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Electrical conduction in metals

DEC 01, 1978
The modern theory was created fifty years ago by Felix Bloch; it still provides the basis for understanding conduction, but many challenges remain.
Philip B. Allen
William H. Butler

Fifty years ago in the Zeitschrift für Physik, two papers were published which laid the foundations for the modern quantum theory of solids. Arnold Sommerfeld quantized the theory of the electron gas, and Felix Bloch showed how this could be generalized to a realistic theory for electrons in solids. In a delightful article in PHYSICS TODAY (December 1976 page 23) Bloch has recounted the circumstances in which he came to work on the electron theory of metals in Leipzig as Heisenberg’s first graduate student.

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References

  1. 1. A. Sommerfeld, Z. Phys. 47, 1 (1928).https://doi.org/ZEPYAA

  2. 2. F. Bloch, Z. Phys. 52, 555 (1928).https://doi.org/ZEPYAA

  3. 3. P. Drude, Ann. Phys. (Leipzig) (4), 1, 566 (1900).https://doi.org/ANPYA2

  4. 4. H. A. Lorentz, Proc. Acad. Sci. Amst. 7, 438 (1904).

  5. 5. J. H. Van Vleck, Nobel Address, 1977, reprinted, for example, in Rev. Mod. Phys. 50, 181 (1978).https://doi.org/RMPHAT

  6. 6. E. E. Wittmer, L. Rosenfeld, Z. Physik 48, 530 (1928).https://doi.org/ZEPYAA

  7. 7. W. M. Visscher, Phys. Rev. B 17, 598 (1978).https://doi.org/PLRBAQ

  8. 8. F. Bloch, Z. Phys. 59, 208 (1930).https://doi.org/ZEPYAA

  9. 9. E. Grüneisen, Ann. Phys. (Leipzig) 16, 530 (1933).https://doi.org/ANPYA2

  10. 10. M. J. Laubitz, T. Matsumura, Can. J. Phys. 50, 196 (1972); https://doi.org/CJPHAD
    G. K. White, S. B. Woods, Phil. Trans. Roy. Soc. 251A, 273 (1959).https://doi.org/PTRMAD

  11. 11. F. J. Pinski, P. B. Allen, W. H. Butler, Phys. Rev. Lett. 41, 431 (1978).https://doi.org/PRLTAO

  12. 12. B. Barnard, A. D. Caplin, Commun. on Phys. 2, 223 (1977); https://doi.org/COPHDH
    M. R. Cimberle, G. Bobel, and C. Rizzuto, Adv. Phys. 23, 639 (1974).https://doi.org/ADPHAH

  13. 13. L. D. Landau, I. Ya. Pomeranchuk, Phys. Z. Sowjetunion 10, 649 (1936); https://doi.org/PHZSAL
    Zh. Eksp. Teor. Fiz. 7, 379 (1937).https://doi.org/ZETFA7

  14. 14. W. G. Baber, Proc. Roy. Soc. (London) A158, 383 (1937).

  15. 15. The data are taken from: V3Si: V. Marchenko, Sov. Phys. Sol. State 15, 1261 (1973); https://doi.org/SPSSA7
    Nb3Sn: D. W. Woodard, G. D. Cody, Phys. Rev. 136, A166 (1964); https://doi.org/PHRVAO
    Nb3Ge: H. Lutz et al., Phys. Rev. Lett. 36, 1576 (1976); Nb3Sb, ref. 22.https://doi.org/PRLTAO

  16. 16. W. Kohnand J. M. Luttinger, Phys. Rev. 108, 590 (1957).https://doi.org/PHRVAO

  17. 17. R. E. Peierls, Quantum Theory of Solids Oxford U.P., Oxford (1955), Chapter VI.

  18. 18. T. D. Holstein, Ann. Phys. (N.Y.) 29, 410 (1964).https://doi.org/APNYA6

  19. 19. P. W. Anderson, Phys. Rev. 109, 1492 (1958); https://doi.org/PHRVAO
    also see his Nobel Address Rev. Mod. Phys. 50, 191 (1978).https://doi.org/RMPHAT

  20. 20. W. E. Spear, Adv. Phys. 23, S23 (1974).https://doi.org/ADPHAH

  21. 21. N. F. Mott, Adv. Phys. 16, 49 (1967); https://doi.org/ADPHAH
    see also his Nobel Address Rev. Mod. Phys. 50, 203 (1978).https://doi.org/RMPHAT

  22. 22. Z. Fisk, G. W. Webb, Phys. Rev. Lett. 36, 1576 (1976).https://doi.org/PRLTAO

  23. 23. H. Wiesmann et al., Phys. Rev. Lett. 38, 782 (1977).https://doi.org/PRLTAO

More about the Authors

Philip B. Allen. State University of New York, Stony Brook.

William H. Butler. Oak Ridge National Laboratory.

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This Content Appeared In
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Volume 31, Number 12

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