The Effect of phonon focusing on the mutual drag of electrons and phonons and the electrical resistance of potassium
Kuleyev I. G.1, Kuleyev I. I.1
1M.N. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

The effect influence of elastic energy anisotropy on the mutual drag of electrons and phonons and the electrical resistance of potassium crystals at low temperatures have investigated. We have analyzed the momentum exchange between the electron and three phonon flows corresponding to three branches of the vibrational spectrum in the hydrodynamic approximation. The actual mechanisms of phonon momentum relaxation have taken into account: scattering at sample boundaries, dislocations, and in the processes of phonon-phonon transfer. It have shown that in the limiting case of strong mutual drag of electrons and phonons, the electrical resistance will be much lower than that given by the Bloch-Gruneisen theory, and the phonon and electron drift velocities are close and they are determined by the total phonon relaxation rate in resistive scattering processes. In the opposite case, when resistive scattering processes dominate for phonons and the phonon system remains in equilibrium, then the electrical resistance follows the Bloch-Gruneisen theory. In this case, the drift velocities of all modes are different and much less than the electron drift velocity. Keywords: electrical resistance, elastic anisotropy, electron-phonon relaxation.
  1. R.N. Gurzhi, A.I. Kopeliovich. UFN 133, 33 (1981). (in Russian)
  2. I.G. Lang, S.T. Pavlov. ZhETF 63, 1495 (1972). (in Russian)
  3. I.G. Kuleyev. FTT 42, 1952 (2000). (in Russian)
  4. L.E. Gurevich, I.Ya. Korenblit. FTT 6, 856 (1962). (in Russian)
  5. F. Bloch. Zs. Phys. 59, 208 (1930)
  6. E. Gruneisen. Ann. Phys. 40, 5, 543 (1941)
  7. A. Sommerfeld, H. Bete. Elektronen Theorie der Mettale. Handbuch der Physik. Bd. 24/2 (1934)
  8. A.H. Wilson. The Theory of Metals. Cambridge (1953)
  9. J. Zyman. Electrons and Phonons. Oxford, N. Y. (1960)
  10. F.J. Blatt. Physics of electron conductivity in solids. Mcgraw-hill book company (1968)
  11. J. Zyman. Principles of the theory of solids. Cambridge University Press (1972)
  12. A.I. Anselm. Vvedenie v teoriyu poluprovodnikov. Nauka, M. (1978) 616 p. (in Russian)
  13. I.I. Kuleyev, I.G. Kuleyev. ZhETF 156, 56 (2019). (in Russian)
  14. I.I. Kuleyev, I.G. Kuleyev. J. Phys.: Condens Matter 31, 375701 (2019)
  15. I.I. Kuleyev, I.G. Kuleyev. FMM 83, 83 (2021). (in Russian)
  16. R. Fletcher. Phys. Rev. B 36, 3042 (1987)
  17. I.G. Kuleyev, I.I. Kuleyev, S.M. Bakharev, V.V. Ustinov. Fokusirovka fononov i fononny transport v monokristallicheskikh nanostrukturakh. Izd-vo UMTs UPI, Ekaterinburg (2018). 256 p. (in Russian)
  18. I.I. Kuleyev, I.G. Kuleyev. FMM 121, 1011 (2020). (in Russian)
  19. J.M. Zyman. Phil. Mag. 4, 371 (1959)
  20. I.G. Kuleyev, I.I. Kuleyev. Chin. J. Phys. 72, 351 (2021)
  21. J.W. Ekin, B.W. Maxfield. Phys Rev. B 4, 4215 (1971)
  22. T.C. Chi. J. Phys. Chem. Ref. Data 8, 339 (1979)
  23. V.P. Silin. Vvedenie v kineticheskuyu teoriyu gazov. Nauka, M. (1971). (in Russian)
  24. H.M. Bikin, I.I. Lyapilin. Neravnovesnaya termodinamika i fizicheskaya kinetika. UrO RAN, Ekaterinburg (2009). (in Russian)
  25. G. Ryopke. Neravnovesnaya statisticheskaya mekhanika. Mir, M. (1990). (in Russian)
  26. F.I. Fedorov. Teoriya uprugikh voln v kristallakh. Nauka, M. (1965). (in Russian)
  27. I.G. Kuleyev, I.I. Kuleyev. FTT 49, 3, 422 (2007). (in Russian)
  28. B. Truel, C. Elbaum, B.B. Chick. Ultrasonic methods in solid state physics. Academic Press, N. Y.--London (1969)
  29. Yu.P. Kardona M. Osnovy fiziki poluprovodnikov. Fizmatlit, M. (2002). (in Russian)
  30. C. Herring, E. Vogt. Phys. Rev. 101, 944 (1956)
  31. R. Berman. Teploprovodnost tverdykh tel. Mir, M. (1979). (in Russian)
  32. D. Gugan. Proc. R. Soc. Lond. A 325, 223 (1971)
  33. J.S. Dugdale. D. Gugan, Proc. R. Soc. Lond. A 270, 186 (1962)
  34. M. Kaveh, N. Wiser. Phys. Rev. B 9, 4053 (1974)
  35. F.J. Blatt, P.A. Schroeder, C.L. Foiles, D. Greig. Thermoelectric power of metals. Plenum press, N. Y.--London (1976)
  36. P. Trofimenkoff, J.W. Ekin. Phys. Rev. B 4, 2392(1971).

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.


Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245