Size dependency of strain in arbitrary shaped anisotropic embedded quantum dots due to nonlocal dispersive effects

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 19, 2005, Pages

  Zhang, X ^a   Sharma, P ^a,b  

^a UNIVERSITY OF HOUSTON   (United States)

^b University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29744435059     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.195345     Document Type: Article

References (79)

1. S. Nakamura, S. Pearton, and G. Fasol, The Blue Laser Diode: The Complete Story (Springer, Berlin, 2002).
2. Y. Arakawa, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/JSTQE.2002.801675 8, 823 (2002).
3. D. G. Deppe and D. L. Huffaker, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1328090 77, 3325 2000).
4. P. Bhattacharya, Opt. Quantum Electron. OQELDI 0306-8919 32, 211 (2000).
5. Y. Chye, M. E. White, E. Johnston-Halperin, B. D. Gerardot, D. D. Awschalom, and P. M. Petroff, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66. 201301 66, 201301 (R) (2002).
6. T. Lundstrom, W. Sheonfeld, H. Lee, and P. M. Petroff, Science SCIEAS 0036-8075 10.1126/science.286.5448.2312 286, 2312 (1999).
7. P. M. Petroff, Top. Appl. Phys. TAPHD4 0303-4216 90, 1 (2003).
8. P. Alivisatos, Semiconductor Nanocrystals: From Scaling Laws to Biological Applications, Conference on Quantum Electronics and Laser Science (QELS) (Technical Digest Series, 2000).
9. P. Bhattacharya, A. D. Stiff-Roberts, S. Krishna, and S. Kennerly, Int. J. High Speed Electron. Syst. IHSSEF 0129-1564 10.1142/S0129156402001885 12, 969 (2002).
10. D. Bimberg, M. Grandmann, and N. N. Lendenstov, Quantum Dot Heterostructures (Wiley, New York, 1996).
11. D. Bimberg, Semiconductors SMICES 1063-7826 10.1134/1.1187810 33, 951 (1999).
12. J. Tersoff, C. Teichert, and M. G. Lagally, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1675 76, 1675 (1996).
13. A. J. Williamson and A. Zunger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.6724 58, 6724 (1998).
14. M. Grundmann, O. Stier, and D. Bimberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.11969 52, 11969 (1995).
15. S. Bandhyopadhyay and H. S. Nalwa, Quantum Dots and Nanowires (American Scientific Publishers, CA, 2003).
16. F. Glas, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1394158 90, 3232 (2001).
17. H. T. Johnson and L. B. Freund, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/S0020-7683(00)00072-X 38, 1045 (2001).
18. J. R. Downes, D. A. Faux, and E. P. O'Reilly, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.365210 81, 6700 (1997).
19. J. H. Davies, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.368205 84, 1358 (1998).
20. L. B. Freund and H. T. Johnson, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(01)00039-4 49, 1925 (2001).
21. P. Sharma and S. Ganti, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/1521-3951(200210)233:33.0.CO;2-E 233, R10 (2002).
22. A. E. Romanov, G. E. Beltz, W. T. Fischer, P. M. Petroff, and J. S. Speck, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1352681 89, 4523 (2001).
23. E. Pan and B. Yang, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1415542 90, 6190 (2001).
24. M. Yang, J. C. Sturm, and J. Prevost, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.1973 56, 1973 (1997).
25. S. W. Ellaway and D. A. Faux, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1500421 92, 3027 (2002).
26. J. Singh, Physics of Semiconductors and Their Heterostructures (McGraw-Hill Higher Education, New York, 1992).
27. J. K. Diao, K. Call, and M. L. Dunn, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2004.03.009 52, 1935 (2004).
28. P. Sharma and S. Ganti, J. Appl. Mech. JAMCAV 0021-8936 10.1115/1.1781177 71, 663 (2004).
29. P. Sharma, S. Ganti, and N. Bhate, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1539929 82, 535 (2003).
30. R. Dingreville, J. M. Qu, and M. Cherkaoui, J. Mech. Phys. Solids JMPSA8 0022-5096 53, 1827 (2005).
31. S. Cuenot, C. Fretigny, S. Demoustier-Champagne, and B. Nysten, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.165410 69, 165410 (2004).
32. L. H. He, C. W. Lin, and B. S. Wu, Int. J. Solids Struct. IJSOAD 0020-7683 41, 847 (2004).
33. C. W. Lin and L. H. He, Int. J. Mech. Sci. IMSCAW 0020-7403 46, 1715 (2004).
34. R. C. Cammarata and K. Sieradzki, Annu. Rev. Mater. Sci. ARMSCX 0084-6600 10.1146/annurev.matsci.24.1.215 24, 215 (1994).
35. C. Morant, S. Garcia-Manyes, F. Sanz, J. M. Sanz, and E. Elizalde, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/16/5/014 16, S211 (2005).
36. T. C. Chang and H. J. Gao, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(03)00006-1 51, 1059 (2003).
37. H. L. Duan, J. Wang, Z. P. Huang, and B. L. Karihaloo, J. Mech. Phys. Solids JMPSA8 0022-5096 53, 1574 (2005).
38. D. C. C. Lam, F. Yang, A. C. M. Chong, J. Wang, and P. Tong, J. Mech. Phys. Solids JMPSA8 0022-5096 51, 1477 (2003).
39. C. T. Sun and H. T. Zhang, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1530365 93, 1212 (2003).
40. R. E. Miller and V. B. Shenoy, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/11/3/301 11, 139 (2000).
41. A. Alizadeh, P. Sharma, S. Ganti, S. LeBoeuf, and L. Tsakalakos, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1737477 95, 8199 (2004).
42. H. Ibach, Surf. Sci. Rep. SSREDI 0167-5729 10.1016/S0167-5729(97)00010-1 29, 193 (1997).
43. M. E. Gurtin and A. I. Murdoch, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 57, 291 (1975).
44. M. E. Gurtin, J. Weissmuller, and F. Larche, Philos. Mag. A PMAADG 0141-8610 10.1080/014186198253138 78, 1093 (1998).
45. P. Muller and A. Saul, Surf. Sci. Rep. SSREDI 0167-5729 10.1016/j.surfrep.2004.05.001 54, 157 (2004).
46. C. Eringen, Non-Local Continuum Field Theories (Springer-Verlag, New York, 2002).
47. H. Kleinert, Gauge Fields in Condensed Matter, 2nd ed. (World Scientific, Singapore, 1989).
48. R. D. Mindlin, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/0020-7683(65)90006-5 1, 417 (1965).
49. T. Mura, Micromechanics of Defects in Solids (Martinus Nijhoff, Hague, The Netherlands, 1987).
50. O. D. Kellogg, Foundation of Potential Theory (Dover, New York, 1953).
51. G. W. Gibbsons and B. F. Whiting, Nature (London) NATUAS 0028-0836 10.1038/291636a0 291, 636 (1981).
52. Z. Q. Cheng and L. H. He, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/0020-7225(94)00065-R 33, 389 (1995).
53. Z. Q. Cheng and L. H. He, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/S0020-7225(96)00104-8 35, 659 (1997).
54. J. D. Eshelby, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 241, 376 (1957).
55. D. A. Faux, J. R. Downes, and E. P. O'Reilly, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.365738 82, 3754 (1997).
56. A. D. Prins and D. J. Dunstan, Philos. Mag. Lett. PMLEEG 0950-0839 58, 37 (1988).
57. R. W. Keyes, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1931171 33, 3371 (1962).
58. A. D. Andreev, J. R. Downes, and D. A. Faux, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.370728 86, 297 (1999).
59. A. C. Eringen, Nonlocal Continuum Field Theories (Springer, New York, 2002).
60. B. Altan and E. C. Aifantis, Scr. Metall. Mater. SCRMEX 0956-716X 10.1016/0956-716X(92)90194-J 26, 319 (1992).
61. D. P. DiVincenzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.5450 34, 5450 (1986).
62. A. Lenz, R. Timm, H. Eisele, C. H. Hennig, S. K. Becker, R. L. Sellin, U. W. Pohl, D. Bimberg, and M. Dahne, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1533109 81, 5150 (2002).
63. M. Moreno, A. Trampert, B. Jenichen, L. Daweritz, and K. H. Ploog, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1506402 92, 4672 (2002).
64. M. S. Miller, J-O. Malm, M. E. Pistol, S. Jeppesen, B. Kowalski, K. Georgsson, and L. Samuelson, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.363248 80, 3360 (1996).
65. Q. Xie, A. Madhukar, P. Chen, and N. P. Kobayashi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2542 75, 2542 (1995).
66. G. S. Solomon, J. A. Trezza, A. F. Marshall, and J. S. Harris, Jr., Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.952 76, 952 (1996).
67. L. N. Trefethen, Spectral Methods in Matlab (SIAM, Philadelphia, 2000).
68. Y. P. Chiu, J. Appl. Mech. JAMCAV 0021-8936 44, 587 (1977).
69. G. Faivre, Phys. Status Solidi PHSSAK 0031-8957 35, 249 (1964).
70. D. Gottlieb and C. W. Shu, SIAM Rev. SIREAD 0036-1445 10.1137/S0036144596301390 39, 644 (1997).
71. H. Nozaki and M. Taya, J. Appl. Mech. JAMCAV 0021-8936 10.1115/1.1362670 68, 441 (2001).
72. G. L. Bir and G. E. Pickus, Symmetry and Strain Induced Effects in Semiconductors (John Wiley, New York, 1974).
73. T. B. Bahder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.1629 45, 1629 (1992).
74. F. H. Pollak, in Strained-Layer Superlattices, edited by, T. Pearsall,, Semiconductors and Semimetals (Academic, Boston, 1990).
75. H. Jiang and J. Singh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56. 4696 56, 4696 (1997).
76. C. Pryor, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.7190 57, 7190 (1998).
77. A. Zunger, MRS Bull. MRSBEA 0883-7694 23, 35 (1998).
78. M. Yu, Y. Kakehashi, and H. Tanaka, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.352 49, 352 (1994).
79. M. Grundmann, O. Stier, and D. Bimberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.11969 52, 11969 (1995).