Polaronic correction to the first excited electronic energy level in semiconductor quantum dots with parabolic confinement

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 240, Issue 1-2, 1998, Pages 100-104

  Mukhopadhyay, Soma ^a   Chatterjee, Ashok ^a  

^a UNIVERSITY OF HYDERABAD   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EXCITED STATES; NANOCRYSTALS;

ANALYTICAL FORMS; EXCITED ELECTRONIC ENERGIES; FIRST EXCITED STATE; MULTI DIMENSIONAL; PARABOLIC CONFINEMENTS; POLARONIC CORRECTION; SECOND ORDERS; SELF-ENERGY CORRECTIONS;

SEMICONDUCTOR QUANTUM DOTS;

EID: 0041854643     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00032-2     Document Type: Article

References (30)

1. N.F. Johnson, J. Phys. Condens. Matter. 7 (1995) 965.
2. M.A. Reed, R.T. Bate, K. Bradshaw, W.M. Duncan. W.R. Frensly, J.W. Lee, H.D. Shih, J. Vac. Sci. Technol. B 4 (1986) 358; K. Kash, A. Scherer, J.M. Worlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49 (1986) 1043; J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English. Appl. Phys. Lett. 49 (1986) 1275; H. Temkin. G.J. Dolan, M.B. Panish, S.N.G. Chu. Appl. Phys. Lett. 50 (1987) 413; M.A. Reed, J.N. Randall, R.G. Aggarwal, J.R. Matyi, T.M. Moore, A.E. Wetsel, Phys. Rev. Lett. 60 (1988) 535.
3. M.A. Reed, R.T. Bate, K. Bradshaw, W.M. Duncan. W.R. Frensly, J.W. Lee, H.D. Shih, J. Vac. Sci. Technol. B 4 (1986) 358; K. Kash, A. Scherer, J.M. Worlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49 (1986) 1043; J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English. Appl. Phys. Lett. 49 (1986) 1275; H. Temkin. G.J. Dolan, M.B. Panish, S.N.G. Chu. Appl. Phys. Lett. 50 (1987) 413; M.A. Reed, J.N. Randall, R.G. Aggarwal, J.R. Matyi, T.M. Moore, A.E. Wetsel, Phys. Rev. Lett. 60 (1988) 535.
4. M.A. Reed, R.T. Bate, K. Bradshaw, W.M. Duncan. W.R. Frensly, J.W. Lee, H.D. Shih, J. Vac. Sci. Technol. B 4 (1986) 358; K. Kash, A. Scherer, J.M. Worlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49 (1986) 1043; J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English. Appl. Phys. Lett. 49 (1986) 1275; H. Temkin. G.J. Dolan, M.B. Panish, S.N.G. Chu. Appl. Phys. Lett. 50 (1987) 413; M.A. Reed, J.N. Randall, R.G. Aggarwal, J.R. Matyi, T.M. Moore, A.E. Wetsel, Phys. Rev. Lett. 60 (1988) 535.
5. M.A. Reed, R.T. Bate, K. Bradshaw, W.M. Duncan. W.R. Frensly, J.W. Lee, H.D. Shih, J. Vac. Sci. Technol. B 4 (1986) 358; K. Kash, A. Scherer, J.M. Worlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49 (1986) 1043; J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English. Appl. Phys. Lett. 49 (1986) 1275; H. Temkin. G.J. Dolan, M.B. Panish, S.N.G. Chu. Appl. Phys. Lett. 50 (1987) 413; M.A. Reed, J.N. Randall, R.G. Aggarwal, J.R. Matyi, T.M. Moore, A.E. Wetsel, Phys. Rev. Lett. 60 (1988) 535.
6. M.A. Reed, R.T. Bate, K. Bradshaw, W.M. Duncan. W.R. Frensly, J.W. Lee, H.D. Shih, J. Vac. Sci. Technol. B 4 (1986) 358; K. Kash, A. Scherer, J.M. Worlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49 (1986) 1043; J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English. Appl. Phys. Lett. 49 (1986) 1275; H. Temkin. G.J. Dolan, M.B. Panish, S.N.G. Chu. Appl. Phys. Lett. 50 (1987) 413; M.A. Reed, J.N. Randall, R.G. Aggarwal, J.R. Matyi, T.M. Moore, A.E. Wetsel, Phys. Rev. Lett. 60 (1988) 535.
7. T. Demet, D. Heitmann, P Grambow, K. Ploog, Phys. Rev. Lett. 64 (1990) 788; A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559; C.T. Liu, K. Nakamura, D.C. Tsui, K. Ismail, D.A. Antoniadis, H.I. Smith, Appl. Phys. Lett. 55 (1989) 168; W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern, Phys. Rev. Lett. 62 (1989) 2168; M. Tewordt, V. Law, M. Kelly, R. Newhury, M. Pepper, D. Peacock, J. Forst, D. Ritchei, G. Jones, J. Phys. Condens. Matter. 2 (1990) 8969.
8. T. Demet, D. Heitmann, P Grambow, K. Ploog, Phys. Rev. Lett. 64 (1990) 788; A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559; C.T. Liu, K. Nakamura, D.C. Tsui, K. Ismail, D.A. Antoniadis, H.I. Smith, Appl. Phys. Lett. 55 (1989) 168; W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern, Phys. Rev. Lett. 62 (1989) 2168; M. Tewordt, V. Law, M. Kelly, R. Newhury, M. Pepper, D. Peacock, J. Forst, D. Ritchei, G. Jones, J. Phys. Condens. Matter. 2 (1990) 8969.
9. T. Demet, D. Heitmann, P Grambow, K. Ploog, Phys. Rev. Lett. 64 (1990) 788; A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559; C.T. Liu, K. Nakamura, D.C. Tsui, K. Ismail, D.A. Antoniadis, H.I. Smith, Appl. Phys. Lett. 55 (1989) 168; W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern, Phys. Rev. Lett. 62 (1989) 2168; M. Tewordt, V. Law, M. Kelly, R. Newhury, M. Pepper, D. Peacock, J. Forst, D. Ritchei, G. Jones, J. Phys. Condens. Matter. 2 (1990) 8969.
10. T. Demet, D. Heitmann, P Grambow, K. Ploog, Phys. Rev. Lett. 64 (1990) 788; A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559; C.T. Liu, K. Nakamura, D.C. Tsui, K. Ismail, D.A. Antoniadis, H.I. Smith, Appl. Phys. Lett. 55 (1989) 168; W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern, Phys. Rev. Lett. 62 (1989) 2168; M. Tewordt, V. Law, M. Kelly, R. Newhury, M. Pepper, D. Peacock, J. Forst, D. Ritchei, G. Jones, J. Phys. Condens. Matter. 2 (1990) 8969.
11. T. Demet, D. Heitmann, P Grambow, K. Ploog, Phys. Rev. Lett. 64 (1990) 788; A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559; C.T. Liu, K. Nakamura, D.C. Tsui, K. Ismail, D.A. Antoniadis, H.I. Smith, Appl. Phys. Lett. 55 (1989) 168; W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern, Phys. Rev. Lett. 62 (1989) 2168; M. Tewordt, V. Law, M. Kelly, R. Newhury, M. Pepper, D. Peacock, J. Forst, D. Ritchei, G. Jones, J. Phys. Condens. Matter. 2 (1990) 8969.
12. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
13. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
14. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
15. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
16. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
17. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla. Phys. Rev. B 35 (1987) 8113: P. Roussignol, D. Ricard, C.d Flytzanis, Phys Rev. Lett. 62 (1989) 312; U. Bockelmann, G. Bastard, Phys. Rev. B 42 (1990) 8947; M.C. Klein, F. Hache, D. Ricard, C.d Flytzanis, Phys. Rev. B 42 (1990) 11123; M.G. Bawendi, W.L. Wilson, L. Rothberg, P.J. Carrol, T.M. Jedju, M.L. Steigerward, L.E. Brus, Phys. Rev. Lett. 65 (1990) 1623; S. Nomura, T. Kobayashi, Phys. Rev. B 45 (1992) 1305.
18. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
19. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
20. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
21. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
22. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
23. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
24. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter. 4 (1992) 1291; Phys. Rev. B 47 (1993) 12941; K.D. Zhu, T. Kobayashi, Solid State Commun. 92 (1994) 353; M.H. Degani, G.A. Farias, Phys. Rev. B 42 (1990) 11950: S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys B 10 (1996) 2781; J. Phys. Condens. Matter 8 (1996) 4017: Phys. Rev. B 55 (1997) 9279.
25. K.D. Zhu, S.W. Gu, Phys. Lett. A 163 (1992) 435.
26. S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 204 (1995) 411.
27. T.K. Mitra, A. Chatterjee, S. Mukhopadhyay, Phys. Rep. 153 (1987) 91.
28. F.M. Peeters, Wu Xiaoguang, J.T. Devreese, Phys. Rev. B 33 (1986) 3926.
29. A. Chatterjee, Ann. Phys. 102 (1990) 320.
30. E. Kartheuser, in: Polaron in Ionic Crystals and Polar Semiconductors, ed. J.T. Devreese (North-Holland, Amsterdam, 1972) p. 717.