Transport Equations Treating Phonon Drag Effect in a Strong Magnetic Field

Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 24)


The first theoretical work on the phonon drag transport in quantizing magnetic fields was made by GUREVICH and NEDLIN [1] who derived a set of coupled transport equations for electron and phonon distribution functions by using a diagramatic method proposed by KONSTANTINOV and PEREL′ [2]. Similar equations were derived by FISCHER [3] using a truncation approximation for the equation of motion of Green’s functions and by SUGIHARA [4] with a phenomenological argument. These authors all neglected the renormalization of phonon frequency due to the electron-phonon interaction. On the other hand, recent theoretical investigations [5–7] indicate that the electronic density correlation function in strong magnetic fields has singularities as a function of the wave vector because of the one-dimensional character of the electronic motion. This fact means that a phonon with a particular wave vector is expected to be softened due to the electron-phonon interaction. Such a softening of the phonon frequency will lead to an anomalous dependence of the phonon-drag thermopower on the magnetic field and temperature.


Strong Magnetic Field Phonon Frequency Phonon Softening Phonon Drag Vertex Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. E. Gurevich and G. M. Nedlin, Soviet Phys.-JETP, 1961, 13, 568.MATHGoogle Scholar
  2. 2.
    O. V. Konstantinov and V. I. Perel’, Soviet Phys.-JETP, 1961, 12, 142.MathSciNetGoogle Scholar
  3. 3.
    S. Fischer, Z. Phys., 1965, 184, 325.CrossRefADSGoogle Scholar
  4. 4.
    K. Sugihara, J. Phys. Soc. Jpn., 1969, 27, 356.CrossRefADSMathSciNetGoogle Scholar
  5. 5.
    H. Fukuyama, Solid State Commun., 1978, 26, 783.CrossRefADSGoogle Scholar
  6. 6.
    R. Gerhardts and P. Schlottmann, Z. Phys. B, 1979, 34, 349.CrossRefADSGoogle Scholar
  7. 7.
    U. Paulus and J. Hajdu, Solid State Commun., 1976, 20, 687.CrossRefADSGoogle Scholar
  8. 8.
    R. Kubo, J. Phys. Soc. Jpn., 1957, 12, 570.CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    A. A. Abrikosov, L. P. Gorkov and I. Ye. Dzyaloshinskii, Quantum Field Theoretical Method in Statistical Physics, 1965, Pergamon.Google Scholar
  10. 10.
    Y. Ono, J. Phys. Soc. Jpn., 1973, 35, 1280.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Y. Ono
    • 1
  1. 1.Department of PhysicsUniversity of TokyoBunkyo-ku TokyoJapan

Personalised recommendations