Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-07-07T03:01:26.131Z Has data issue: false hasContentIssue false

Multiple Scattering Theory for Space Filling Potentials

Published online by Cambridge University Press:  16 February 2011

W. H. Butler
Affiliation:
Metals and Ceramics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6114
R. G. Brown
Affiliation:
Duke University Physics Department, Durham, NC 27706
R. K. Nesbet
Affiliation:
IBM Research Division, Almaden Research Center, 650 Harry Road, San Jose CA 95120-6099
Get access

Abstract

Multiple scattering theory (MST) provides an efficient technique for solving the wave equation for the special case of muffin-tin potentials. Here MST is extended to treat space filling non- muffin tin potentials and its validity, accuracy and efficiency are tested by application of the two dimensional empty lattice test. For this test it is found that the traditional formulation of MST does not converge as the number of partial waves is increased. A simple modification of MST, however, allows this problem to be solved exactly and efficiently.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Korringa, J., Physica 13, 392 (1947).Google Scholar
[2] Kohn, W. and Rostoker, N., Phys. Rev. 94, 1111 (1954).Google Scholar
[3] Eyges, L., Phys. Rev. 111 683, (1958).Google Scholar
[4] Johnson, K. H., J. Chem. Phys. 45 3085, (1966).Google Scholar
[5] Skriver, H. L., The LMTO Method (Springer- Verlag, New York, 1984).Google Scholar
[6] Gonis, A., Phys. Rev. B 33,5914 (1986).Google Scholar
[7] Brown, R. G. and Ciftan, M., Phys. Rev. B 27, 4564, (1983), Phys. Rev. B 32, 1343 (1985), Phys. Rev. B 33, 7937 (1986).Google Scholar
[8] Yeh, C., Chen, A. B., Nicholson, D. M., and Butler, W. H., (to be published)Google Scholar
[9] Nesbet, R. K., Phys. Rev. B 30 4230, (1984).Google Scholar
[10] Butler, W. H., Phys. Rev. B 14,468 (1976).Google Scholar
[11] Faulkner, J. S., Phys. Rev. B 38, 1686 (1988).Google Scholar
[12] Williams, A. R. and Morgan, J. van W., J. Phys. C 5, L293, (1972)Google Scholar
[13] Williams, A. R. and Morgan, J. van W., J. Phys. C 7, 37, (1974).Google Scholar
[14] Nesbet, R. K. Phys. Rev. B (accepted for publication)(1989).Google Scholar
[15] Brown, R. G. and Butler, W. H. (to be published)Google Scholar