Hostname: page-component-8448b6f56d-qsmjn Total loading time: 0 Render date: 2024-04-24T01:57:20.614Z Has data issue: false hasContentIssue false

A Full-Potential Kkr Green's Function Method for Impurities in Metals

Published online by Cambridge University Press:  25 February 2011

P.H. Dederichs
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich D-5170 Jülich, Fed. Rep., Germany
B. Drittler
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich D-5170 Jülich, Fed. Rep., Germany
R. Zeller
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich D-5170 Jülich, Fed. Rep., Germany
Get access

Abstract

We have developed a full-potential extension of the KKR Green's function method for impurities. The crystal potential is split into a sum of non-overlapping, cellular potentials. The solution for the individual anisotropic potentials is constructed by an iteration procedure starting from the solution for the isotropic potential. We discuss some technical details of the method and its efficiency in applications to impurities in metals. As examples we choose: i) calculations of local moments and Friedel oscillations in metals, ii) calculations of vacancy formation energies, iii) calculations of forces based on the Hellmann-Feynman theorem. For these applications we discuss the importance of the inclusion of full-potentials in comparison to atomic-sphere potentials.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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

LITERATURE

[1] Korringa, J., Physica 13, 392 (1947).Google Scholar
[2] Kohn, W. and Rostoker, N., Phys. Rev. 94, 1111 (1954).CrossRefGoogle Scholar
[3] Braspenning, P.J., Zeller, R., Lodder, A. and Dederichs, P.H., Phys. Rev. B 29, 730 (1984).Google Scholar
[4] Drittler, B., Ebert, H., Zeller, R. and Dederichs, P.H., Phys. Rev. B 39, 6334 (1989).Google Scholar
[5] Drittler, B., Weinert, M., Zeller, R. and Dederichs, P.H., Solid State Commun. 79, 31 (1991).Google Scholar
[6] Abraham, K., Diploma Thesis, RWTH Aachen (1990)Google Scholar
[7] Dederichs, P.H., Hoshino, T., Drittler, B., Abraham, K. and Zeller, R., Physica B 172, 203 (1991).Google Scholar
[8] Zeller, R., J. Phys. C 20, 2347 (1987).CrossRefGoogle Scholar
[9] Drittler, B., Ph.D. thesis, RWTH Aachen (1991)Google Scholar
[10] Andersen, O.K. and Woolley, R.G., Mol. Phys. 26, 905 (1973).Google Scholar
[11] Stefanou, N., Akai, H. and Zeller, R., Comp. Phys. Commun. 60, 231 (1990).Google Scholar
[12] Stefanou, N. and Zeller, R., J. Phys.: Condens. Matter 3, 7599 (1991).Google Scholar
[13] Zeller, R., Deutz, J. and Dederichs, P.H., Solid State Commun. 44, 993 (1982).CrossRefGoogle Scholar
[14] Drittler, B., Weinert, M., Zeller, R. and Dederichs, P.H., Phys. Rev. B 39, 930 (1989).CrossRefGoogle Scholar
[15] Lloyd, P., Proc. Phys. Soc. London 90, 207 (1967).; 90, 217 (1967).Google Scholar
[16] Lehmann, G., Phys. Status Solidi B 70, 737 (1975).Google Scholar
[17] Savrasov, S.Yu., Savrasov, D.Yu. and Andersen, O.K., preprint (1991)Google Scholar
[18] Podloucky, R., Zeller, R. and Dederichs, P.H., Phys. Rev. B 22, 5777 (1980).Google Scholar
[19] Oswald, A., Zeller, R. and Dederichs, P.H., Phys. Rev. Lett. 56, 1419 (1986).Google Scholar
[20] see e.g. Cohen, J.D. and Shchter, C.P., Phys. Rev. 22, 45 (1980). and references therein 198Google Scholar
[21] Papanikolaou, N. and Stefanou, N., private communication (1991)Google Scholar
[22] Ebert, H., Drittler, B., Zeller, R. and Dederichs, P.H., submitted to Phys. Rev. BGoogle Scholar
[23] Gillan, M.J., J. Phys.: Condens. Matter 1, 689 (1989).; A. DeVita and M.J. Gillan, J. Phys.: Condens. Matter 3, 6225 (1991).Google Scholar
[24] Jansen, R.W. and Klein, B.M., J. Phys.: Condens. Matter 1, 8359 (1989).Google Scholar
[25] Finnis, M.W., J. Phys.: Condens. Matter 2, 331 (1990).Google Scholar
[26] Denteneer, P.J.H. and Soler, J.M., Solid State Commun. 78, 857 (1990).Google Scholar
[27] Harris, J., Jones, R.O. and Miller, J.E., J. Chem. Phys. 75, 3904 (1981).Google Scholar
[28] Scheuer, U. and Lengeler, B., Phys. Rev. B 44, 9883 (1991).Google Scholar