Advertisement

Nonequilibrium Phonon Processes

  • P. Kocevar
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 52)

Abstract

The coupled systems of electrons (“e”) and phonons (“ph”) in a conducting solid will be shifted from their equilibrium distribution under the influence of an external electric field F. Obviously, the momentum and energy imparted to the carriers by the field cannot be dissipated through “normal” e-e, e-ph and ph-ph-collisions, which conserve the total momentum and energy of the e-ph-system. A steady state can only be established by momentum-and energy-loss mechanisms such as “Umklapp”-processes, in which momentum is transferred to the crystal as a whole, or by scattering at the crystal-boundaries, where momentum and energy, predominantly of the phonons, are dissipated into a surrounding “heat bath”. Consequently, the nonelectronic dissipation mechanisms for nonequilibrium phonons determine the possibility of time dependent, nonstationary phenomena and can also influence the details of the usually realized steady-state transport (Klemens, 1951; Kaveh and Wiser, 1972). Quite generally one has to expect effects of nonequilibrium of both the e-and ph-subsystem due to the mutual “dragging along” through collisions in any conventional transport experiment at sufficiently low temperatures in sufficiently pure and perfect materials: “phonon drag” by electrons in the lattice thermal conductivity, “phonon drag” of electrons in the electrical conductivity (Sommerfeld and Bethe, 1933; Ziman, 1960; Bailen, 1958; Kaveh and Wiser, 1974; Parrott, 1957) and both drag effects in the thermopower (Ziman, 1960; Geballe and Hull, 1954; Herring, 1958).

Keywords

External Electric Field Ultrasonic Attenuation Thermal Phonon Indium Antimonide Phonon Drag 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Alfaro, R. R., and Shapiro, S. L., 1971, Phys. Rev. Lett. 26:1247.ADSCrossRefGoogle Scholar
  2. Arizumi, T., Aoki, T., and Hayakawa, K., 1968, J. Phys. Soc. Jpn. 25:1361.ADSCrossRefGoogle Scholar
  3. Arora, V. K., and Miller, S. C., 1974, Phys. Rev. B10:688.ADSCrossRefGoogle Scholar
  4. Ascarelli, G., 1960, Phys. Rev. Lett. 5:367.ADSCrossRefGoogle Scholar
  5. Bailyn, M., 1958, Phys. Rev. 112:1587.MathSciNetADSMATHCrossRefGoogle Scholar
  6. Bauman, K., Kocevar, P., Kriechbaum, M., Kahlert, H., and Seeger, K., 1968, Proc. 9th Intern. Conf. Phys. Semicond., Moscow, p. 757.Google Scholar
  7. Beattie, A. R., 1978, Proc. 14th Intern. Conf. Phys. Semicond., Inst, of Phys., London, p. 343. Bodo, Z., Roesner, R., and Sebestyn, T., 1968, Proc. Intern. Conf. Phys. Semicond., Moscow, p. 686.Google Scholar
  8. Bron, W. E., and Grill, W., 1977, Phys. Rev. B16:5303,5315.Google Scholar
  9. Bron, W. E., and Grill. W., 1978, Phys. Rev. Lett. 40:1459.ADSCrossRefGoogle Scholar
  10. Bruya, W., 1971, Phys. Rev. B3:635.ADSCrossRefGoogle Scholar
  11. Cassiday, D. R., and Spector, H. N., 1974, J. Phys. Chem. Sol. 36:957.ADSCrossRefGoogle Scholar
  12. Conwell, E. M., 1964a, J. Phys. Chem. Sol. 25:593.ADSCrossRefGoogle Scholar
  13. Conwell, E. M., 1964b, Phys. Rev. 135:A814.ADSCrossRefGoogle Scholar
  14. Conwell, E. M., 1967, High Field Transport in Semiconductors, Academic Press, New York.Google Scholar
  15. Dynes, R. C., and Narayanamurti, V., 1972, Phys. Rev. B6:143.ADSCrossRefGoogle Scholar
  16. Dutoit, M., 1971, Phys. Rev. B3:453.MathSciNetADSGoogle Scholar
  17. Eisenmenger, W., and Dayem, A. H., 1967, Phys. Rev. Lett. 18:125ADSCrossRefGoogle Scholar
  18. Gadzhialiev, M. M., 1977, Sov. Phys. Semicond. 19:711.Google Scholar
  19. Geballe, T. H., and Hull, G. W., 1954, Phys. Rev. 94:1134.ADSCrossRefGoogle Scholar
  20. Gorelik, J., Fisher, B., Pratt, B., Luz, Z., and Many, A., 1968, Phys. Lett. 28A:485.Google Scholar
  21. Grill, W., and Weis, O., 1975, Phys. Rev. Lett. 35:588.ADSCrossRefGoogle Scholar
  22. Gunn, J. B., 1963, Sol. State Commun. 1:88.ADSCrossRefGoogle Scholar
  23. Gurevich, L. E., and Gasymov, T. M., 1967a, Sov. Phys. Sol. State 9:78.Google Scholar
  24. Gurevich, L. E., and Gasymov, T. M., 1967b, Sov. Phys. Semicond. 1:640.Google Scholar
  25. Gurevich, L. E., and Gasymov, T. M., 1968, Sov. Phys. Sol. State 9:2752.Google Scholar
  26. Gurevich, L. E., and Gasymov, T. M., 1969, Sov. Phys. Sol. State 10:2557.Google Scholar
  27. Gurevich, L. E., and Shklovskii, B. I., 1967, Sov. Phys. Sol. State 9:401.Google Scholar
  28. Hart, T. R., Aggarwal, R. L., and Lax, B., 1970, Phys. Rev. Bl:638.Google Scholar
  29. Herring, C, 1958, in Semiconduct ors and Phosphors, Ed. by M. Schoen and H. Welker, Vieweg, Berlin, p. 184.Google Scholar
  30. Huebner, K., and Shockley, W., 1960, Phys. Rev. Lett. 4:504.ADSCrossRefGoogle Scholar
  31. Huet, D., Pannetier, B., Ladan, F. R., and Maneval, J. P., 1976, J. de Phys. 37:521.CrossRefGoogle Scholar
  32. Ishida, A., and Inuishi, Y., 1968, Phys. Lett. 27A:443.Google Scholar
  33. Jack, J. W., Barron, H. W. T., and Smith, T., 1973, Phys. Rev. C7:2961.Google Scholar
  34. Jay-Gerin, J. G., 1974, J. Phys. Chem. Sol. 35:81.ADSCrossRefGoogle Scholar
  35. Jay-Gerin, J. G., 1975, Phys. Rev. B12:1418.ADSCrossRefGoogle Scholar
  36. Kaveh, M., and Wiser, N., 1972, Phys. Rev. Lett. 29:1374.ADSCrossRefGoogle Scholar
  37. Kaveh, M., and Wiser, N., 1974, Phys. Lett. 49A:47.Google Scholar
  38. Kayser, U., 1972, J. Phys. F. 2:L60.ADSCrossRefGoogle Scholar
  39. Keyes, R. W., 1974, Commun. Sol. State Phys. 6:45.Google Scholar
  40. Kichigan, D. A., Lobachyov, V. P., Mironov, O. A., and Kalitenko, N. G., 1976, Sol. State Commun. 20:645.ADSCrossRefGoogle Scholar
  41. Klemens, P. G., 1951a, Proc. Phys. Soc. A64:1030.CrossRefGoogle Scholar
  42. Klemens, P. G., 1951b, Proc. Roy. Soc. A208:108.Google Scholar
  43. Klemens, P. G., 1966, Phys. Rev. 148:845.ADSCrossRefGoogle Scholar
  44. Klemens, P. G., 1967, J. Appl. Phys. 38:4573.ADSCrossRefGoogle Scholar
  45. Kocevar, P., 1972, J. Phys. C 5:3349.ADSCrossRefGoogle Scholar
  46. Kocevar, P., 1973, Acta Phys. Austriaca 37:259,270.Google Scholar
  47. Kocevar, P., 1977, Phys. Stat. Sol. (b) 84:681.ADSCrossRefGoogle Scholar
  48. Kocevar, P., and Fitz, E., 1978, Phys. Stat. Sol. (b) 89:225.ADSCrossRefGoogle Scholar
  49. Konsin, P., and Kristoffel, N., 1978, Proc. XIV Intern. Conf. Phys. Semicond., Inst, of Phys., London, p. 453.Google Scholar
  50. Landau, L., and Rumer, G., 1937, Phys. Z. Sov. U. 11:18.MATHGoogle Scholar
  51. Lang, I. G., and Pavlov, S. T., 1973, Sov. Phys. JETP 36:793.ADSGoogle Scholar
  52. Leonardi, C., and Persico, F., 1973, Phys. Rev. B3:635.Google Scholar
  53. Lifshitz, T. M., Oleinikov, A. Ya., Romanovtsev, V. V., and Shulman, A. Yu., 1972, Proc. XI Intern. Conf. Phys. Semicond., Warsaw, p. 608.Google Scholar
  54. Maris, H. J., 1972, J. de Phys. 33:C403.ADSGoogle Scholar
  55. Maris, H. J., 1964, Phil. Mag. 9:901.ADSCrossRefGoogle Scholar
  56. Mattos, J. C. V., and Leite, R. C. C., 1973, Sol. State Commun. 12:465.ADSCrossRefGoogle Scholar
  57. McGroddy, J. C., and Christensen, O., 1973, Phys. Rev. B8:5582.ADSCrossRefGoogle Scholar
  58. Meneses, E. A., Januzzi, N., Ramos, J. G. P., Luzzi, R., and Leite, R. C. C., 1975, Phys. Rev. Bll:2213.Google Scholar
  59. Motsiuke, P., Argliello, C. A., and Leite, R. C. C., 1975, Sol. State Commun. 16:763.ADSCrossRefGoogle Scholar
  60. Murayama, Y., 1967, J. Phys. Soc. Jpn. 23:802.ADSCrossRefGoogle Scholar
  61. Narayanamurti, V., Chin, M. A., Logan, R. A., and Lax, M., 1978, Proc. XIV Intern. Conf. Phys. Semicond., Inst, of Phys., London, p. 215.Google Scholar
  62. Nilsson, G., and Nelin, G., 1971, Phys. Rev. B3:364.ADSCrossRefGoogle Scholar
  63. Palik, E. D., and Bray, R., 1971, Phys. Rev. B3:3302.ADSCrossRefGoogle Scholar
  64. Paranjape, B. V., in Cooperative Phenomena, Ed. by H. Haken and M. Wagner, Springer, Berlin.Google Scholar
  65. Paranjape, V. V., and Paranjape, B. V., 1968, Phys. Rev. 166:757.ADSCrossRefGoogle Scholar
  66. Parrott, J. E., 1957, Proc. Phys. Soc. 70:590.MathSciNetMATHCrossRefGoogle Scholar
  67. Perrin, N., 1975, Sol. State Commun. 17:131.ADSCrossRefGoogle Scholar
  68. Perrin, N., and Budd, H., 1972, Phys. Rev. Lett. 28:1701.ADSCrossRefGoogle Scholar
  69. Perrin, N., and Budd, H., 1974, Phys. Rev. B9:3454.Google Scholar
  70. Pohl, D., Maier, M., and Kaiser, W., 1968, Phys. Rev. Lett. 20:366.ADSCrossRefGoogle Scholar
  71. Polerantz, M., 1965, Phys. Rev. 139:A501.ADSCrossRefGoogle Scholar
  72. Pomortsev, R. V., and Kharus, G. I., 1968, Sov. Phys. Sol. State 9:2256.Google Scholar
  73. Puri, S. M., 1965, Phys. Rev. 139:A995.ADSCrossRefGoogle Scholar
  74. Reupert, W., Lassman, K., and de Groot, P., 1975, Proc. Intern. Conf. on Phonon Scattering, Inst, of Phys., Nottingham, p. 315.Google Scholar
  75. Samoilovich, A. G., and Buda, I. S., 1976, Sov. Phys. Semicond. 9:977.Google Scholar
  76. Seeger, K., 1973, Semiconductor Physics, Springer, New York.Google Scholar
  77. Shah, J., 1974, Phys. Rev. B10:3697.ADSCrossRefGoogle Scholar
  78. Shah, J., Leheny, R. F., and Dayem, A. H., 1974, Phys. Rev. Lett. 33:818. Shah, J., Leite, R. C. C., and Scott, J. F., 1970, Sol. State Commun. 8:1089.ADSCrossRefGoogle Scholar
  79. Sharma, S. K., and Aggarwal, D. B., 1975, Phys. Stat. Sol. (b) 69:169.ADSCrossRefGoogle Scholar
  80. Simons, S., 1967, Proc. Phys. Soc. 83:748.Google Scholar
  81. Simpson, I. C., 1975, J. Phys. C 8:399.ADSCrossRefGoogle Scholar
  82. Smith, R. W., 1962, Phys. Rev. Lett. 9:87.ADSCrossRefGoogle Scholar
  83. Sommerfeld, A., and Bethe, H., 1933, Handbook der Physik 24:333.Google Scholar
  84. Spector, H. N., 1962, Phys. Rev. 127:1084.ADSMATHCrossRefGoogle Scholar
  85. Sussmann, R. S., and Ridley, B. K., 1974, J. Phys. C 7:3941.ADSCrossRefGoogle Scholar
  86. White, D. L., 1962, J. Appl. Phys. 33:2547.ADSMATHCrossRefGoogle Scholar
  87. Winterling, G., and Heinicke, W., 1968, Phys. Lett. 27A:443.Google Scholar
  88. Woodruff, T. O., and Ehrenreich, H., 1961, Phys. Rev. 123:1553.ADSMATHCrossRefGoogle Scholar
  89. Yamashita, J., 1965, Progr. Theor. Phys. 33:343.ADSMATHCrossRefGoogle Scholar
  90. Yamashita, J., and Nakamura, N., 1965, Progr. Theor. Phys. 33:1022.ADSCrossRefGoogle Scholar
  91. Yamashita, J., and Nakamura, N., 1969, Progr. Theor. Phys. 41:1123.ADSCrossRefGoogle Scholar
  92. Yassievich, I. N., and Schleifstein, M., 1970, Phys. Stat. Sol, (b) 42:415.ADSCrossRefGoogle Scholar
  93. Yassievich, I. N., and Schleifstein, M., 1972, Phys. Stat. Sol, (b) 51:161.ADSCrossRefGoogle Scholar
  94. Ziman, J. M., 1960, Electrons and Phonons, Oxford Univ. Press, Oxford.MATHGoogle Scholar
  95. Zylberstejn, A., 1967, Phys. Rev. Lett. 19:838.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • P. Kocevar
    • 1
  1. 1.Universität GrazGrazAustria

Personalised recommendations