Cylindrically shaped zinc-blende semiconductor quantum dots do not have cylindrical symmetry: Atomistic symmetry, atomic relaxation, and piezoelectric effects

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 4, 2005, Pages

  Bester, Gabriel ^a   Zunger, Alex ^a  

^a NATIONAL RENEWABLE ENERGY LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARSENIC; GALLIUM; INDIUM; ZINC SULFIDE;

ARTICLE; COMPLEX FORMATION; ELASTICITY; ELECTRON; MATHEMATICAL ANALYSIS; NANOPARTICLE; PIEZOELECTRICITY; QUANTUM DOT; SEMICONDUCTOR;

EID: 15744392270     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.045318     Document Type: Article

References (64)

1. N. Liu, J. Tersoff, O. Baklenov, A. L. Holmes, and C. K. Shih, Phys. Rev. Lett. 84, 334 (2000).
2. P. Crozier, M. Catalano, R. Cingolani, and A. Passaseo, Appl. Phys. Lett. 79, 3170 (2001).
3. T. Walther, A. G. Cullis, D. J. Norris, and M. Hopkinson, Phys. Rev. Lett. 86, 2381 (2001).
4. R. Kegel, T. H. Metzger, A. Lorke, J. Peisl, J. Stangl, G. Bauer, K. Nordlund, W. V. Schoenfeld, and P. M. Petroff, Phys. Rev. B 63, 035318 (2001).
5. K. Yamaguchi, Y. Saito, and R. Ohtsubo, Appl. Surf. Sci. 190, 212 (2002).
6. D. Bruls, J. Vugs, P. Koenraad, H. Salemink, J. Wolter, M. Hopkinson, M. Skolnick, F. Long, and S. Gill, Appl. Phys. Lett. 81, 1708 (2002).
7. U. Woggon, Optical Properties of Semiconductor Quantum Dots (Springer-Verlag, Berlin, 1997).
8. D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dots Heterostructures (Wiley, New York, 1999).
9. E. O. Kane, Handbook on Semiconductors (North Holland, Amsterdam, 1982), Vol. 1.
10. M. Altarelli, Band Structure, Impurities and Excitons in Superlattices, Heterojunctions and Semiconductor Superlattices (Springer, Berlin, 1986).
11. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halstead, New York, 1988).
12. J. Marzin and G. Bastard, Solid State Commun. 92, 437 (1994).
13. L. Jacak, P. Harylak, and A. Wójs, Quantum Dots (Springer-Verlag, Berlin, 1998).
14. M. Koskinen, S. M. Reimann, and M. Manninen, Phys. Rev. Lett. 90, 066802 (2003).
15. D. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
16. M. Sugisaki, H.-W. Ren, S. V. Nair, K. Nishi, S. Sugou, T. Okuno, and Y. Masumoto, Phys. Rev. B 59, R5300 (1999).
17. S. Cortez, O. Krebs, P. Voisin, and J. M. Gerard, Phys. Rev. B 63, 233306 (2001).
18. G. Cantele, G. Piacente, D. Ninno, and G. Iadonisi, Phys. Rev. B 66, 113308 (2002).
19. K. Silverman, R. Mirin, S. Cundiff, and A. Norman, Appl. Phys. Lett. 82, 4552 (2003).
20. A. S. Saada, Elasticity: Theory and Applications (Pergamon Press, New York, 1974).
21. C. Pryor, J. Kim, L.-W. Wang, A. J. Williamson, and A. Zunger, J. Appl. Phys. 83, 2548 (1998).
22. M. Grundmann, O. Stier, and D. Bimberg, Phys. Rev. B 52, 11969 (1995).
23. Nano-Optoelectronics Concepts, Physics and Devices, edited by M. Grundmann, (Springer, Berlin, 2002), Chap. 7.
24. O. Stier, M. Grundmann, and D. Bimberg, Phys. Rev. B 59, 5688 (1999).
25. G. Pryor, Phys. Rev. B 57, 7190 (1998).
26. S. Hackenbuchner, M. Sabathil, J. Majewski, G. Zandler, P. Vogl, E. Beham, A. Zrenner, and P. Lugli, Physica B 314, 145 (2002).
27. P. N. Keating, Phys. Rev. 145, 637 (1966).
28. S. J. Jiang, Phys. Rev. B 56, 4696 (1997).
29. M. Cusack, P. Briddon, and M. Jaros, Phys. Rev. B 54, R2300 (1996).
30. T. Bander, Phys. Rev. B 41, 11992 (1990).
31. O. Stier, Electronic an Optical Properties of Quantum Dots and Wires (Wissenschaft & Technik Verlag, Berlin, 2001).
32. A. Zunger, Phys. Status Solidi B 224, 727 (2001).
33. R. Santoprete, B. Koiller, R. Capaz, P. Kratzer, Q. Liu, and M. Scheffler, Phys. Rev. B 68, 235311 (2003).
34. Y. Niquet, C. Delerue, G. Allan, and M. Lannoo, Phys. Rev. B 62, 5109 (2000).
35. G. Klimeck, F. Oyafuso, T. B. Boykin, R. Bowen, and P. von Allmen, Comput. Model. Eng. Sci. 3, 601 (2002).
36. V. Ranjan, G. Allan, C. Priester, and C. Delerue, Phys. Rev. B 68, 115305 (2003).
37. G. Bryant and W. Jaskolski, Phys. Rev. B 67, 205320 (2003).
38. A. J. Williamson, L.-W. Wang, and A. Zunger, Phys. Rev. B 62, 12963 (2000).
39. A. J. Williamson and A. Zunger, Phys. Rev. B 59, 15819 (1999).
40. R. Martin, Phys. Rev. B 5, 1607 (1972).
41. R. Resta, Rev. Mod. Phys. 66, 899 (1994).
42. N. Marzari and D. Vanerbilt, Phys. Rev. B 56, 12847 (2002).
43. S. Adachi, Physical Properties of III-V Semiconductor Compounds (Wiley, New York, 1992).
44. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
45. L.-W. Wang and A. Zunger, Phys. Rev. B 59, 15806 (1999).
46. L. W. Wang, A. J. Williamson, A. Zunger, H. Jiang, and J. Singh, Appl. Phys. Lett. 76, 339 (2000).
47. S. Cortez, O. Krebs, and P. Voisin, J. Vac. Sci. Technol. B 18, 2232 (2000).
48. S. Cho, J. Kim, A. Sanz-Hervas, A. Majerfeld, G. Patriarche, and B. Kim, Phys. Status Solidi A 195, 260 (2003).
49. P. Ballet, P. Disseix, J. Leymarie, A. Vasson, A.-M. Vasson, and R. Grey, Thin Solid Films 336, 354 (1998).
50. C. H. Chan, M. C. Chen, H. H. Lin, Y. F. Chen, G. J. Jan, and Y. H. Chen, Appl. Phys. Lett. 72, 1208 (1998).
51. P. D. Berger, C. Bru, Y. Baltagi, T. Benyattou, M. Berenguer, G. Guillot, X. Marcadet, and J. Nagle, Microelectron. J. 26, 827 (1995).
52. J. L. Sanchezrojas, A. Sacedon, F. Gonzalezsanz, E. Calleja, and E. Munoz, Appl. Phys. Lett. 65, 2042 (1994).
53. T. B. Bahder, R. L. Tober, and J. D. Bruno, Phys. Rev. B 50, 2731 (1994).
54. R. L. Tober and T. B. Bahder, Appl. Phys. Lett. 63, 2369 (1993).
55. R. A. Hogg, T. A. Fisher, A. R. K. Willcox, D. M. Whittaker, M. S. Skolnick, D. J. Mowbray, J. P. R. David, A. S. Pabla, G. J. Rees, R. Grey, et al., Phys. Rev. B 48, 8491 (1993).
56. A. S. Pabla, J. L. Sanchezrojas, J. Woodhead, R. Grey, J. P. R. David, G. J. Rees, G. Hill, M. A. Pate, P. N. Robson, R. A. Hogg, et al., Appl. Phys. Lett. 63, 752 (1993).
57. M. A. Migliorato, A. G. Cullis, M. Fearn, and J. H. Jefferson, Physica E (Amsterdam) 13, 1147 (2002).
58. P. Yu and M. Cardona, Fundamentals of Semiconductors (Springer, Berlin, 2001).
59. A. Zunger and S. Mahajan, Handbook on Semiconductors (Elsevier Science B.V., Amsterdam, 1994), Vol. 3, Chap. 19.
60. L.-W. Wang, J. Kim, and A. Zunger, Phys. Rev. B 59, 5678 (1999).
61. L. Wang, A. Williamson, A. Zunger, H. Jiang, and J. Singh, Appl. Phys. Lett. 76, 339 (2000).
62. J. Kim, L.-W. Wang, and A. Zunger, Phys. Rev. B 57, R9408 (1997).
63. J. Shumway, A. J. Williamson, A. Zunger, A. Passaseo, M. De-Giorgi, R. Cingolani, M. Catalano, and P. Crozier, Phys. Rev. B 64, 125302 (2001).
64. This averaging procedure is necessary since the zinc-blende lattice is intrinsically anisotropic within one unit cell. This anisotropy is not the one responsible for the splitting of the P states in the nanostructure, and we eliminate it by taking an average over an integer number of unit cells.