Numerically stable Hermitian secular equation for the envelope-function approximation for superlattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 16, 1996, Pages 11539-11547

  Szmulowicz, Frank ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001605791     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.11539     Document Type: Article

References (27)

1. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Wiley, New York, 1988).
2. G. Bastard, J. A. Brum, and R. Ferreira, in Solid State Physics: Semiconductor Heterostructures, and Nanostructures, edited by H. Ehrenreich and D. Turnbull (Academic, New York, 1991), Vol. 44.
3. M. Altarelli, in Heterojunctions and Semiconductor Superlattices, edited by G. Allan, G. Bastard, N. Boccora, and M. Voos (Springer-Verlag, Berlin, 1986).
4. D. L. Smith and C. Mailhiot, Phys. Rev. B 33, 8345 (1986).
5. (Omitted end note) For further information see, Phys. Rev. B 38, 6151 (1988)
6. S. R. White and L. J. Sham, Phys. Rev. Lett. 47, 879 (1981).
7. F. Szmulowicz and G. J. Brown, Phys. Rev. B 51, 13t203 (1995).
8. S. Brand and D. T. Hughes, Semicond. Sci. Technol. 2, 607 (1987).
9. C. Mailhoit and D. L. Smith, Phys. Rev. B 33, 8360 (1986).
10. D. Y. K. Ko and J. C. Inkson, Phys. Rev. B 38, 9945 (1988).
11. D. Y. K. Ko and J. C. Inkson, Semicond. Sci. Technol. 3, 791 (1988).
12. A. M. Cohen and G. E. Marques, Phys. Rev. B 41, 10t608 (1990).
13. R. de L. Kronig and W. G. Penney, Proc. R. Soc. London Ser. A 130, 499 (1931).
14. M. G. Burt, J. Phys. Condens. Matter 4, 6651 (1992), and references therein.
15. B. A. Foreman, Phys. Rev. B 48, 4964 (1993).
16. D. L. Smith and C. Mailhiot, J. Appl. Phys. 62, 2545 (1987).
17. D. L. Smith and C. Mailhiot, Surf. Sci. 196, 683 (1988)
18. D. L. Smith and C. Mailhiot, Rev. Mod. Phys. 62, 173 (1990).
19. C. Mailhiot and D. L. Smith, J. Vac. Sci. Technol. A 7, 445 (1989).
20. J. L. Johnson, L. A. Samoska, A. C. Gossard, J. L. Merz, M. D. Jack, G. R. Chapman, B. A. Baumgratz, K. Kosai and S. M. Johnson, J. Appl. Phys. 80, 1116 (1996).
21. Y. C. Chang and J. N. Schulman, Phys. Rev. B 25, 3975 (1982).
22. R. Eppenega, M. F. H. Schurrmans and S. Colak, Phys. Rev. 36, 1554 (1987).
23. F. W. Byron, Jr. and R. W. Fuller, Mathematics of Classical and Quantum Physics (Addison-Wesley, Reading, MA, 1969), Vol. I, p. 171, theorem 4.24.
24. E. R. Heller, K. Fisher, F. Szmulowicz and F. L. Madarasz, J. Appl. Phys. 77, 5739 (1995).
25. F. Szmulowicz, E. R. Heller, K. Fisher and F. L. Madarasz, Superlatt. Microstruct. 17, 373 (1995).
26. Chris G. Van de Walle, Phys. Rev. B 39, 1871 (1989).
27. G. L. Bir and G. E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors (Wiley, New York, 1974).