Tight-binding sp3d5 Hamiltonian for Si

Journal of Physics and Chemistry of Solids

Volumn 59, Issue 3, 1998, Pages 403-410

  Ren, Shang Yuan ^a,b   Chen, Xia ^b   Dow, John D ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; CRYSTAL STRUCTURE;

BRILLOUIN ZONE; CONDUCTION BAND; TIGHT BINDING HAMILTONIAN; VALENCE BAND;

SEMICONDUCTING SILICON;

EID: 0032018718     PISSN: 00223697     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-3697(97)00190-X     Document Type: Article

References (37)

1. Chadi, D.J. and Cohen, M.L., Phys. Stat. Solidi, 1975, 68, 405.
2. Harrison, W.A., Electronic Structure and the Properties of Solids, Freeman, San Francisco, 1980.
3. Vogl, P., Hjalmarson, H.P. and Dow, J.D., J. Phys. Chem. Solids, 1983, 44, 365.
4. Lannoo, M. and Lenglart, P., J. Phys. Chem. Solids, 1969, 30, 2409.
5. Priester, C., Allan, G. and Lannoo, M., Phys. Rev., 1988, B38, 13451.
6. Lannoo, M., Phys. Rev., 1982, B25, 2987.
7. Lippens, P.E. and Lannoo, M., Phys. Rev., 1989, B39, 10935.
8. Hjalmarson, H.P., Vogl, P., Wolford, D.J. and Dow, J.D., Phys. Rev. Lett., 1980, 44, 810.
9. Hsu, W.Y., Dow, J.D., Wolford, D.J. and Streetman, B.G., Phys. Rev. B, 1977, 16, 1597.
10. Wolford, D.J., Hsu, W.Y., Dow, J.D. and Streetman, B.G., Lumin. J., 1979, 18/19, 863.
11. Dow, J.D., Localized perturbations in semiconductors, in Highlights of Condensed-Matter Theory, Proceedings of the International School of Physics "Enrico Fermi", Course 89, Varenna, 1983, ed. F. Bassani, F. Fumi and M. P. Tosi, Societa Italiana di Fisica, Bologna, Italy, and North-Holland, Amsterdam, 1985, p. 465.
12. Dow, J.D., Ren, S.Y. and Shen, J., NATO Advanced Science Institutes Series B183: Properties of Impurity States in Superlattice Semiconductors, ed. C.Y. Fong, I.P. Batra and S. Ciraci, Plenum Press, New York, 1988.
13. Ren, S.Y., Hu, W.M., Sankey, O.F. and Dow, J.D., Phys. Rev. B, 1982, 26, 951; Li, M.F., Ren, S.Y. and Mao, D.W., Acta Physica Sinica, 1983, 32, 1263; Ren, S.Y., Scientia Sinica, 1984, XXVII, 334.
14. Ren, S.Y., Hu, W.M., Sankey, O.F. and Dow, J.D., Phys. Rev. B, 1982, 26, 951; Li, M.F., Ren, S.Y. and Mao, D.W., Acta Physica Sinica, 1983, 32, 1263; Ren, S.Y., Scientia Sinica, 1984, XXVII, 334.
15. Ren, S.Y., Hu, W.M., Sankey, O.F. and Dow, J.D., Phys. Rev. B, 1982, 26, 951; Li, M.F., Ren, S.Y. and Mao, D.W., Acta Physica Sinica, 1983, 32, 1263; Ren, S.Y., Scientia Sinica, 1984, XXVII, 334.
16. Ren, S.Y., Dow, J.D. and Shen, J., Phys. Rev. B, 1988, 38, 10677.
17. Hong, R.-D., Jenkins, D.W., Ren, S.Y. and Dow, J.D., Materials Research Soc. Symp. Proc., 1987, 77, 545; Interfaces, Superlattices, and Thin Films, ed. J.D. Dow and I.K. Schuller.
18. Hong, R.-D., Jenkins, D.W., Ren, S.Y. and Dow, J.D., Materials Research Soc. Symp. Proc., 1987, 77, 545; Interfaces, Superlattices, and Thin Films, ed. J.D. Dow and I.K. Schuller.
19. Dow, J.D., Ren, S.Y., Shen, Y., Hong, R.-D. and Wang, R.-P., J. Electron. Mater., 1990, 19, 829.
20. Ren, S.Y. and Dow, J.D., J. Appl. Phys., 1989, 65, 1987.
21. Ren, S.Y. and Dow, J.D., Phys. Rev., 1989, B39, 7796.
22. Ren, S.Y., Shen, J., Hong, R.-D., Klemm, S., Tsai, M.-H. and Dow, J.D., Surf. Sci., 1990, 228, 49.
23. Shen, J., Dow, J.D. and Ren, S.Y., J. Appl. Phys., 1990, 67, 3761.
24. Ren, S.Y., Dow, J.D. and Wolford, D.J., Phys. Rev., 1982, B25, 7661.
25. Buisson, J.P., Allen, R.E. and Dow, J.D., J. de Physique (Paris), 1982, 43, 181.
26. Hjalmarson, H.P., Büttner, H. and Dow, J.D., Phys. Lett., 1981, 85A, 293.
27. Dow, J.D. and Allen, R.E., J. Vac. Sci. Technol., 1982, 20, 659.
28. Allen, R.E., Hjalmarson, H.P. and Dow, J.D., Solid State Commun., 1982, 41, 419.
29. Beres, R.P., Allen, R.E. and Dow, J.D., Solid State Commun., 1983, 45, 13.
30. Beres, R.P., Allen, R.E. and Dow, J.D., Phys. Rev., 1982, B26, 5702.
31. Dow, J.D. and Allen, R.E., Appl. Phys. Lett., 1982, 41, 672.
32. Hu, W.-M. and Dow, J.D., J. Vac. Sci. Technol. B, 1989, 7, 907.
33. Slater, J.C. and Koster, G.F., Phys. Rev., 1954, 94, 1498.
34. Chelikowsky, R.L. and Cohen, M.L., Phys. Rev., 1976, 14, 556.
35. For a discussion of other tight-binding models, see D.A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids, Plenum Press, New York, 1986, Vol. I, McGraw-Hill, New York, 1963.
36. For a discussion of how the Hamiltonian matrix is reduced by symmetry, see for example, V. Heine, Group Theory in Quantum Mechanics, Pergamon, New York, 1960; J.C. Slater, Quantum Theory of Molecules and Solids, Vol. II, McGraw-Hill, New York, 1963.
37. For a discussion of how the Hamiltonian matrix is reduced by symmetry, see for example, V. Heine, Group Theory in Quantum Mechanics, Pergamon, New York, 1960; J.C. Slater, Quantum Theory of Molecules and Solids, Vol. II, McGraw-Hill, New York, 1963.