Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice

Journal of the Physical Society of Japan

Volumn 71, Issue 12, 2002, Pages 2936-2943

  Suzuki, Yohichi ^a,c   Kitahara, Kazuo ^b   Fujitani, Youhei ^a   Kinouchi, Sumie ^b,d  

^a KEIO UNIVERSITY   (Japan)

^b INTERNATIONAL CHRISTIAN UNIVERSITY   (Japan)

^c NTT Network Service Systems Laboratories   (Japan)

^d TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Correlation effect; Correlation factor; Diffusion coefficient; Impurity diffusion; Projection operator; Self diffusion

Indexed keywords

DIAMOND;

ARTICLE; CALCULATION; CONCENTRATION (PARAMETERS); CORRELATION FUNCTION; CRYSTAL STRUCTURE; DIFFUSION; DIFFUSION COEFFICIENT; SIMULATION; SOLID; STOCHASTIC MODEL;

EID: 0036910721     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.71.2936     Document Type: Article

References (50)

1. P. A. Packan: MRS Bull. 25 (2000) 18.
2. H. Bracht: MRS Bull. 25 (2000) 22.
3. H. D. Fuchs, W. Walukiewicz, E. E. Haller, W. Dondl, R. Schorer, G. Abstreiter, A. I. Rudnev, A. V. Tikhomirov and V. I. Ozhogin: Phys. Rev. B 51 (1995) 16817.
4. L. Wang, J. A. Wolk, L. Hsu, E. E. Haller, J. W. Erickson, M. Cardona, T. Ruf, J. P. Silveira and F. Briones: Appl. Phys. Lett. 70 (1997) 1831.
5. H. Bracht, E. E. Haller and R. Clark-Phelps: Phys. Rev. Lett. 81 (1998) 393.
6. H. Bracht, E. E. Haller, K. Eberl and M. Cardona: Appl. Phys. Lett. 74 (1999) 49.
7. H. Bracht, M. Norseng, E. E. Haller, K. Eberl and M. Cardona: Solid State Commun. 112 (1999) 301.
8. A. Ural, P. B. Griffin and J. D. Plummer: Phys. Rev. Lett. 83 (1999) 3454.
9. H. Bracht, S. P. Niclols, W. Walukiewicz, J. P. Silveira, F. Briones and E. E. Haller: Nature 408 (2000) 69.
10. H. Bracht, S. P. Niclols, E. E. Haller, J. P. Silveira and F. Briones: J. Appl. Phys. 89 (2001) 5393.
11. Microscopic mechanism is here expected to make the distribution tend to a Gaussian distribution with its variance being proportional to t as t is larger.
12. H. Bracht and E. E. Haller: Phys. Rev. Lett. 85 (2000) 4835; A. Ural, P. B. Griffin and J. D. Plummer: Phys. Rev. Lett. 85 (2000) 4836.
13. H. Bracht and E. E. Haller: Phys. Rev. Lett. 85 (2000) 4835; A. Ural, P. B. Griffin and J. D. Plummer: Phys. Rev. Lett. 85 (2000) 4836.
14. M. E. Glicksman: Diffusion in Solids (John Wiley, New York, 2000) Chap. 13-16.
15. J. Bardeen and C. Herring: Imperfections in Nearly Perfect Crystals, ed. W. Shockley (John-Wiley, New York, 1952) p. 261.
16. R. E. Howard: Phys. Rev. 144 (1966) 650.
17. S. Ishioka and M. Koiwa: Philos. Mag. A 41 (1980) 385.
18. K. Compaan and Y. Haven: Trans. Faraday Soc. 52 (1956) 786; ibid. 54 (1958) 1498.
19. K. Compaan and Y. Haven: Trans. Faraday Soc. 52 (1956) 786; ibid. 54 (1958) 1498.
20. M. Koiwa and S. Ishioka: J. Stat. Phys. 30 (1983) 477.
21. G. L. Montet: Phys. Rev. B 7 (1973) 650.
22. S. Ishioka and M. Koiwa: Philos. Mag. A 37 (1978) 517.
23. M. Koiwa and S. Ishioka: Philos. Mag. A 40 (1979) 625.
24. I.A. Szabó, M. Koiwa and S. Ishioka: Philos. Mag. B 64 (1991) 83.
25. P. A. Fedders and O. F. Sankey: Phys. Rev. B 15 (1977) 3580; ibid. 15 (1977) 3586; ibid. 18 (1978) 5938; ibid. 20 (1979) 39; ibid. 22 (1980) 5135.
26. P. A. Fedders and O. F. Sankey: Phys. Rev. B 15 (1977) 3580; ibid. 15 (1977) 3586; ibid. 18 (1978) 5938; ibid. 20 (1979) 39; ibid. 22 (1980) 5135.
27. P. A. Fedders and O. F. Sankey: Phys. Rev. B 15 (1977) 3580; ibid. 15 (1977) 3586; ibid. 18 (1978) 5938; ibid. 20 (1979) 39; ibid. 22 (1980) 5135.
28. P. A. Fedders and O. F. Sankey: Phys. Rev. B 15 (1977) 3580; ibid. 15 (1977) 3586; ibid. 18 (1978) 5938; ibid. 20 (1979) 39; ibid. 22 (1980) 5135.
29. P. A. Fedders and O. F. Sankey: Phys. Rev. B 15 (1977) 3580; ibid. 15 (1977) 3586; ibid. 18 (1978) 5938; ibid. 20 (1979) 39; ibid. 22 (1980) 5135.
30. K. Nakazato and K. Kitahara: Prog. Theor. Phys. 64 (1980) 2261.
31. R. A. Tahir-Kheli and R. J. Elliott: Phys. Rev. B 27 (1983) 844.
32. G. E. Murch: Philos. Mag. A 49 (1984) 21.
33. S. W. Kelly and C. A. Sholl: J. Phys. C 20 (1987) 5293.
34. R. A. Tahir-Kheli: Phys. Rev. B 35 (1987) 5503.
35. P. C. W. Holdsworth, R. J. Elliott and R. A. Tahir-Kheli: Phys. Rev. B 34 (1986) 3221.
36. Truncating a hierarchy of the master equations by decoupling three-point correlation functions, Holdsworth et al.29) obtained a set of simultaneous equations to calculate the correlation factor. However, without deriving an explicit solution algebraically, they only numerically solved this set, consisting of many equations, for each of a honeycomb lattice and a diamond lattice.
37. K. Kitahara and K. Nakazato: Point Defects and Defect Interactions in Metals (Univ. of Tokyo Press, Tokyo, 1982) p. 586.
38. M. Doi: J. Phys. A 9 (1976) 1479.
39. F. Haake: Springer Tracts Mod. Phys. 66 (1973) 98.
40. W. Feller: An Introduction to Probability Theory and Its Applications (McGraw-Hill, New York 1960) Vol. II.
41. Y. Takahashi: Jikkansu to Fourier Kaiseki 2 (Real Functions and Fourier Analysis 2) (Iwanami, Tokyo, 1996) [in Japanese].
42. J. R. Manning: Phys. Rev. 136 (1964) A1758.
43. R. Kutner and K. W. Kehr: Philos. Mag. A 48 (1983) 199.
44. H. Sato and R. Kikuchi: J. Chem. Phys. 55 (1971) 677.
45. G. E. Murch and R. J. Thorn: Philos. Mag. A 36 (1977) 517.
46. P. M. Fahey, P. B. Griffin and J. D. Plummer: Rev. Mod. Phys. 61 (1989) 289.
47. R. E. Howard and J. R. Manning: Phys. Rev. 154 (1967) 561.
48. J. R. Manning: Phys. Rev. 116 (1959) 819; ibid. 128 (1962) 2169.
49. J. R. Manning: Phys. Rev. 116 (1959) 819; ibid. 128 (1962) 2169.
50. G. Neumann: Phys. Status Solidi 144 (1987) 329.