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Pseudopotential Calculations of Structural Properties of Solids

Published online by Cambridge University Press:  25 February 2011

Marvin L. Cohen*
Affiliation:
Department of Physics, University of California, and Materials and Molecular, Research Division, Lawrence Berkeley Laboratory, Berkeley, CA 94720
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Abstract

Through the development of a total energy pseudopotential approach, it has become possible to compute structural, electronic, and vibrational properties of solids using only the atomic numbers and atomic masses of the constituent atoms as input. The method has been applied to semiconductors, insulators, and metals; and agreement with experiment for most properties is usually within a few percent.

Applications include the determination of lattice constants for specific structural phases, properties of structural phase transitions, cohesive energies, bulk moduli, lattice vibrational spectra, electron-lattice interaction parameters, and electronic and superconducting properties. A recent example is the prediction of superconductivity in highly condensed hexagonal silicon which was subsequently found experimentally.

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Articles
Copyright
Copyright © Materials Research Society 1986

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References

REFERENCES

1. Fermi, E., Nuovo Cimento 11, 157 (1934).Google Scholar
2. Cohen, M. L., Am J. Phys. 52, 695 (1984).CrossRefGoogle Scholar
3. Phillips, J. C. and Kleinman, L., Phys. Rev. 116, 287 (1959).Google Scholar
4. Cohen, M. L. and Heine, V., Solid State Phys. 24, 37 (1970).CrossRefGoogle Scholar
5. Chelikowsky, J. R. and Cohen, M. L., Handbook on Semiconductors, ed. Paul, W., Vol. I (Amsterdam, 1982), p. 219.Google Scholar
6. Bergstresser, T. K. and Cohen, M. L., Phys. Rev. 141, 789 (1966).Google Scholar
7. Starkloff, T. and Joannopoulos, J. D., Phys. Rev. B 16, 5212 (1977).Google Scholar
8. Zunger, A. and Cohen, M. L., Phys. Rev. B 18, 5449 (T78).Google Scholar
9. Kerker, G., J. Phys. C 13, L189 (1980).CrossRefGoogle Scholar
10. Bachelet, G. B., Hamann, D. R., and Schluter, M., Phys. Rev. B 26, 4199 (1982).CrossRefGoogle Scholar
11. Louie, S. G., Froyen, S., and Cohen, M. L., Phys. Rev. B 26, 1738 (1982).Google Scholar
12. Yin, M. T. and Cohen, M. L., Phys. Rev. B 25, 7403 (1982).CrossRefGoogle Scholar
13. Ihm, J., Zunger, A., and Cohen, M. L., J. Phys. C 12, 4401 (1979).CrossRefGoogle Scholar
14. Kohn, W. and Sham, L. J., Phys. Rev. 140, A1333 (1965).Google Scholar
15. Wang, C. S. and Pickett, W. E., Phys. Rev. Lett. 51, 597 (1983).Google Scholar
16. Hybertsen, M. S. and Louie, S. G., Phys. Rev. Lett. 55, 1418 (1985).CrossRefGoogle Scholar
17. Cohen, M. L., Phys. Reports 110, 293 (1984); Proceedings of the International School of Physics “Enrico Fermi,” Course LXXXIX, (North Holland, Amsterdam, 1985), p. 16.Google Scholar
18. Cohen, M. L. and Louie, S. G., Ann. Rev. Phys. Chem., 35, 537 (1984); M. L. Cohen, Advances in Electronics and Electron Physics, ed. L. Marton and C. Marton (New York, 1980), p. 1.Google Scholar
19. Walter, J. P. and Cohen, M. L., Phys. Rev. B 4, 1877 (1971).CrossRefGoogle Scholar
20. Phillips, J. C., Bonds and Bands in Semiconductors (New York, Academic, 1973).Google Scholar
21. Yin, M. T. and Cohen, M. L., Phys. Rev. Lett 45, 1004 (1980).Google Scholar
22. Chang, K. J. and Cohen, M. L., Phys. Rev. B 31, 7819 (1985).Google Scholar
23. Yin, M. T. and Cohen, M. L., Phys. Rev. B 26, 3259 (1982).Google Scholar
24. Froyen, S. and Cohen, M. L., Phys. Rev. B 28, 3258 (1983).Google Scholar
25. Kunc, K. and Martin, R. M., Phys. Rev. Lett. 48, 406 (1982).Google Scholar
26. Yin, M. T. and Cohen, M. L., Phys. Rev. B 24, 6121 (1981).CrossRefGoogle Scholar
27. Yin, M. T. and Cohen, M. L., Phys. Rev. Lett. 50, 2006 (1983).Google Scholar
28. Biswas, R., Martin, R., Needs, R. J., Nielsen, O. H., Phys. Rev. B 30, 3210 (1984).Google Scholar
29. Yin, M. T., Proceedings of the 17th International Conference on the Physics of Semiconductors, 1984 (Springer, New York, 1985), p. 927.Google Scholar
30. Chang, K. J. and Cohen, M. L., Solid State Comm. 50, 487 (1984).Google Scholar
31. Chang, K. J. and Cohen, M. L., Phys. Rev. B 30, 4774 (1984).Google Scholar
32. Froyen, S. and Cohen, M. L., Phys. Rev. B 29, 3770 (1984).CrossRefGoogle Scholar
33. Chelikowsky, J. R. and Louie, S. G., Phys. Rev. B 29, 3470 (1984).Google Scholar
34. Hanfland, M., Syassen, K., Fahy, S., Louie, S. G., and Cohen, M. L., Phys. Rev. B 31, 6896 (1985).Google Scholar
35. Gronvharov, A. F., Makarenko, I. N., and Stishov, S. M., J.E.T.P. Lett. 41, 184 (1985).Google Scholar
36. Lam, P. K. and Cohen, M. L., Phys. Rev. B 27, 5986 (1983).CrossRefGoogle Scholar
37. Lam, P. K. and Cohen, M. L., Phys. Rev. B 25, 6139 (1982).CrossRefGoogle Scholar
38. Chou, M. Y., Lam, P. K., and Cohen, M. L., Solid State Comm. 42, 861 (1982).CrossRefGoogle Scholar
39. Lam, P. K., Chou, M. Y., and Cohen, M. L., J. Phys. C 17, 2065 (1984).CrossRefGoogle Scholar
40. Chou, M. Y. and Cohen, M. L., to be published.Google Scholar
41. Maysenholder, W., Louie, S. G., and Cohen, M. L., Phys. Rev. B 31, 1817 (1985).CrossRefGoogle Scholar
42. Dacorogna, M. M., Lam, P. K., and Cohen, M. L., Phys. Rev. Lett. 55, 837 (1985).Google Scholar
42. McMillan, W. L., Phys. Rev. 167, 331 (1968).Google Scholar
43. Allen, P. B. and Mikovic, B., Solid State Phys. 32, 1 (1982).Google Scholar
44. Wittig, J., Z. Phys. 195, 215 (1966).Google Scholar
45. Chang, K. J., Dacorogna, M. M., Cohen, M. L., Mignot, J. M., Chouteau, G., and Martinez, G., Phys. Rev. Lett. 54, 2375 (1985).Google Scholar
46. Dacorogna, M. M., Chang, K. J., and Cohen, M. L., Phys. Rev. B 32, 1853 (1985).Google Scholar
47. Olijnyk, H., Sikka, S. K., and Holzapfel, W. B., Phys. Lett. 103A, 137 (1984).CrossRefGoogle Scholar
48. Hu, J. Z. and Spain, I. L., Solid State Comm. 51, 263 (1984).Google Scholar
49. Chang, K. J. and Cohen, M. L., Phys. Rev. B 30,5376 (1984).CrossRefGoogle Scholar
50. Needs, R. and Martin, R. M., Phys. Rev. B 30,5390 (1984).Google Scholar
51. Cohen, M. L. and Anderson, P. W., Superconductivity in d- and f-band Metals, ed. Douglass, D. H. (AIP, New York, 1972), p. 17.Google Scholar