Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Two mechanisms forming a comblike step pattern induced by a moving linear adatom source

Masahide Sato1, Hitoshi Miura2, and Makio Uwaha3,4

  • 1Information Media Center, Kanazawa University, Kakuma-machi, Kanazawa 920-1192, Japan
  • 2Department of Information and Basic Science, Nagoya City University, Mizuho-cho, Mizuho-ku, Nagoya 467-8501, Japan
  • 3Center for General Education, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-cho, Toyota 470-0392, Japan
  • 4Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan

Phys. Rev. E 95, 032803 – Published 17 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032803

Abstract

We carry out phase field simulations to study properties of the comblike step patterns induced by an adatom source. When an adatom source advances right in front of a step, step wandering is caused by the asymmetry of the surface diffusion field and small protrusions are formed. If the velocity of the source Vp is smaller than a critical value Vpc, the protrusions follow the adatom source with coarsening of the step pattern, and a regular comblike pattern with finger-like protrusions is formed. With a sufficiently small Vp, the gap of the supersaturation is large at the adatom source. Since the period of protrusions, Λ, decreases with increasing Vp, the coarsening of step pattern is irrelevant for the protrusions to catch up with the adatom source. Near Vpc, the gap of the supersaturation at the adatom source is small. Taking account of the increase in Λ with increasing Vp, the coarsening of the step pattern is essential for the protrusions to follow the adatom source.

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. R. L. Schwoebel and E. J. Shipsey, J. Appl. Phys. 37, 3682 (1966).
  2. R. L. Schwoebel, J. Appl. Phys. 40, 614 (1969).
  3. G. Ehrlich and F. G. Hudda, J. Chem. Phys. 44, 1039 (1966).
  4. G. S. Bales and A. Zangwill, Phys. Rev. B 41, 5500 (1990).
  5. I. Bena, C. Misbah, and A. Valance, Phys. Rev. B 47, 7408 (1993).
  6. Y. Saito and M. Uwaha, Phys. Rev. B 49, 10677 (1994).
  7. T. Maroutian, L. Douillard, and H.-J. Ernst, Phys. Rev. Lett. 83, 4353 (1999).
  8. T. Maroutian, L. Douillard, and H.-J. Ernst, Phys. Rev. B 64, 165401 (2001).
  9. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 55, 356 (1976).
  10. G. I. Sivashinsky, Acta Astronaut. 4, 1177 (1977).
  11. O. Pierre-Louis and C. Misbah, Phys. Rev. B 58, 2276 (1998).
  12. O. Pierre-Louis, C. Misbah, Y. Saito, J. Krug, and P. Politi, Phys. Rev. Lett. 80, 4221 (1998).
  13. M. Sato and M. Uwaha, Phys. Rev. E 60, 7120 (1999).
  14. M. Degawa, H. Nishimura, Y. Tanishiro, H. Minoda, and K. Yagi, Jpn. J. Appl. Phys. 38, L308 (1999).
  15. M. Degawa, H. Minoda, Y. Tanishiro, and K. Yagi, Surf. Sci. 461, L528 (2000).
  16. J.-F. Nielsen, M. S. Pettersen, and J. P. Pelz, Surf. Sci. 480, 84 (2001).
  17. M. Sato, M. Uwaha, and Y. Saito, Phys. Rev. B 62, 8452 (2000).
  18. M. Sato, M. Uwaha, Y. Saito, and Y. Hirose, Phys. Rev. B 65, 245427 (2002).
  19. M. Sato and M. Uwaha, J. Phys. Soc. Jpn. 65, 2146 (1996).
  20. H. Hibino, H. Kageshima, and M. Uwaha, Surf. Sci. 602, 2421 (2008).
  21. S. Kondo, M. Sato, M. Uwaha, and H. Hibino, Phys. Rev. B 84, 045420 (2011).
  22. S. Kondo, M. Kawaguchi, M. Sato, and M. Uwaha, J. Cryst. Growth 362, 6 (2013).
  23. M. Kawaguchi, H. Miura, K. Kishi, M. Sato, and M. Uwaha, Phys. Rev. E 91, 012409 (2015).
  24. K. Kishi, M. Kawaguchi, H. Miura, M. Sato, and M. Uwaha, e-J. Surf. Sci. Nanotechnol. 13, 269 (2015).
  25. E. Brener, H. Müller-Krumbhaar, and D. Temkin, Phys. Rev. E 54, 2714 (1996).
  26. E. Brener, M. Geilikman, and D. Temkin, Sov. Phys. JETP 67, 1002 (1988).
  27. A. Karma and M. Plapp, Phys. Rev. Lett. 81, 4444 (1998).
  28. A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998).
  29. A. Karma and W.-J. Rappel, Phys. Rev. E 60, 3614 (1999).
  30. G. Boussinot and E. A. Brener, Phys. Rev. E 88, 022406 (2013).
  31. We regard y as a height variable.
  32. P. Pelcé, Europhys. Lett. 7, 453 (1988).
  33. In Fig. 6, the old data [23] with Vp=5×103 are used for small Vp instead of Vp=4×103 since the two velocities are very close.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation