Correlations in nanoscale step fluctuations: Comparison of simulation and experiments

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 11, 2006, Pages

  Szalma, F ^a   Dougherty, D B ^a,b   Degawa, M ^a   Williams, Ellen D ^a   Haftel, Michael I ^c   Einstein, T L ^a  

^a Bldg 142   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

^c NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645025349     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.115413     Document Type: Article

References (44)

1. For a general introduction to crystal surface phenomena, see A. Pimpinelli and J. Villain, Physics of Crystal Growth (Cambridge University Press, Cambridge, UK, 1998).
2. For a review of vicinal surfaces, see H.-C. Jeong and E. D. Williams, Surf. Sci. Rep. SSREDI 0167-5729 10.1016/S0167-5729(98)00010-7 34, 171 (1999).
3. M. Ranganathan, D. B. Dougherty, W. G. Cullen, T. Zhao, J. D. Weeks, and E. D. Williams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.225505 95, 225505 (2005).
4. M. Degawa, F. Szalma, and E. D. Williams, Surf. Sci. SUSCAS 0039-6028 583, 126 (2005).
5. L. Kuipers, M. S. Hoogeman, J. W. M. Frenken, and H. van Beijeren, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.11387 52, 11387 (1995).
6. S. Speller, W. Heiland, A. Biederman, E. Platzgummer, C. Nagl, M. Schmid, and P. Varga, Surf. Sci. SUSCAS 0039-6028 331-333, 1056 (1995).
7. S. Kodambaka, S. V. Khare, I. Petrov, and J. E. Green, Surf. Sci. Rep. SSREDI 0167-5729 60, 55 (2006).
8. F. Szalma, Hailu Gebremariam, and T. L. Einstein, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.035422 71, 035422 (2005).
9. N. C. Bartelt, T. L. Einstein, and E. D. Williams, Surf. Sci. SUSCAS 0039-6028 10.1016/0039-6028(92)90718-L 276, 308 (1992).
10. N. Akutsu and Y. Akutsu, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/35/302 11, 6635 (1999).
11. Assuming corner contributions are negligible, the kink energy is half the step energy per lattice spacing a [i.e., the excess energy is that of the new link at 60°from the step links minus the missing half link along the step due to the kink-cf. the "awning approximation" of R. C. Nelson, T. L. Einstein, S. V. Khare, and P. J. Rous, Surf. Sci. SUSCAS 0039-6028 10.1016/0039-6028(93)90293-S 295, 462 (1993)]. We get the simple equation since the step energy per lattice spacing is just ENN, viz., half the two broken "bonds" in forming a close-packed step on a {111} surface.
12. N. C. Bartelt, R. M. Tromp, and E. D. Williams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1656 73, 1656 (1994);
13. N. C. Bartelt and R. M. Tromp, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.11731 54, 11731 (1996).
14. A. B. Bortz, M. H. Kalos, and J. L. Lebowitz, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(75)90060-1 17, 10 (1975).
15. M. I. Haftel and M. Rosen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.4426 51, 4426 (1995);
16. M. I. Haftel and M. Rosen, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(98)00067-3 407, 16 (1998).
17. H. S. Lim, C. K. Ong, and F. Ercolessi, Surf. Sci. SUSCAS 0039-6028 269/270, 1109 (1992).
18. T. J. Stasevich, Hailu Gebremariam, T. L. Einstein, M. Giesen, C. Steimer, and H. Ibach, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.245414 71, 245414 (2005).
19. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Clarendon, Oxford, 1999).
20. R. K. P. Zia, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01020575 45, 801 (1986).
21. C. Bombis, A. Emundts, M. Novicki, and H. P. Bonzel, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(02)01554-6 511, 83 (2002).
22. F. Szalma, W. Selke, and S. Fisher, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00035-8 294, 313 (2001).
23. T. Ihle, C. Misbah, and O. Pierre-Louis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.2289 58, 2289 (1998).
24. F. Szalma and E. D. Williams (unpublished).
25. Daniel B. Dougherty, Ph.D. dissertation, University of Maryland, 2004.
26. M. Giesen, Prog. Surf. Sci. PSSFBP 0079-6816 10.1016/S0079-6816(00)00021- 6 68, 1 (2001).
27. U. Kürpick, P. Kürpick, and T. S. Rahman, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(97)00140-4 383, L713 (1997).
28. C. Kittel, Introduction to Solid State Physics, 7th ed. (Wiley, New York, 1996).
29. J. Zhong, T. Zhang, Z. Zhang, and M. G. Lagally, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.113403 63, 113403 (2001).
30. Y. Shim and J. G. Amar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.035423 73, 035423 (2006).
31. M. Giesen, G. S. Icking-Konert, D. Stapel, and H. Ibach, Surf. Sci. SUSCAS 0039-6028 366, 228 (1996).
32. M. Poensgen, J. F. Wolf, J. Frohn, M. Giesen, and H. Ibach, Surf. Sci. SUSCAS 0039-6028 10.1016/0039-6028(92)90848-Z 274, 430 (1992).
33. M. Giesen and G. Schulze Icking-Konert, Surf. Sci. SUSCAS 0039-6028 412-413, 645 (1998).
34. S. V. Khare and T. L. Einstein, Surf. Sci. SUSCAS 0039-6028 10.1016/0039-6028(94)90207-0 314, L857 (1994).
35. P. J. Feibelman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.4972 60, 4972 (1999).
36. M. Giesen-Seibert, F. Schmitz, R. Jentjens, and H. Ibach, Surf. Sci. SUSCAS 0039-6028 10.1016/0039-6028(95)00055-0 329, 47 (1995).
37. M. Giesen, C. Steimer, and H. Ibach, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(00)00888-8 471, 80 (2001).
38. P. J. Feibelman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.11118 60, 11118 (1999).
39. P. Stoltze, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/45/004 6, 9495 (1994).
40. M. Karimi, T. Tomkowski, G. Vidali, and O. Biham, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.5364 52, 5364 (1995).
41. L. Vitos, H. L. Skriver, and J. Kollár, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(99)00184-3 425, 212 (1999).
42. A. Emundts, M. Nowicki, and H. P. Bonzel, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(01)01614-4 496, L35 (2002).
43. K. Arenhold, S. Surnev, H. P. Bonzel, and P. Wynblatt, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(99)00074-6 424, 271 (1999).
44. P. J. Feibelman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.17020 62, 17020 (2000).