Polarons in semiconductor quantum dots and their role in the quantum kinetics of carrier relaxation

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 12, 2005, Pages

  Seebeck, J ^a   Nielsen, T R ^a   Gartner, P ^a,b   Jahnke, F ^a  

^a UNIVERSITY OF BREMEN   (Germany)

^b NATIONAL INSTITUTE OF MATERIALS PHYSICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY CONSERVATION; KINETICS; PHONON; QUANTUM DOT; SEMICONDUCTOR;

EID: 20144374162     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.125327     Document Type: Article

References (23)

1. D. Morris, N. Perret, and S. Fafard, Appl. Phys. Lett. 75, 3593 (1999).
2. P. Bhattacharya, K. K. Kamath, J. Singh, D. Klotzkin, J. Phillips, H.-T. Jiang, N. Chervela, T. B. Norris, T. Sosnowski, J. Laskar, and M. R. Murty, IEEE Trans. Electron Devices 46, 871 (1999).
3. G. Park, O. B. Shchekin, D. L. Huffaker, and D. G. Deppe, Electron. Lett. 36, 1283 (2000).
4. T. Inoshita and H. Sakaki, Phys. Rev. B 56, R4355 (1997).
5. T. Inoshita and H. Sakaki, Phys. Rev. B 46, 7260 (1992).
6. H. Jiang and J. Singh, IEEE J. Quantum Electron. 34, 1188 (1998).
7. J. Urayama, T. B. Norris, J. Singh, and P. Bhattacharya, Phys. Rev. Lett. 86, 4930 (2001).
8. A. W. E. Minnaert, A. Yu. Silov, W. van der Vleuten, J. E. M. Haverkort, and J. H. Wolter, Phys. Rev. B 63, 075303 (2001).
9. S. Xu, A. A. Mikhailovsky, J. A. Hollingsworth, and V. I. Klimov, Phys. Rev. B 65, 045319 (2002).
10. E. Tsitsishvili, R. v. Baltz, and H. Kalt, Phys. Rev. B 66, 161405(R) (2002).
11. E. Peronne, F. Fossard, F. H. Julien, J. Brault, M. Gendry, B. Salem, G. Bremond, and A. Alexandrou, Phys. Rev. B 67, 205329 (2003).
12. F. Quochi, M. Dinu, L. N. Pfeiffer, K. W. West, C. Kerbage, R. S. Windeler, and B. J. Eggleton, Phys. Rev. B 67, 235323 (2003).
13. K. Kral and Z. Khas, Phys. Rev. B 57, R2061 (1998).
14. O. Verzelen, R. Ferreira, G. Bastard, T. Inoshita, and H. Sakaki, Phys. Status Solidi A 190, 213 (2002).
15. G. D. Mahan, Many-Particle Physics sPlenum, New York, (1990).
16. T. Stauber, R. Zimmermann, and H. Castella, Phys. Rev. B 62, 7336 (2000).
17. In general, Green's functions and self-energies depend on two quantum numbers α, β. For the situation described in this paper, off-diagonal contributions can be neglected, which has been verified numerically; see also (Refs. 4 and 13).
18. T. R. Nielsen, P. Gartner, and F. Jahnke, Phys. Rev. B 69, 235314 (2004).
19. Comparison with an alternative method supports this statement: the first term of a cumulant expansion, which is known to be exact for the independent Boson model (Ref. 15), agrees well with the RPA for quasicontinuous electronic states.
20. O. Verzelen, R. Ferreira, and G. Bastard, Phys. Rev. B 62, R4809 (2000).
21. for a review see H. Haug and P. Jauho, Quantum Kinetics in Transport & Optics of Semiconductors (Springer-Verlag, Berlin, (1996).
22. The quantum-kinetic equation provides energy-conserving scattering processes only in the long-time limit. The corresponding spectral function in Fig. 1 is obtained from a complete Fourier transform whereas on a short timescale the peaks shown there are only partially emerged (since only a finite-time contribution of the retarded GF enters in the quantum-kinetic equation at a given time.)
23. For small carrier densities, we use the polaron GF for the electron vacuum since it is weakly influenced by population effects, see P. Gartner, L. Bányai, and H. Haug, Phys. Rev. B 60, 14234 (1999).