Impurity cyclotron resonance of anomalous Dirac electrons in graphene
- Authors
- Kim, S. C.; Yang, S-R Eric; MacDonald, A. H.
- Issue Date
- 13-8월-2014
- Publisher
- IOP PUBLISHING LTD
- Keywords
- cyclotron resonance; graphene; optical conductivity
- Citation
- JOURNAL OF PHYSICS-CONDENSED MATTER, v.26, no.32
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF PHYSICS-CONDENSED MATTER
- Volume
- 26
- Number
- 32
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/97685
- DOI
- 10.1088/0953-8984/26/32/325302
- ISSN
- 0953-8984
- Abstract
- We have investigated a new feature of impurity cyclotron resonances common to various localized potentials of graphene. A localized potential can interact with a magnetic field in an unexpected way in graphene. It can lead to formation of anomalous boundstates that have a sharp peak with a width R in the probability density inside the potential and a broad peak of size magnetic length l outside the potential. We investigate optical matrix elements of anomalous states and find that they are unusually small and depend sensitively on the magnetic field. The effect of many-body interactions on their optical conductivity is investigated using a self-consistent time-dependent Hartree-Fock approach. For a completely filled Landau level we find that an excited electron-hole pair, originating from the optical transition between two anomalous impurity states, is nearly uncorrelated with other electron-hole pairs, although it displays substantial exchange self-energy effects. This absence of correlation is a consequence of a small vertex correction in comparison to the difference between renormalized transition energies computed within the one electron-hole pair approximation. However, an excited electron-hole pair originating from the optical transition between a normal and an anomalous impurity state can be substantially correlated with other electron-hole states with a significant optical strength.
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