
Proceedings Paper
Infrared of thin film graphene in a magnetic field and the Hall effectFormat | Member Price | Non-Member Price |
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Paper Abstract
The infrared absorption of a mono-atomic thin film of carbon, called graphene, in a magnetic field
is studied. Its interpretation in terms of the square root of the product of the cyclotron frequency and
the Fermi energy is examined. The interpretation in terms of the Dirac points which are at the centre
of the positive and negative energies, is examined and found not to fit well. The spin properties are
used to obtain the energy levels correctly. A set of fractional values are tabulated which give the
correct Hall effect plateaus. The energy levels arising from the Landau levels are usually of the type
of a harmonic oscillator. In the present problem, the harmonic oscillator type levels are just like the
equally spaced spin levels in which the number of levels is not limited by 2S+1. The oscillator type
series and the proper spin properties are sufficient to get the correct fractions. The flux quantization
is needed to get the plateaus in the Hall effect. We are thus able to obtain the correct fractions
without the use of relativistic effects. The theory presented is thus non-relativistic. The normal
infrared absorption arises from the equally spaced energy levels so that there is only one line. The
additional lines occur due to spin properties.
Paper Details
Date Published: 3 October 2008
PDF: 8 pages
Proc. SPIE 7155, Ninth International Symposium on Laser Metrology, 71552F (3 October 2008); doi: 10.1117/12.814589
Published in SPIE Proceedings Vol. 7155:
Ninth International Symposium on Laser Metrology
Chenggen Quan; Anand Asundi, Editor(s)
PDF: 8 pages
Proc. SPIE 7155, Ninth International Symposium on Laser Metrology, 71552F (3 October 2008); doi: 10.1117/12.814589
Show Author Affiliations
Keshav N. Shrivastava, Univ. of Malaya (Malaysia)
Published in SPIE Proceedings Vol. 7155:
Ninth International Symposium on Laser Metrology
Chenggen Quan; Anand Asundi, Editor(s)
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