Abstract
In these lectures, we shall give an introduction to the basic theory underlying the use of one-body potential theory in crystals. In the course of this discussion, we shall give a few examples to illustrate the theory, and the kind of accuracy one can hope to achieve in particular types of solid, with one-body potential theory. These examples have been chosen from calculations which the author has either been involved in, or of which he has intimate knowledge. In no sense are they claimed to be representative — their role is illustrative.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beattie, A. M., Stoddart, J. C. and March, N. H., 1971, Proc. Roy. Soc. A326, 97.
Bloch, F., 1928, Zeits. fur Physik 57, 545.
Born, M. and Huang, K., 1954, Dynamical Theory of Crystal Lattices ( Clarendon Press: Oxford).
Brown, P.J., 1972, Phil. Mag., 26, 1377.
Brown, R. C. and March, N. H., 1973, J. Phys. C6, L363.
Dirac, P. A. M., 1930, Proc. Camb. Phil. Soc. 26, 376.
Donovan, B. and March, N. H.,1953, Proc. Phys. Soc. A66, 1104.
Geldart, D.J.W, and Rasolt, M., 1976, Phys. Rev. B13, 1477.
Gunnarsson, O., 1976, J. Phys. F. 6, 587.
Hebborn, J. E. and March, N. H., 1970, Adv. Phys. 19, 175.
Hedin, L. and Lundqvist, S., 1969, Solid State Physics (eds. F. Seitz, D. Turnbull and H. Ehrenreich) Vol. 23, p 1 ( Academic Press: New York ).
Herman, F., van Dyke, J. P. and Ortenburger, I. B., 1969, Phys. Rev. Letts. 22, 807.
Hodges, C. H., 1973, Can. J. Phys. 51, 1428.
Hohenberg, P. and Kohn,W., 1964, Phys. Rev. 136, B864.
Jones, W. and March, N. H., 1970, Proc. Roy. Soc. A317, 359, 1973, Theoretical Solid-State Physics, Wiley-Interscience, London, Volumes 1 and 2.
Kirsnitz, D. A., 1957, Sov. Phys. JETP, 5, 64.
Kittel, C., 1963, Quantum Theory of Solids ( Wiley: New York).
Kohn, W. and Sham, L.J., 1965, Phys. Rev. 140A, 1133.
Langlinais, J. and Callaway, J., 1972, Phys. Rev. B 5, 124
Lidiard, A.B., 1951, Proc. Phys. Soc. A64, 814.
Light, J. C., 1973, J. Chem. Phys. 58, 660. 1974, J. Chem. Phys. 61, 3417.
Ma, S. K. and Brueckner, K.A., 1968, Phys. Rev. 165, 18.
March, N. H., 1974, Orbital Theories of Molecules and Solids (Clarendon Press: Oxford). 1975, Self-consistent Fields in Atoms (Pergamon: Oxford ).
March, N. H. and Stoddart, J. C., 1972, in Computational Solid State Physics: (Herman) ( Plenum: New York).
Nozières, P. and Pines, D., 1958, Phys. Rev. 111, 442.
Perrin, R. C., Taylor, R. and March, N. H., 1975, J. Phys. F5, 1490.
Peuckert, V., 1976, J. Phys. C9, 809.
Rajagopal, A. K. and Callaway, J., 1973, Phys. Rev. B7, 1912.
Randles, D. L. and Springford, M., 1973, J. Phys. F3, L185.
Sampson, J. B. and Seitz, F., 1940, Phys. Rev. 58, 633.
Singwi, K. S., Sjölander, A., Tosi, M. P. and Land, R. H., 1970, Phys. Rev. Bl, 1044.
Sjölander, A., Niklasson G. and Singwi K. S., 1975, Phys. Rev. B11, 113.
Slater, J. C., 1951, Phys. Rev. 81, 385.
Smith, J. R., 1969, Phys. Rev. 181, 522. Stoddart, J. C., 1975, J. Phys. C8, 3391.
Stoddart, J. C., Beattie, A. M. and March, N. H., 1971, Int. J. Quant. Chem. 4, 35.
Stoddart, J. C. and March, N. H. 1967, Proc. Roy. Soc. A299, 279; 1971, Annals of Physics, 64, 174.
Stoddart, J. C., March, N. H. and Stott, M.J., 1969, Phys. Rev. 186, 683.
Stoddart, J. C., Stoney, P., March, N. H. and Ortenburger, I. B., 1974, Nuovo Cimento, 23B, 15.
Stoner, E. C., 1938, Proc. Roy. Soc. A165, 372. 1939, Proc. Roy. Soc. A169, 339.
von Barth, U. and Hedin, L., 1972, J. Phys. C5, 1629.
Vosko, S. H. and Rasolt, M., 1974, Phys. Rev. Letts., 32, 297.
Vosko, S. H., Taylor, R. and Keech, G. H., 1965, Can. J. Phys. 43, 1187.
Wigner, E. P., 1938, Trans. Far. Soc. 34, 678.
Yuan, J. M., Lee, S. Y. and Light, J. C., 1974, J. Chem. Phys. 61, 3394.
Ziman, J.M., 1964, Adv. Phys. 13, 89.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1977 Plenum Press, New York
About this chapter
Cite this chapter
March, N.H. (1977). One-Body Potentials in Crystals. In: Phariseau, P., Scheire, L. (eds) Electrons in Finite and Infinite Structures. NATO Advanced Study Institutes Series, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2811-7_3
Download citation
DOI: https://doi.org/10.1007/978-1-4684-2811-7_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2813-1
Online ISBN: 978-1-4684-2811-7
eBook Packages: Springer Book Archive