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Effective Interatomic Interactions VIA The TB-LMTO Method

Published online by Cambridge University Press:  10 February 2011

V. Drchal
Affiliation:
Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-180 40 Praha 8, Czech Republic Institute for Technical Electrochemistry, Technical University of Vienna, Getreidemarkt 9, A-1060 Vienna, Austria
J. Kudrnovský
Affiliation:
Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-180 40 Praha 8, Czech Republic Institute for Technical Electrochemistry, Technical University of Vienna, Getreidemarkt 9, A-1060 Vienna, Austria
A. Pasturel
Affiliation:
Experimentation Numérique, Maison des Magistères, CNRS, BP 166, 38042 Grenoble Cedex, France
I. Turek
Affiliation:
Institute of Physics of Materials, Academy of Sciences of the Czech Republic, Žižkova 22, CZ-616 62 Brno, Czech Republic
P. Weinberger
Affiliation:
Institute for Technical Electrochemistry, Technical University of Vienna, Getreidemarkt 9, A-1060 Vienna, Austria
A. Gonis
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550, U.S.A.
P. E. A. Turchi
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550, U.S.A.
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Abstract

The energetics of metallic alloys, their surfaces or interfaces, and magnetic multilayers is studied in terms of effective interatomic (or interlayer) interactions that are determined from ab initio electronic structure calculations using the TB-LMTO method combined with the coherent potential approximation and the method of surface Green functions. First the theoretical background (force theorem, Lloyd formula, generalized perturbation method for bulk and surfaces, vertex cancellation theorem, method of infinitesimal rotations) is discussed, and then the applications to the phase stability of bulk alloys, surface segregation in disordered alloys, magnetism-induced ordering in two- and three-dimensional systems, phase diagram of two-dimensional alloys, interlayer exchange coupling in metallic multilayers, and the construction of Heisenberg-like Hamiltonians for magnetic systems are presented.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1. Turek, I., Drchal, V., Kudrnovský, J., Šob, M., and Weinberger, P., Electronic Structure of Disordered Alloys, Surfaces and Interfaces, (Kluwer Academic, Boston, 1997).Google Scholar
2. Drchal, V., Kudrnovský, J., and Turek, I., Computer Phys. Commun. 97, 111 (1996).Google Scholar
3. Kudrnovský, J., Turek, I., Drchal, V., and Šob, M., in Stability of Materials, edited by Gonis, A., Turchi, P., and Kudrnovský, J. (Plenum, New York, 1996), pp. 237264.Google Scholar
4. Andersen, O.K., Phys. Rev. B 12, 3060 (1975).Google Scholar
5. Skriver, H.L., The LMTO Method. (Springer, Berlin, 1984).Google Scholar
6. Andersen, O.K. and Jepsen, O., Phys. Rev. Lett. 53, 2571 (1984).Google Scholar
7. Andersen, O.K., Pawlowska, Z., and Jepsen, O., Phys. Rev. B 34, 5253 (1986).Google Scholar
8. Kudrnovský, J. and Drchal, V., Phys. Rev. B 41, 7515 (1990).Google Scholar
9. Wenzien, B., Kudrnovský, J., Drchal, V., and Šob, M., J. Phys.: Condens. Matter 1, 9893 (1989).Google Scholar
10. Skriver, H.L. and Rosengaard, N.M., Phys. Rev. B 43, 9538 (1991).Google Scholar
11. Kudrnovský, J., Turek, I., Drchal, V., Weinberger, P., Christensen, N. E., and Bose, S. K., Phys. Rev. B 46, 4222 (1992).Google Scholar
12. Kudrnovský, J., Turek, I., Drchal, V., Weinberger, P., Bose, S. K., and Pasturel, A., Phys. Rev. B 47, 16525 (1993).Google Scholar
13. Shick, A.B., Drchal, V., Kudrnovský, J., and Weinberger, P.: Phys. Rev. B 54, 1610 (1996).Google Scholar
14. Drchal, V., Kudrnovský, J., and Weinberger, P., Phys. Rev. B 50, 7903 (1994).Google Scholar
15. Connolly, J.W. and Williams, A.R., Phys. Rev. B 27, 5169 (1983).Google Scholar
16. Mackintosh, A.R. and Andersen, O.K., Chapter 5.3 in Electrons at the Fermi Surface, edited by Springford, M. (Cambridge University Press, Cambridge, England, 1980).Google Scholar
17. Lloyd, P. and Smith, P.V., Adv. Phys. 21, 69 (1972).Google Scholar
18. Ducastelle, F. and Gautier, F., J. Phys. F: Metal Phys. 6, 2039 (1976).Google Scholar
19. Ducastelle, F., Order and Phase Stability, (North Holland, Amsterdam, 1991).Google Scholar
20. Turchi, P.E.A., Chapter 2 in Intermetallic Compounds, edited by Westbrook, J.H. and Fischer, R.L. (Wiley, New York, 1994).Google Scholar
21. Drchal, V., Kudrnovský, J., Udvardi, L., Weinberger, P., and Pasturel, A., Phys. Rev. B 45, 14328 (1992).Google Scholar
22. Pasturel, A., Drchal, V., Kudrnovský, J., and Weinberger, P., Phys. Rev. B 48, 2704 (1993).Google Scholar
23. Ducastelle, F., J. Phys. C: Solid State Phys. 8, 3297 (1975).Google Scholar
24. Gonis, A., Turchi, P.E.A., Kudrnovský, J., Drchal, V., and Turek, I., J. Phys.: Condensed Matter 8, 7869, (1996);Google Scholar
Gonis, A., Turchi, P.E.A., Kudrnovský, J., Drchal, V., and Turek, I., J. Phys.: Condensed Matter 8, 7883, (1996).Google Scholar
25. Bose, S.K., Drchal, V., Kudrnovský, J., Jepsen, O., and Andersen, O.K., Phys. Rev. B 55, 8184 (1997).Google Scholar
26. Drchal, V., Kudrnovský, J., Pasturel, A., Turek, I., and Weinberger, P., Phys. Rev. B 54, 8202 (1996).Google Scholar
27. Binder, B. and Heermann, D.W., Monte Carlo Simulation in Statistical Physics, (Springer, Berlin, 1994).Google Scholar
28. Kudrnovský, J., Turek, I., Pasturel, A., Tétot, R., Drchal, V., and Weinberger, P., Phys. Rev. B 50, 9603 (1994).Google Scholar
29. Monnier, R., Phil. Mag. B 75, 67 (1997).Google Scholar
30. Legrand, B., Tréglia, G., and Ducastelle, F., Phys. Rev. B 41, 4422 (1990);Google Scholar
Tréglia, G., Legrand, B., and Ducastelle, F., Europhys. Lett. 7, 575 (1988).Google Scholar
31. Schulthess, T., Monnier, R., and Crampin, S., Phys. Rev. B 50, 18564 (1994).Google Scholar
32. Drchal, V., Kudrnovský, J., and Turek, I., in Stability of Materials, edited by Gonis, A., Turchi, P., and Kudrnovský, J. (Plenum, New York, 1996), pp. 355360.Google Scholar
33. Drchal, V., Pasturel, A., Kudrnovský, J., Gonis, A., and Turchi, P., in Properties of Complex Inorganic Solids, edited by Gonis, A., Meike, A., and Turchi, P.E.A., (Plenum, New York, 1997), pp. 133138.Google Scholar
34. Florencio, J., Ren, D.M., and Tsong, T.T., Surf. Sci. 345, L29 (1996).Google Scholar
35. Legrand, B. and Tréglia, G., Surf. Sci. 236, 398 (1990).Google Scholar
36. Kudrnovský, J., Bose, S.K., and Drchal, V., Phys. Rev. Lett. 69, 308 (1992).Google Scholar
37. Tétot, R., Kudrnovský, J., Pasturel, A., Drchal, V., and Weinberger, P., Phys. Rev. B 51, 17910 (1995).Google Scholar
38. Binary Alloy Phase Diagrams, 2nd edition, editor-in-chief Massalski, T.B., (ASM International, Materials Park, Ohio, 1990).Google Scholar
39. Landolt-Börnstein-New Series III, Vol. 19a, edited by Madelung, O., (Springer, Berlin, 1992).Google Scholar
40. Khachaturyan, A.G., Theory of Structural Transformations in Solids, (Wiley, New York, 1983), Chap. 3.7Google Scholar
41. Bieber, A. and Gautier, F., J. Magn. Magn. Mater. 97, 293 (1991).Google Scholar
42. Lang, P., Nordström, L., Zeller, R., and Dederichs, P.H., Phys. Rev. Lett. 71, 1927 (1993).Google Scholar
43. Kudrnovský, J., Drchal, V., Turek, I., and Weinberger, P., Phys. Rev. B 50, 16105 (1994).Google Scholar
44. Lang, P., Nordström, L., Wildberger, K., Zeller, R., Dederichs, P.H., and Hoshino, T., Phys. Rev. B 53, 9092 (1996).Google Scholar
45. Hathaway, K.B., Ultrathin Magnetic Structures II, edited by Heinrich, B. and Bland, J.A.C. (Springer, Berlin, 1994), 45.Google Scholar
46. d'Albuquerque e Castro, J., Ferreira, M.S., and Muniz, R.B., Phys. Rev. B 49, 16062 (1994).Google Scholar
47. Liechtenstein, A.I., Katsnelson, M.I., Antropov, V.P., and Gubanov, V.A., J. Magn. Magn. Mater. 67, 65 (1987).Google Scholar
48. Bruno, P., Kudrnovský, J., Drchal, V., and Turek, I., Phys. Rev. Lett. 76, 4254 (1996).Google Scholar
49. Gubanov, V.A., Liechtenstein, A.I., and Postnikov, A.V., Magnetism and the Electronic Structure of Crystals, (Springer, Berlin, 1992).Google Scholar
50. Rosengaard, N.M. and Johansson, B., Phys. Rev. B 55, 14975 (1997).Google Scholar