A heuristic approach to precisely represent optical absorption and refractive index data for photon energies below, at, and above the band gap of semiconductors: The case of high-purity GaAs. Part I

Journal of Applied Physics

Volumn 97, Issue 12, 2005, Pages

  Reinhart, F K ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BAND GAPS; KRAMERS-KRÖNIG TRANSFORMATION; PHOTON ENERGIES; QUASIEQUILIBRIUM CARRIER DENSITIES;

BAND STRUCTURE; EMISSION SPECTROSCOPY; FUNCTIONS; HEURISTIC METHODS; MATHEMATICAL TRANSFORMATIONS; PHOTOLUMINESCENCE; PHOTONS; REFRACTIVE INDEX; SEMICONDUCTING GALLIUM ARSENIDE; THERMAL EFFECTS;

LIGHT ABSORPTION;

EID: 21644459429     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1935767     Document Type: Article

References (46)

1. M. D. Sturge, Phys. Rev. 127, 768 (1962).
2. T. S. Moss and T. D. H. Hawkins, Infrared Phys. 1, 111 (1961).
3. J. I. Pankove, Phys. Rev. 140, A2059 (1965).
4. F. Stern, Phys. Rev. 148, 186 (1966).
5. D. Redfield, J. P. Wittke, and J. I. Pankove, Phys. Rev. B 2, 1830 (1970).
6. D. D. Sell and H. C. Casey, J. Appl. Phys. 45, 800 (1974).
7. D. D. Sell, H. C. Casey, and K. W. Wecht, J. Appl. Phys. 45, 2650 (1974).
8. H. C. Casey, D. D. Sell, and K. W. Wecht, J. Appl. Phys. 46, 250 (1975).
9. H. C. Casey and F. Stern, J. Appl. Phys. 47, 631 (1976).
10. S. R. Johnson and T. Tiedje, J. Appl. Phys. 78, 5609 (1995).
11. C. J. Hwang, J. Appl. Phys. 40, 3731 (1969).
12. C. J. Hwang, J. Appl. Phys. 41, 2668 (1970).
13. E. O. Kane, Phys. Rev. 131, 79 (1963).
14. M. Lax and B. I. Halperin, J. Phys. Soc. Jpn. 21, 218 (1966).
15. B. I. Halperin and M. Lax, Phys. Rev. 148, 722 (1966).
16. B. I. Halperin and M. Lax, Phys. Rev. 153, 802 (1967).
17. K. Maschke and E. Mooser, Helv. Phys. Acta 61, 394 (1988).
18. A. Iribarren, R. Castro-Rodriguez, V. Sosa, and J. L. Pena, Phys. Rev. B 58, 1907 (1998).
19. F. Stern, Phys. Rev. 133, A1653 (1964).
20. J. Zoroofchi and J. K. Butler, J. Appl. Phys. 44, 3697 (1973).
21. F. K. Reinhart, J. Appl. Phys. 97, 123535 (2005), Paper II.
22. F. K. Reinhart, J. Appl. Phys. 97, 123536 (2005), Paper III.
23. H. R. Philipp and H. Ehrenreich, Phys. Rev. 129, 1550 (1963).
24. D. E. Aspnes, S. M. Kelso, R. A. Logan, and R. Bhat, J. Appl. Phys. 60, 754 (1986).
25. R. J. Elliott, Phys. Rev. 108, 1384 (1957).
26. R. Pässler and G. Oelgart, J. Appl. Phys. 82, 2611 (1997).
27. M. Proctor, thesis, Ecole Polytechnique F́d́rale de Lausanne, 1993.
28. D. D. Sell, Phys. Rev. B 6, 3750 (1972).
29. C. Weisbuch and R. G. Ulbrich, Phys. Rev. Lett. 39, 654 (1977).
30. R. G. Ulbrich and G. W. Fehrenbach, Phys. Rev. Lett. 43, 963 (1979).
31. H. C. Casey, Jr., and M. B. Panish, Heterostructure Lasers, Part A: Fundamental Principles (Academic, New York, 1978), p. 153.
32. D. T. F. Marple, J. Appl. Phys. 35, 1241 (1964).
33. S. Gehrsitz, H. Sigg, A. Vonlanthen, N. Herres, C. Gourgon, and F. K. Reinhart, J. Appl. Phys. 87, 7825 (2000).
34. H. C. Casey, Jr., D. D. Sell, and M. B. Panish, Appl. Phys. Lett. 24, 63 (1974).
35. M. A. Afromowitz, Solid State Commun. 15, 59 (1974).
36. A. H. Wilson, Theory of Metals (Cambridge University Press, Cambridge, 1953).
37. A. S. Barker, in Far Infrared Properties of Solids edited by, S. S. Mitra, and, S. Nadelsoman, (Plenum, New York, 1970).
38. S. R. Kisting, P. W. Bohn, E. Andideh, I. Adesida, B. T. Cunningham, G. E. Stillman, and T. D. Harris, Appl. Phys. Lett. 57, 1328 (1990).
39. A. N. Pikhtin and A. D. Yas'kov, Sov. Phys. Semicond. 12, 622 (1978).
40. S. Adachi, J. Appl. Phys. 58, R1 (1985).
41. R. J. Deri and M. A. Emanuel, J. Appl. Phys. 77, 4667 (1995).
42. C. Tanguy, J. Appl. Phys. 80, 4626 (1996).
43. C. Tanguy, IEEE J. Quantum Electron. 32, 1746 (1996).
44. W. van Roosbroeck and W. Shockley, Phys. Rev. 94, 1558 (1954).
45. D. Martin, E. Tuncel, F. Morier-Genoud, J. L. Staehli, and F. K. Reinhart, Helv. Phys. Acta 60, 205 (1987).
46. At 297 K, the index of refraction at 1.425 eV due to the high-energy critical points is 3.346 and 3.451 for the KK and analytic fit, respectively. In the literature, there is usually no mention to only use this contribution. If we take the full index of refraction, we realize that the group refractive index can become negative according to Fig. 7. This fact would lead to a negative density of optical states that is meaningless physically.