9. — Conclusion
I hope from these examples I may have convinced that the usual band theory of solids based on Bloch wave functions of type (1), though enormously successful, is not of universal validity. It is always legitimate to use it if one has a non-integral number of electrons per atom, but if the number is integral it may predict conductivity and related phenomena in cases when no conductivity is observed. Examples may be drawn from the inner shells of metal atoms both in the metallic state and in oxides and also from impurity-band conduction in valence semiconductors.
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References
A. H. Wilson:Proc. Roy. Soc., A133, 450 (1931).
N. F. Mott:Proc. Phys. Soc. Lond.,62 416 (1949).
N. F. Mott:Adv. in Metal Physics,3, 76 (1952).
N. F. Mott:Report of Rugby Meeting on Semiconduclors. London, Physical Society (1956).
N. F. Mott:Can. Journ. Phys.,39, 1356 (1956).
N. F. Mott andK. W. H. Stevens:Phil. Mag. (8)2, 1364 (1957).
J. C. Slater:Phys. Rev.,82, 568 (1951).
H. A. Bethe:Handbuch der Physik,24/1, 529 (1933).
H. Fritzsche:Purdue University Second Quarterly Report (1956).
S. H. Koenig andG. R. Gunther-Mohr:Journ. Phys. Chem. Solid. 2, 268 (1957).
R. R. Heikes:Phys. Rev.,99, 1232 (1955).
V. Heine:Proc. Roy. Soc., A,240, 340 (1957).
J. C. Slater:Phys. Rev.,41, 57 (1936).
N. F. Mott:Proc. Phys. Soc. Lond.,47, 571 (1935).
N. F. Mott:Proc. Phys. Soc. Lond.,47, 571 (1935).
Y. Cauchois andC. Bonnelle,Comptes Rendus,245, 1230 (1957).
C. Zener:Phys. Rev.,81, 440 (1951).
J. S. Griffith:Journ. Inorg. Nucl. Chem.,3, 15 (1956).
E. C. Stoner:Rep. Progress in Physics,11, 43 (1946).
W. Hume-Rothery andB. R. Coles:Adc. in Physics,3, 149 (1954).
D. E. Carter andM. P. Givens:Phys. Rev.,101, 1469 (1956).
D. H. Tomboulian:Technical Report ORD, 669 (1957).
A. N. Gerritsen:Handbuch der Physik,19, 187 (1956).
R. W. Powell:Proc. Phys. Soc. Lond.,51, 416 (1939).
S. Legvold:Rev. Mod. Phys.,25, 129 (1953).
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Mott, N.F. The transition from the metallic to the non-metallic state. Nuovo Cim 7 (Suppl 2), 312–328 (1958). https://doi.org/10.1007/BF02751484
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DOI: https://doi.org/10.1007/BF02751484