Abstract
In this lecture, we review some of the difficulties encountered in the solution of the KKR-CPA equations and the numerical techniques developed to overcome them.
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
Gyorffy, B. L. and Stocks, G. M., NATO-ASI lecture notes in this volume.
Soven, P., Phys. Rev. B2, 4715(1970); Shiba, H., Progr. Theoret. Phys, (Kyoto) 16, 77(1971);
Gyorffy, B. L., Phys. Rev. B5, 2382 (1972).
Gyorffy, B. L. and Stocks, G. M., J. de Phys. 5, C4–75 (1974).
Stocks, G. M., Gyorffy, B. L. and Temmerman, W. M., Phys. Rev. Lett. 41, 339 (1978).
Gyorffy, B. L. and Stott, M. J. “Band Structure Spectroscopy of Metals and Alloys,” Ed. Fabian and Watson, Academic Press, 385 (1968).
Mattheiss, L. M. Phys. Rev. 133, A1399 (1964).
Davis, H. L., “Computational Methods in Band Theory,” Eds. Marcus, Janak and Williams, Plenum Press, 183 (1971).
Butler, W. H., Olson, J. J., Faulkner, J. S. and Gyorffy, B. L., Phys. Rev. B14, 3823 (1976).
Stocks, G. M. Gyorffy, B. L. Giuliano, E. S. and Ruggeri, R. J. Phys. F. 7 ,1859 (1977).
Temmerman, W. H., Györffy, B. L. and Stocks, G. M. “Transition Metals 1977” Inst. Phys. Conf. Ser. No. 39, 398 (1978) and J. Phys. F. 8, 2461 (1978).
Andersen, O. K., Phys. Rev. B12, 3060, (1975) and Physica, 91B, 317 (1977).
The complex energies have been used by Bansil et al. (ref. 13) to plot a complex energy band structure of disordered alloys using the average t-matrix approximation. They interpret R and I has given the position in energy and lifetimes of Bloch states in the alloy.
Bansil, A., Schwartz, L. and Ehrenreich, H., Phys. Rev. B12, 2893 (1975).
See for example the discussion of Sec. II.5 of Ref. 1.
See for example Janak, J. F. in “Computational Methods in Band Theory,” Eds. Marcus, Janak and Williams, Plenum Press, 323 (1971) and other articles in the same volume.
Faulkner, J. S., Davies, H. L. and Joy, H. W., Phys. Rev. 161, 556 (1967).
Bansil, A., Solid State Comm. 16, 885 (1975).
Fehlner, W. H. and Vosko, S. H., Can. J. Phys. 54, 2159 (1976).
Lloyd, P. and Smith, P. V., Advances in Physics 21, 69 (1972).
Williams, A. R., Janak, J. F., and Moruzzi, V. L., Phys. Rev., B12, 4509 (1972).
Scarborough, J. B., “Numerical Mathematical Analysis,” 6th edition Johns Hopkins Press, Baltimore, 215 (1966).
Gonis, A., Stocks, G. M., Butler, W. H. and Györffy, B. L., to be published.
Bansil, A., Bull. Am. Phys. Soc. 23, 260 (1978).
Beeby, J., Proc. R. Soc. (London), A279, 82 (1964) and Phys. Rev. 135, A130, (1964).
Korringa, J., J. Phys. Chem. Solids, 7, 252 (1958).
Hüfner, G. K., Wertheim, G. K. and Wernick, J. H., Phys. Rev. B8, 4511 (1973).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Plenum Press, New York
About this chapter
Cite this chapter
Stocks, G.M., Temmerman, W.M., Györffy, B.L. (1979). Aspects of the Numerical Solution of the KKR-CPA Equations. In: Phariseau, P., Györffy, B.L., Scheire, L. (eds) Electrons in Disordered Metals and at Metallic Surfaces. NATO Advanced Study Institutes Series, vol 42. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3500-9_5
Download citation
DOI: https://doi.org/10.1007/978-1-4684-3500-9_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-3502-3
Online ISBN: 978-1-4684-3500-9
eBook Packages: Springer Book Archive