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Calculations of Densities of States for Nonrandom, Substitutionally Disordered Alloys

Published online by Cambridge University Press:  21 February 2011

A. Gonis  and
A.J. Freeman
A. Gonis
Affiliation:
Department of Physics and Astronomy and Materials Research Center, Northwestern University, Evanston, IL 60201, USA
A.J. Freeman
Affiliation:
Department of Physics and Astronomy and Materials Research Center, Northwestern University, Evanston, IL 60201, USA
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Extract

Disordered systems have received a great deal of theoretical attention in the last fifteen years or so, and many advances in our understanding of such systems have been made. The greatest progress has been made in connection with substitutionally disordered alloys in which atoms of various species are randomly distributed over the sites of a regular lattice. The most satisfactory single-site theory for studying the properties of random substitutionally disordered alloys, in particular the one-particle properties such as the density of states (DOS), is the coherent potential approximation (CPA) [1,2]. In the CPA, one considers that the real disordered material is replaced by a self-consistently determined effective medium which is characterized by an energy-dependent site-diagonal selfenergy, and which preserves all symmetries of the lattice. The CPA yields unique and analytic results, i.e., yields DOS and spectral weight functions that are nonnegative and satisfy the fundamental sum rules. There exist several reviews of the CPA [3-5] both for systems describable by tight binding (TB) and by muffin-tin (MT) Hamiltonians.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 299
Copyright
Copyright © Materials Research Society 1984

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References

REFERENCES

1. Soven, P., Phys. Rev. 156, 809 (1967).Google Scholar
2. Velický, V,Kirkpatrick, S., and Ehrenreich, H., Phys. Rev. 175, 747 (1968).Google Scholar
3. Elliott, R.J.,Krumhansl, J.A. and Leath, P.L., Rev. Mod. Phys. 46, 465 (1974).Google Scholar
4. Gyorffy, B.L. and Stocks, G.M., in Electrons in Disordered Metals and Metallic Surfaces, edited by Phariseau, P., Gyorffy, B.L., and Scheire, L., (Plenum Press, New York, 1978), p. 89.Google Scholar
5. Faulkner, J.S., in Progress in Material Science, edited by Christian, J.W., Hassen, P., and Massalski, T.B. (Pergamon Press, New York, 1982), Numbers 1 and 2.Google Scholar
6. Jacobs, R.J., J. Phys. F 3, 933 (1974); 4, 1351 (1974).Google Scholar
7. Zaman, N. and Jacobs, R.L., J. Phys. 5, 1677 (1975).Google Scholar
8. Aoi, K., Solid State Commun. 14, 929 (1974).Google Scholar
9. Brouers, F., Cyrot, M., and Cyrot-Lackmann, F., Phys. Rev. B 7, 4370 (1973).Google Scholar
10. Brouers, F., Ducastelle, F., and Van der Rest, J., J. Phys. F 3, 1704 (1973).Google Scholar
11. Brouers, F. and Ducastelle, F., J. Phys. F 5, 45 (1973).Google Scholar
12. Miwa, T, Prog. Theor. Phys. 52, 1 (1974).Google Scholar
13. Berk, N.F. and Tahir-Kheli, R.A., Physica 67, 501 (1973).Google Scholar
14. Berk, N.F., Shazeer, J., and Tahir-Kheli, R.A., Phys. Rev. B 8, 2496 (1973).Google Scholar
15. Bishop, A.R. and Mookerjee, A., J. Phys. C 7, 2165 (1973).Google Scholar
16. Lloyd, P. and Best, P.R., J. Phys. C 8, 3752 (1975).Google Scholar
17. Tsukada, M., J. Phys. Soc. (Japan) 32, 1475 (1972).Google Scholar
18. Nickel, B.G. and Butler, W.H., Phys. Rev. Lett. 30, 373 (1972).Google Scholar
19. Lackmann-Cyrot, F. and Cyrot, M., Solid State Commun. 22, 517 (1977).Google Scholar
20. Gonis, A. and Garland, J.W., Phys. Rev. B 16,2424 (1977).Google Scholar
21. Myles, , Charles, W.and Dow, J. D., Phys. Rev. Lett. 42, 254 (1979);Google Scholar
21a. Phys. Rev. B 19, 4939 (1979).Google Scholar
22. Gonis, A., Butler, W.H., and Stocks, G.M., Phys. Rev. Lett. 50, 1482 (1983).Google Scholar
23. Gonis, A., Stocks, G.M., Butler, W.H., and Winter, H., to be published.Google Scholar
24. Dean, P., Rev. Mod. Phys. 44, 127 (1972).Google Scholar