graphene; Dirac Electron; Magnetic Field; A Localized Potential; Anomalous State
- Citation
- JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY, v.15, no.10, pp.8263 - 8266
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY
- Volume
- 15
- Number
- 10
- Start Page
- 8263
- End Page
- 8266
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/92313
- DOI
- 10.1166/jnn.2015.11251
- ISSN
- 1533-4880
- 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.
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