Application of the Adiabatic Expansion to Wannier Excitons in Quantum Wells

Journal of the Physical Society of Japan

Volumn 67, Issue 9, 1998, Pages 3159-3170

  Hino, Ken Ichi ^a,b  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^b UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Adiabatic expansion; Exciton; Fano resonance; Quantum well

Indexed keywords

EID: 0032261126     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.3159     Document Type: Article

References (43)

1. M. Born and J. R. Oppenheimer: Ann. Phys. 84 (1927) 457.
2. Strictly speaking, a diagonal part of non-adiabatic coupling terms incorporated in the adiabatic approximation is neglected in the BO approximation.
3. J. Macek: J. Phys. B 1 (1968) 831.
4. U. Ekenberg and M. Altarelli: Phys. Rev. B 35 (1987) 7585 and references therein.
5. U. Fano: Phys. Rev. 124 (1961) 1866.
6. S. Glutsch, U. Siegner, M.-A. Mycek and D. S. Chemla: Phys. Rev. B 50 (1994) 17009.
7. D. Y. Oberli, G. Böhm and G. Weimann: Phys. Rev. B 49 (1994) 5757.
8. S. Bar-Ad, P. Kner, M. V. Marquezini, S. Mukamel and D. S. Chemla: Phys. Rev. Lett. 78 (1997) 1363.
9. J. Z. Tang, S. Watanabe, M. Matsuzawa and C. D. Lin: Phys. Rev. Lett. 69 (1992) 1633.
10. K. Hino and J. H. Macek: Phys. Rev. Lett. 77 (1996) 4310.
11. E. E. Nikitin and S. Y. Umanskii: Theory of Slow Atomic Collisions (Springer-Verlag, Berlin, 1984) p. 243.
12. Most of authors obtain exciton continuum using a sort of a variational method called the momentum-space calculations. [See, R. Winkler: Phys. Rev. B 51 (1995) 14395 and references therein.] However, the manipulations would be unsuitable for the multi-channel scattering problems since no proper scattering boundary conditions are imposed on both of open-and closed-channel wavefunctions.
13. A. N. Forshow and D. M. Whittaker: Phys. Rev. B 54 (1996) 8794.
14. S. Glutsch, D. S. Chemla and F. Bechstedt: Phys. Rev. B 54 (1996) 11592.
15. M. Graf, P. Vogl and A. B. Dzyubenko: Phys. Rev. B 54 (1996) 17003.
16. B. W. Shore: Rev. Mod. Phys. 39 (1967) 439.
17. A. Igarashi, N. Toshima and T. Shirai: Phys. Rev. A 50 (1994) 4951.
18. K. Hino, A. Igarashi and J. H. Macek: Phys. Rev. A 56 (1997) 1038.
19. Y. Kino and M. Kamimura: Hyperfine Interactions 82 (1993) 45.
20. A Igarashi and N. Toshima: Phys. Rev. A 50 (1994) 232.
21. T. Morishita, C. D. Lin and C. G. Bao: Phys. Rev. Lett. 80 (1998) 464.
22. J. M. Luttinger: Phys. Rev. 102 (1956) 1030.
23. In bulk excitons in alkali halides, it is shown that the electron-hole exchange interaction is the important factor for effects of interchannel-mixings, leading to the pronounced Fano interference. For more detail, see, Y. Onodera and Y. Toyozawa: J. Phys. Soc. Jpn. 22 (1967) 833; and Y. Onodera: Phys. Rev. B 4 (1971) 2751.
24. In bulk excitons in alkali halides, it is shown that the electron-hole exchange interaction is the important factor for effects of interchannel-mixings, leading to the pronounced Fano interference. For more detail, see, Y. Onodera and Y. Toyozawa: J. Phys. Soc. Jpn. 22 (1967) 833; and Y. Onodera: Phys. Rev. B 4 (1971) 2751.
25. L. C. Andreani and A. Pasquarello: Phys. Rev. B 42 (1990) 8928.
26. B. Zhu and K. Huang: Phys. Rev. B 36 (1987) 8102.
27. G. E. W. Bauer and T. Ando: Phys. Rev. B 38 (1988) 6015.
28. J. E. Zucker, A. Pinczuk, D. S. Chemla, A. Gossard and W. Wiegmann: Phys. Rev. B 29 (1984) 7065.
29. R. G. Newton: Scattering Theory of Waves and Particles (Springer-Verlag, Berlin, 1982) p. 357.
30. L. C. Andreani, A. Pasquarello and F. Bassani: Phys. Rev. B 36 (1987) 5887.
31. O. I. Tolstikhin, S. Watanabe and M. Matsuzawa: J. Phys. B 29 (1996) L387.
32. μ} are Hermite simultaneously. To this end, eq. (2.1) is a unique partition of Ĥ from Ĥ.
33. A. S. Dickinson and P. R. Certain: J. Chem. Phys. 49 (1968) 4209.
34. D. C. Reynolds, K. K. Bajaj, C. Leak, G. Peters, W. Theis, P. W. Yu, K. Alavi, C. Colvard and I. Shidlovsky: Phys. Rev. B 37 (1988) 3117.
35. W. M. Theis, G. D. Sanders, C. E. Leak, D. C. Reynolds, Y.-C. Chang, K. Alavi, C. Colvard and I. Shidlovsky: Phys. Rev. B 39 (1989) 1442.
36. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery: Numerical Recipes in FORTRAN (Cambridge University Press, Cambridge, 1992) p. 449.
37. E. B. Stechel, R. B. Walker and J. C. Light: J. Chem. Phys. 69 (1978) 3518.
38. F. T. Smith: Phys. Rev. 179 (1969) 111.
39. E. A. Solov'ev: Sov. Phys. Usp. 32 (1989) 228.
40. D. O. Harris, G. G. Engerholm and W. D. Gwinn: J. Chem. Phys. 43 (1965) 1515.
41. J. C. Light, I. P. Hamilton and J. V. Lill: J. Chem. Phys. 82 (1985) 1400.
42. J. T. Muckerman: Chem. Phys. Lett. 173 (1990) 200.
43. M. Abramowitz and I. A. Stegun: Handbook of Mathematical Functions (Dover Publications, New York, 1972) Chap. 22.