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Quantum theory of cyclotron resonance lineshape for an electron-impurity system in two dimensions

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  • Prasad, M.
  • Fujita, S.

Abstract

Based on Kubo's current correlation function formula and Fujita's proper connected diagram technique, a quantum theory of cyclotron resonance lineshape for a two-dimensional electron-impurity system is developed. Equations for the cyclotron resonance linewidths ΓN and the frequency shifts ΔN, associated with the electron transitions between Landau states N and N + 1, are derived by making use of very high resonant-magnetic-field approximation. Equations for ΓN are solved and calculated for the gaussian, Coulomb and screened Coulomb interactions. In the limit of short range interaction our results are in complete agreement with the theory of Ando and Uemura. For an unscreened Coulomb interaction finite results for the widths ΓN=1N+1Ze2κφ12h̷n121 are obtained. Frequency shifts from the present theory vanish for any form of the electron-impurity potentials. For a short range interaction ΓN ∞ n121B12, n1 and B being the impurity concentration and the magnetic field, respectively. These results (ΔN = 0 and ΓN ∞ n121B12) are in good agreement with the experimental data on the inversion layer electrons of the MOS.

Suggested Citation

  • Prasad, M. & Fujita, S., 1978. "Quantum theory of cyclotron resonance lineshape for an electron-impurity system in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(1), pages 1-16.
    • Handle: RePEc:eee:phsmap:v:91:y:1978:i:1:p:1-16
    DOI: 10.1016/0378-4371(78)90053-5
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