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Theory of Thermal Conductivity of Solids at Low Temperatures

Peter Carruthers*

Peter Carruthers*

  • Bell Telephone Laboratories, Murray Hill, New Jersey

  • *Present address: Laboratory of Nuclear Studies, Cornell University, Ithaca, New York.

Rev. Mod. Phys. 33, 92 – Published 1 January, 1961

DOI: https://doi.org/10.1103/RevModPhys.33.92

References (102)

  1. R. E. Peierls, Quantum Theory of Solids (Oxford University Press, New York, 1955)
  2. P. G. Klemens in Solid-State Physics, edited by F. Seitz and D. Turnbull (Academic Press, Inc., New York, 1958), Vol. 7, p. 1
  3. P. G. Klemens, Handbuch der Physik (Springer-Verlag, Berlin, 1956), 2nd ed., Vol. 14-1, p. 198
  4. G. Leibfried, Handbuch der Physik (Springer-Verlag, Berlin, 1955), 2nd ed., Vol. 7-1, especially p. 290 ff
  5. R. E. Peierls, Ann. Physik 3, 1055 (1929)
  6. C. Herring, in Halbleiter und Phosphore, edited by M. Schön and H. Welker (F. Vieweg and Sohn, Braunschweig, Germany, 1958)
  7. R. Berman, Advances in Phys. 2, 103 (1953)
  8. W. Cochran, Phys. Rev. Letters 2, 495 (1959)
  9. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, New York, 1954)
  10. M. Blackman, Handbuch der Physik (Springer-Verlag, Berlin, 1955), Vol. 7-1, p. 341
  11. A. H. Wilson, Theory of Metals (Cambridge University Press, New York, 1954), p. 251 G. Leibfried, footnote 4, p. 174 L. Van Hove, Mass. Inst. Technol. Solid-State and Molecular Theory Group Tech. Rept. No. 11 (March 15, 1959)
  12. P. A. M. Dirac, Quantum Mechanics (Oxford University Press, New York, 1947), 3rd ed., p. 136
  13. L. Van Hove, Physica 21, 517, 901 (1955) ibid.23, 441 (1957)
  14. L. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1955), 2nd ed., p. 199
  15. G. C. Wick, Revs. Modern Phys. 27, 339 (1955)
  16. G. H. Wannier, Elements of Solid-State Theory (Cambridge University Press, New York, 1959)
  17. E. C. McIrvine and A. W. Overhauser, Phys. Rev. 115, 1531 (1959)
  18. D. ter Haar, Statistical Mechanics (Rinehart and Company, Inc., New York, 1954), Chap 1
  19. A. Herpin, Ann. Phys. 7, 91 (1952)
  20. C. Herring, Phys. Rev. 95, 954 (1954)
  21. R. Berman, F. Simon, and J. Wilks, Nature 168, 277 (1951)
  22. G. Slack, Phys. Rev. 105, 829, 832, (1957) R. Berman, E. L. Foster, and J. M. Ziman, Proc. Roy. Soc. (London) A237, 344 (1956)
  23. B. N. Brockhouse and P. K. Iyengar, Phys. Rev. 108, 894 (1957)
  24. T. H. Geballe and G. W. Hull, Phys. Rev. 110, 773 (1958)
  25. Omitted endnote

  26. J. Callaway, Phys. Rev. 113, 1046 (1959) Klemens.39,39a
  27. V. Ambegaokar, Phys. Rev. 114, 488 (1959)
  28. C. Herring, Phys. Rev. 96, 1163 (1954)
  29. R. Kubo, Can. J. Phys. 34, 1274 (1956) J. Phys. Soc. Japan 12, 570 (1957) M. Lax, Phys. Rev. 109, 1921 (1958) F. Englert, J. Phys. Chem. Solids 11, 78 (1959)
  30. G. H. Wannier, footnote 15
  31. R. Brout and I. Prigogine, Physica 22, 263 (1956) D. K. C. MacDonald in Transport Processes in Statistical Mechanics, edited by I. Prigogine (Interscience Publishers Inc., New York, 1958), p. 63 C. Kittel, Elementary Statistical Physics (John Wiley & Sons, Inc., New York, 1959), p. 186
  32. R. Sproull, M. Moss, and H. Weinstock, J. Appl. Phys. 30, 334 (1959)
  33. P. G. Klemens. Proc. Phys. Soc. (London) A68, 1113 (1955)
  34. P. Carruthers, Phys. Rev. 114, 995 (1959)
  35. A. Granato, Phys. Rev. 111, 740 (1958)
  36. Omitted endnote

  37. J. D. Eshelby, Solid-State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1955), Vol. 3
  38. Klemens footnote 33
  39. In his important paper39a of 1951 Klemens Herring20 in 1954 (a) P. G. Klemens, Proc. Roy. Soc. (London) A208, 108 (1951)
  40. W. S. Williams, thesis, Cornell University (unpublished) Phys. Rev. 119, 1201 (1960)
  41. A. M. Toxen, thesis, Cornell University (unpublished)
  42. R. Pohl (private communication) Phys. Rev. 118, 1499 (1960) A. F. Cohen, Proceedings of the Fifth International Conference on Low Temperature Physics and Chemistry (University of Wisconsin Press, Madison, Wisconsin, 1958), p. 385 footnotes 21 and 40
  43. R. Pohl (private communication)
  44. Miles Klein at Cornell (private communication)
  45. A. Cottrell, Dislocation and Plastic Flow in Crystals (Oxford University Press, New York, 1953), p. 56
  46. D. N. Beshers, Acta Met. 6, 521 (1958)
  47. A. H. Cottrell and B. A. Bilby, Proc. Phys. Soc. (London) A62, 49 (1949) F. S. Ham, J. Appl. Phys. 30, 915 (1959)
  48. L. Tewordt, Phys. Rev. 109, 61 (1958)
  49. J. J. Gilman and W. C. Johnston in Dislocations and Mechanical Properties of Crystals (John Wiley & Sons, Inc., New York, 1957), p. 116
  50. F. R. N. Nabarro, Advances in Phys. 1, 271 (1952)
  51. footnote 2, Klemens
  52. W. T. Read, Jr., Dislocations in Crystals (McGraw-Hill Book Company, Inc., New York, 1953), Chap. 8
  53. Omitted endnote

  54. Omitted endnote

  55. J. N. Lomer and H. M. Rosenberg, Phil. Mag. 4, 467 (1959) W. Kemp, P. G. Klemens, and R. Tainsh, ibid. 4, 845 (1959)
  56. Omitted endnote

  57. I. Pomeranchuk, J. Phys. U.S.S.R. 5, 237 (1942)
  58. A. A. Maradudin, P. Mazur, E. W. Montroll, and G. H. Weiss, Revs. Modern Phys. 30, 175 (1958)
  59. N. F. Mott and H. Jones, Theory of Metals and Alloys (Dover Publications, New York, 1958), p. 296
  60. C. Herring (private communication) R. Brout (private communication)
  61. T. H. Geballe.96
  62. Omitted endnote

  63. T. H. Geballe and G. W. Hull, "Conférence de Physique de Basses Temperatures," (1956), p. 460
  64. Omitted endnote

  65. P. G. Klemens, Proc. Phys. Soc. (London) A70, 833 (1957) J. Phys. Chem. Solids 8, 345 (1959)
  66. Ziman and collaborators70
  67. J. M. Ziman, Phil. Mag. 1, 191 (1956) ibid.2, 292 (1957)
  68. J. M. Ziman, Can. J. Phys. 34, 1256 (1956)
  69. R. Berman, E. Foster, and J. Ziman, Proc. Roy. Soc. (London) A237, 344 (1956)
  70. R. Berman, P. T. Nettley, F. W. Sheard, A. N. Spencer, R. W. H. Stevenson, and J. M. Ziman, Proc. Roy. Soc. (London) A253, 403 (1959)
  71. A. M. Toxen, Phys. Rev. 110, 585 (1958)
  72. H. B. G. Casimir, Phisica 5, 495 (1938) R. E. B. Makinson, Proc. Cambridge Phil. Soc. 34, 474 (1938)
  73. T. H. Geballe (private communication)
  74. R. Berman, F. Simon and J. Ziman, Proc. Roy. Soc. (London) A220, 171 (1953) R. Berman, E. Foster, and J. Ziman, A231, 130 (1955)
  75. C. Herring,28 Sec. VI
  76. R. F. Wallis, Phys. Rev. 116, 302 (1959)
  77. H. J. McSkimin and T. B. Bateman, Bell Telephone Laboratories preprint (unpublished)
  78. W. P. Mason, Bell Telephone Laboratories preprint
  79. B. G. Dick and A. W. Overhauser, Phys. Rev. 112, 90 (1958)
  80. C. Herring, T. H. Geballe and J. E. Kunzler, Phys. Rev. 111, 36 (1958)
  81. C. Herring, T. H. Geballe, and J. E. Kunzler, Bell System Tech. J. 38, 657 (1959)
  82. J. Carruthers, T. Geballe, H. Rosenberg, and J. Ziman, Proc. Roy. Soc. (London) A238, 502 (1957)
  83. I. Estermann and J. E. Zimmerman, Carnegie Institute of Technology, O.N.R. Tech. Rept. No. 6 (1951)
  84. G. Slack and R. Newman, Phys. Rev. Letters 1, 359 (1958)
  85. G. Slack (private communication)
  86. D. Douthett and S. Friedberg, Carnegie Institute of Technology, O.N.R. Tech. Rept. (1958)
  87. M. Kaganov and V. M. Tsukernik, Soviet Phys. JETP 9, 151 (1959)
  88. C. Kittel, Phys. Rev. 110, 836 (1958)
  89. J. Van Kranendonk and J. H. Van Vleck, Revs. Modern Phys. 30, 1, (1958)
  90. A. W. Smith and N. S. Rasor, Phys. Rev. 104, 885 (1956)
  91. J. E. Hove and A. W. Smith, Phys. Rev. 104, 892 (1956)
  92. E. J. Walker and H. A. Fairbank, Phys. Rev. 118, 913 (1960)
  93. J. Krumhansl, J. Phys. Chem. Solids 8, 343 (1959)
  94. A. I. Ansel'm and Iu. A. Firsov, Soviet Phys. JETP 3, 564 (1956)
  95. T. D. Lee, F. Low, and D. Pines, Phys. Rev. 90, 297 (1953)
  96. T. H. Geballe, J. Appl. Phys. 30, 1153 (1959)
  97. T. H. K. Barron, Ann. Phys. 1, 77 (1957)
  98. E. Stern, Phys. Rev. 111, 786 (1958)
  99. C. Kittel, Introduction to Solid-State Physics (John Wiley & Sons, Inc., New York, 1956), 2nd ed., Chap. 3
  100. M. Lax, Revs. Modern Phys. 23, 287 (1951)
  101. R. P. Feynman, Phys. Rev. 76, 749 (1949)
  102. Omitted endnote

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