Off-centering of hydrogenic impurities in quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 7, 2005, Pages

  Movilla, J L ^a   Planelles, J ^a  

^a Box 224   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

OXYGEN; SILICON;

AIR; ARTICLE; CALCULATION; ENTHALPY; MATHEMATICAL ANALYSIS; POLARIZATION; QUANTUM DOT;

EID: 15744366883     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.075319     Document Type: Article

References (62)

1. Mesoscopic Physics and Electronics, edited by T. Ando, Y. Arakawa, K. Foruka, S. Komiyama, and H. Nakashima (Springer, Berlin, 1998); H. J. Queisser and E. E. Haller, Science 281, 945 (1998).
2. Mesoscopic Physics and Electronics, edited by T. Ando, Y. Arakawa, K. Foruka, S. Komiyama, and H. Nakashima (Springer, Berlin, 1998); H. J. Queisser and E. E. Haller, Science 281, 945 (1998).
3. F. J. Ribeiro and A. Latgé, Phys. Rev. B 50, 4913 (1994).
4. P. G. Bolcatto and C. R. Proetto, Phys. Rev. B 59, 12 487 (1999).
5. G. Bastard, Phys. Rev. B 24, 4714 (1981).
6. J. L. Zhu and X. Chen, Phys. Rev. B 50, 4497 (1994).
7. N. Porras-Montenegro, S. T. Pérez-Merchancano, and A. Latgé, J. Appl. Phys. 74, 7624 (1993).
8. J. Silva-Valencia and N. Porras-Montenegro, J. Appl. Phys. 81, 901 (1997).
9. D. R. Penn, Phys. Rev. 128, 2093 (1962).
10. M. Lannoo, C. Delerue, and G. Allan, Phys. Rev. Lett. 74, 3415 (1995).
11. R. Tsu and D. Babić, Appl. Phys. Lett. 64, 1806 (1994).
12. P. G. Bolcatto and C. R. Proetto, J. Phys.: Condens. Matter 13, 319 (2001).
13. J. Hermanson, Phys. Rev. 150, 660 (1966).
14. H. Paredes-Gutiérrez, J. C. Cuero-Yépez, and N. Porras-Montenegro, J. Appl. Phys. 75, 5150 (1994).
15. Z. Y. Deng, J. K. Guo, and T. R. Lai, Phys. Rev. B 50, 5736 (1994).
16. L. E. Bras, J. Chem. Phys. 80, 4403 (1984).
17. M. Iwamatsu and K. Horii, Jpn. J. Appl. Phys., Part 1 36, 6416 (1997).
18. J. M. Ferreyra and C. R. Proetto, Phys. Rev. B 52, R2309 (1995).
19. L. Bányai and S. W. Koch, Semiconductor Quantum Dots (World Scientific, Singapore, 1993).
20. F. Stern, Phys. Rev. B 17, 5009 (1978).
21. J. L. Zhu and X. Chen, J. Phys.: Condens. Matter 6, L123 (1994).
22. J. L. Zhu, J. J. Xiong, and B. L. Gu, Phys. Rev. B 41, 6001 (1990).
23. J. L. Zhu, Phys. Rev. B 39, 8780 (1989).
24. V. Ranjan and V. A. Singh, J. Appl. Phys. 89, 6415 (2001).
25. F. Qu, M. Alcalde, C. G. Almeida, and N. O. Dantas, J. Appl. Phys. 94, 3462 (2003).
26. A. Corella-Madueño, R. Rosas, J. L. Marín, and R. Riera, J. Appl. Phys. 90, 2333 (2001).
27. Z. Xiao, J. Zhu, and F. He, J. Appl. Phys. 79, 9181 (1996).
28. C. Bose, J. Appl. Phys. 83, 3089 (1998).
29. Z. Y. Deng, J. K. Guo, and T. R. Lai, J. Phys.: Condens. Matter 6, 5949 (1994).
30. N. Porras-Montenegro and S. T. Pérez-Merchancano, Phys. Rev. B 46, 9780 (1992).
31. H. Ham and H. N. Spector, J. Appl. Phys. 93, 3900 (2003).
32. G. Allan, C. Delerue, M. Lannoo, and E. Martin, Phys. Rev. B 52, 11 982 (1995).
33. J. M. Ferreyra, P. Bosshard, and C. R. Proetto, Phys. Rev. B 55, 13 682 (1997).
34. K. Maex, M. R. Baklanov, D. Shamiryan, F. Iacopi, S. H. Brongersma, and Z. S. Yanovitskaya, J. Appl. Phys. 93, 8793 (2003).
35. H. Treichel and C. Goonetilleke, Adv. Eng. Mater. 3, 461 (2001).
36. S. Yu, T. K. S. Wong, K. Pita, and X. Hu, J. Vac. Sci. Technol. B 20, 2036 (2002).
37. E. J. Osten, E. Bugiel, and A. Fissel, Solid-State Electron. 47, 2161 (2003).
38. S. A. Campbell, H. S. Kim, D. C. Gilmen B. He, T. Ma, and W. L. Gladfelter, IBM J. Res. Dev. 43, 383 (1999).
39. C. J. Forst, C. R. Ashman, K. Schwarz, and P. E. Blochl, Nature (London) 427, 53 (2004).
40. D. A. Buchanan, IBM J. Res. Dev. 43, 243 (1999).
41. W. Jaskolski and G. W. Bryant, Phys. Rev. B 57, R4237 (1998); C. Priester, G. Allan, and M. Lannoo, ibid. 28, 7194 (1983).
42. W. Jaskolski and G. W. Bryant, Phys. Rev. B 57, R4237 (1998); C. Priester, G. Allan, and M. Lannoo, ibid. 28, 7194 (1983).
43. D. BenDaniel and C. B. Duke, Phys. Rev. 152, 683 (1966).
44. D. Bimberg, M. Grandmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, Chichester, 2001).
45. M. Califano and P. Harrison, Phys. Rev. B 61, 10959 (2000).
46. G. Arfken, Mathematical Methods for Physicists (Academic, San Diego, 1985).
47. J. L. Movilla and J. Planelles (unpublished).
48. P. Harrison, Quantum Wells, Wires and Dots (Wiley, Chichester, 2001).
49. W. E. Arnoldi, Q. Appl. Math. 9, 17 (1951); Y. Saad, Numerical Methods for Large Scale Eigenvalue Problems (Halsted Press, New York, 1992); R. B. Morgan, Math. Comput. 65, 1213 (1996).
50. W. E. Arnoldi, Q. Appl. Math. 9, 17 (1951); Y. Saad, Numerical Methods for Large Scale Eigenvalue Problems (Halsted Press, New York, 1992); R. B. Morgan, Math. Comput. 65, 1213 (1996).
51. W. E. Arnoldi, Q. Appl. Math. 9, 17 (1951); Y. Saad, Numerical Methods for Large Scale Eigenvalue Problems (Halsted Press, New York, 1992); R. B. Morgan, Math. Comput. 65, 1213 (1996).
52. R. B. Lehoucq, K. Maschhoff, D. C. Sorensen, P. A. Vu, and C. Yang, ARPACK: FORTRAN subroutines for solving large scale eigenvalue problems, Release 2.1, available at http://www.caam.rice.edu/software/ARPACK; R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK User's Guide: Solution of Large-Scale Eigenvalue Problems with Implicit Restarted Arnoldi Methods (SIAM, Philadelphia, 1998).
53. R. B. Lehoucq, K. Maschhoff, D. C. Sorensen, P. A. Vu, and C. Yang, ARPACK: FORTRAN subroutines for solving large scale eigenvalue problems, Release 2.1, available at http://www.caam.rice.edu/software/ARPACK; R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK User's Guide: Solution of Large-Scale Eigenvalue Problems with Implicit Restarted Arnoldi Methods (SIAM, Philadelphia, 1998).
54. Z. A. Weinberg, J. Appl. Phys. 53, 5052 (1982).
55. J. Robertson, J. Vac. Sci. Technol. B 18, 1785 (2000).
56. F. Gustini, P. Umari, and A. Pasquarello, Microelectron. Eng. 72, 299 (2004).
57. R. L. Anderson, Solid-State Electron. 5, 341 (1962); J. L. Shay, S. Wagner, and J. C. Phillips, Appl. Phys. Lett. 28, 31 (1976).
58. R. L. Anderson, Solid-State Electron. 5, 341 (1962); J. L. Shay, S. Wagner, and J. C. Phillips, Appl. Phys. Lett. 28, 31 (1976).
59. The response of a dielectric medium to an impurity fixed in a QD site (static) is properly accounted for by the static dielectric constant. However, when calculating the self-polarization potential of a fast moving electron we should take into account that the electron moves too rapidly for the atom cores to adjust, so phonons cannot be involved. Hence, dynamic e., should be employed.
60. 1=1, impurity we actually mean an impurity located at (R-h/2), where R is the QD radius and h is the discretization of the grid (see Section II).
61. Basically this approach is a first order perturbation calculation of Eb using the ground state of an impurity-free QD as the zerothorder wave function.
62. ∞ and for the sake of simplicity we always employ es unless otherwise indicated.