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Real-Space Multiple Scattering Theory Method: Formalism and Applications

Published online by Cambridge University Press:  25 February 2011

X.-G. Zhang*
Affiliation:
Center for Computational Sciences, University of Kentucky, Lexington, Kentucky 40506- 0045
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Abstract

Different forms of the real-space multiple scattering theory (RS-MST) formalism are compared in order to understand its convergence behavior with respect to truncation in the angular momentum expansions. In particular the so-called “folding method” or (1,n) mode is considered, in which the renormalized t-matrix T of the semi-infinite system has the dimension of n (n > 1) repeating units and the self-consistent equation for T is constructed by adding and contracting one such unit. It has been demonstrated in previous studies of layered structures that the folding method converges rapidly in both angular momentum (L) and site (n) indices and yields accurate results. The convergence behavior is an important factor to be considered in applying the various forms of the RS-MST method to layered structures as well as other systems with extended defects.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1. Dederichs, P.H., Hoshino, T., Drittler, B., Abraham, K. and Zeller, R., Physica B172, 203, (1991).Google Scholar
2. Zhang, X.-G. and Gonis, A., Phys. Rev. Lett. 62, 1161, (1989).Google Scholar
3. Zhang, X.-G., Gonis, A. and MacLaren, J.M., Phys. Rev. B 40, 3694, (1989).Google Scholar
4. Zhang, X.-G., Hove, M.A. Van, Somorjai, G.A., Rous, P.J., Tobin, D., Gonis, A., MacLaren, J.M., Heinz, K., Michl, M., Lindner, H., Miller, K., Ehsasi, M., and Block, J.H., Phys. Rev. Lett. 67, 1298, (1991).Google Scholar
5. Zhang, X.-G., Rous, P.J., MacLaren, J.M., Gonis, A., Hove, M.A. Van, and Somorjai, G.A., Surf. Sci. 239, 103, (1990).Google Scholar
6. MacLaren, J.M., Zhang, X.-G., Gonis, A., and Crampin, S., Phys. Rev. B 40, 9955, (1989).Google Scholar
7. Gonis, A., Zhang, X.-G., MacLaren, J.M., and Crampin, S., Phys. Rev. B 42, 3798, (1990).Google Scholar
8. Sowa, Erik C., Gonis, A., Zhang, X.-G., and Foiles, S.M., Phys. Rev. B 40, 9993, (1989).Google Scholar
9. Zhang, X.-G., Ph.D. Thesis, Northwestern University, Department of Physics, 1989.Google Scholar
10. Butler, W.H. and Gonis, A., to be published.Google Scholar