Pattern formation in the instability of a vicinal surface by the drift of adatoms

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages 7120-7125

  Sato, Masahide ^a,b   Uwaha, Makio ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b GAKUSHUIN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001654255     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.7120     Document Type: Article

References (34)

1. G. Ehrlich and F. G. Hudda, J. Chem. Phys. 44, 1039 (1966).
2. R. L. Schwoebel and E. J. Shipsey, J. Appl. Phys. 37, 3682 (1966).
3. G. S. Bales and A. Zangwill, Phys. Rev. B 41, 5500 (1991).
4. A. Pimpinelli, I. Elkinani, A. Karma, C. Misbah, and J. Villian, J. Phys.: Condens. Matter 6, 2661 (1994).
5. M. Sato and M. Uwaha, Phys. Rev. B 51, 11 172 (1995).
6. S. Stoyanov, Jpn. J. Appl. Phys., Part 1 30, 1 (1991).
7. A. Natori, Jpn. J. Appl. Phys., Part 1 33, 3538 (1994).
8. C. Misbah and O. Pierre-Louis, Phys. Rev. E 53, R4318 (1996).
9. M. Sato and M. Uwaha, J. Phys. Soc. Jpn. 65, 1515 (1996).
10. M. Sato and M. Uwaha, J. Phys. Soc. Jpn. 65, 2146 (1996).
11. M. Sato, M. Uwaha, and Y. Saito, Phys. Rev. Lett. 80, 4233 (1998).
12. D.-J. Liu and J. D. Weeks, Phys. Rev. B 57, 14 891 (1998).
13. S. Stoyanov and V. Tonchev, Phys. Rev. B 58, 1590 (1998).
14. M. Sato and M. Uwaha, J. Phys. Soc. Jpn. 67, 3675 (1998).
15. M. Kasu and N. Kobayashi, Appl. Phys. Lett. 62, 1262 (1993).
16. T. Fukui, J. Ishizaki, S. Hara, J. Motohisa, and H. Hasegawa, J. Cryst. Growth 146, 183 (1995).
17. H.-W. Ren, X.-W. Shen, and T. Nishinaga, J. Cryst. Growth 166, 217 (1996).
18. P. Tejedor, P. Šmilauer, C. Roberts, and B. A. Joyce, Phys. Rev. B 59, 2341 (1998).
19. M. Rost, P. Šmilauer, and J. Krug, Surf. Sci. 369, 393 (1996).
20. O. Pierre-Louis and C. Misbah, Phys. Rev. B 58, 2276 (1998).
21. A. V. Latyshev, A. L. Aseev, A. B. Krasilnikov, and S. I. Stenin, Surf. Sci. 213, 157 (1989).
22. Y. Homma, R. J. McClelland, and H. Hibino, Jpn. J. Appl. Phys., Part 2 29, L2254 (1990).
23. Y.-N. Yang, E. S. Fu, and E. D. Williams, Surf. Sci. 356, 101 (1996).
24. A. V. Latyshev, H. Minoda, Y. Tanishiro, and K. Yagi, Surf. Sci. 401, 22 (1998).
25. D. Kandel and E. Kaxiras, Phys. Rev. Lett. 76, 1114 (1996).
26. The critical velocity (Formula presented) for an isolated step 10 is four times larger than the present one. Our condition here, (Formula presented) is opposite to that of Ref. 10, K, l (Formula presented)
27. (Formula presented) is the variable obtained by taking the continuum limit of (Formula presented) where y implies the step position of the ideal vicinal face. The fluctuation of surface height is given by (Formula presented) is the atomic step height, l is the average step distance).
28. I. Bena, C. Misbah, and A. Valence, Phys. Rev. B 47, 7408 (1993).
29. Y. Kuramoto, Prog. Theor. Phys. 71, 1182 (1984).
30. D. E. Wolf, Phys. Rev. Lett. 67, 1783 (1991).
31. The change of the mesh size does not produce any appreciable change of the pattern.
32. M. Rost and J. Krug, Phys. Rev. Lett. 75, 3894 (1995).
33. C. Alfonso, J. M. Bermond, J. C. Heyraud, and J. J. Métois, Surf. Sci. 262, 371 (1992).
34. H. Yasunaga and A. Natori, Surf. Sci. Rep. 15, 205 (1992).