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.
| Original language | English |
|---|---|
| Article number | 325302 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 26 |
| Issue number | 32 |
| DOIs | |
| Publication status | Published - 2014 Aug 13 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Materials Science(all)
Cite this
Impurity cyclotron resonance of anomalous Dirac electrons in graphene. / Kim, S. C.; Yang, Sung Ryul; Macdonald, A. H.
In: Journal of Physics Condensed Matter, Vol. 26, No. 32, 325302, 13.08.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Impurity cyclotron resonance of anomalous Dirac electrons in graphene
AU - Kim, S. C.
AU - Yang, Sung Ryul
AU - Macdonald, A. H.
PY - 2014/8/13
Y1 - 2014/8/13
N2 - 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.
AB - 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.
KW - cyclotron resonance
KW - grapheme
KW - optical conductivity
UR - http://www.scopus.com/inward/record.url?scp=84904808600&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904808600&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/26/32/325302
DO - 10.1088/0953-8984/26/32/325302
M3 - Article
AN - SCOPUS:84904808600
VL - 26
JO - Journal of physics. Condensed matter : an Institute of Physics journal
JF - Journal of physics. Condensed matter : an Institute of Physics journal
SN - 0953-8984
IS - 32
M1 - 325302
ER -