Thermal step bunching and interstep attraction on the vicinal surface with adsorption

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 12, 2003, Pages

  Akutsu, Noriko ^a   Akutsu, Yasuhiro ^b   Yamamoto, Takao ^c  

^a OSAKA ELECTRO COMMUNICATION UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

^c GUNMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; ALGORITHM; ARTICLE; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; SOLID STATE; TEMPERATURE DEPENDENCE; THERMAL ANALYSIS; THERMODYNAMICS;

EID: 0037880581     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.125407     Document Type: Article

References (85)

1. M.C. Desjonquéres and D. Spanjaard, Concepts in Surface Physics, 2nd ed. (Springer-Verlag, Berlin, 1993).
2. Chemistry and Physics of Solid Surface VII, edited by R. Vanselow and R. Howe (Springer Verlag, Berlin, 1988).
3. H.-C. Jeong and E D. Williams, Surf. Sci. Rep.34, 171 (1999).
4. A. Pimpinelli and J. Villain, Physics of Crystal Growth (Cambridge University Press, Cambridge, 1998).
5. W K. Burton, N. Cabrela, and F C. Frank, Philos. Trans. R. Soc. London, Ser. A243, 299 (1951).
6. Growth and Perfection of Crystals, edited by R.H. Doremus, B.W. Roberts, and D. Turnbull (Wiley, New York, 1958);
7. A. Ookawa, Crystal Growth (Syōkabō, Tokyo, 1977), in Japanese.
8. Y. Saito, Statistical Physics of Crystal Growth (World Scientific, Singapore, 1996).
9. E E. Gruber and W W. Mullins, J. Phys. Chem. Solids28, 6549 (1967);
10. V L. Pokrovsky and A L. Talapov, Phys. Rev. Lett.42, 65 (1979);
11. V L. PokrovskyA L. TalapovSov. Phys. JETP51, 134 (1980).
12. F D M. Haldane and J. Villain, J. Phys. (Paris)42, 1673 (1981).
13. T. Izuyama and Y. Akutsu, J. Phys. Soc. Jpn.51, 50 (1982);
14. J. Phys. Soc. Jpn.T. Yamamoto and T. Izuyama, 56, 632 (1987).
15. C. Jayaprakash, W F. Saam, and S. Teitel, Phys. Rev. Lett.50, 2017 (1983).
16. H J. Schultz, J. Phys. (Paris)46, 257 (1985);
17. G F. Gallet, P. Noziéres, S. Balibar, and E. Rolley, Europhys. Lett.2, 701 (1986).
18. H. van Beijeren and I. Nolden, Structure and Dynamics of Surfaces, edited by W. Schommers and P. von Blancken-hagen, Vol. 2, p. 259 (Springer-Verlag, Berlin, 1987).
19. Y. Akutsu, N. Akutsu, and T. Yamamoto, Phys. Rev. Lett.61, 424 (1988).
20. T. Yamamoto, Y. Akutsu, and N. Akutsu, J. Phys. Soc. Jpn.57, 453 (1988).
21. N C. Bartelt, T L. Einstein, and E D. Williams, Surf. Sci.240, L591 (1990);
22. B. Joós, T L. Einstein, and N C. Bartelt, Phys. Rev. B43, 8153 (1991).
23. S R. White, Phys. Rev. Lett.69, 2863 (1992).
24. T. Nishino, J. Phys. Soc. Jpn.64, 3598 (1995).
25. T. Nishino and K. Okunishi, J. Phys. Soc. Jpn.64, 4084 (1995).
26. Y. Hieida, K. Okunishi, and Y. Akutsu, Phys. Lett. A233, 464 (1997).
27. K. Okunishi, Y. Hieida, and Y. Akutsu, Phys. Rev. B59, 6806 (1999).
28. K. Okunishi, Y. Hieida, and Y. Akutsu, Phys. Rev. B60, R6953 (1999).
29. N. Akutsu, Y. Akutsu, and T. Yamamoto, Phys. Rev. B64, 085415 (2001).
30. N. Akutsu, Y. Akutsu, and T. Yamamoto, Prog. Theor. Phys.105, 361 (2001).
31. N. Akutsu, Y. Akutsu, and T. Yamamoto, Surf. Sci.493, 475 (2001).
32. K. Sogo, Y. Akutsu, and T. Abe, Prog. Theor. Phys.70, 739 (1983);
33. T T. Truong and M. den Nijs, J. Phys. A19, L645 (1986).
34. M. den Nijs, J. Phys. A18, L549 (1985).
35. B. M. McCoy and T. T. Wu, The Two-dimensional Ising Model (Harvard University Press, Cambridge, 1973).
36. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
37. A F. Andreev, Zh. EksP. Theor. Fiz. 80, 2042 (1981) [Sov. Phys. JETP53, 1063 (1982)].
38. J B. Kogut, Rev. Mod. Phys.51, 659 (1979).
39. J J. Métois and J C. Heyraud, Surf. Sci.180, 647 (1987);
40. Surf. Sci.J M. Bermond, J J. Métois, X. Egea, and F. Floret, 330, 48 (1995);
41. Surf. Sci.J M. Bermond, J J. Métois, J C. Heyraud, and F. Floret, 416, 430 (1998).
42. T. Suzuki, J J. Métois, and K. Yagi, Surf. Sci.339, 105 (1995);
43. T. Suzuki, H. Minoda, Y. Tanishiro, and K. Yagi, Surf. Rev. Lett.6, 985 (1999).
44. K. Arenhold, S. Surnev, H P. Bonzel, and P. Wynblatt, Surf. Sci.424, 271 (1999);
45. S. Surnev, K. Arenhold, P. Coenen, B. Voightländer, k H P. Bonzel, and P. Wynblatt, J. Vac. Sci. Technol. A16, 1059 (1998).
46. T. Ohachi and I. Taniguchi, J. Cryst. Growth65, 84 (1983);
47. A V. Babkin, K O. Keshishev, D B. Kopeliovich, and A.Ya. Parshin, JETP Lett.39, 633 (1984);
48. P E. Wolf, G F. Gallet, S. Balibar, E. Rolley, and P. Noziéres, J. Phys. (Paris)46, 1987 (1985).
49. J E. Avron, J E. Taylor, and R K P. Zia, J. Stat. Phys.33, 493 (1983).
50. C. Rottman and M. Wortis, Phys. Rep.103, 59 (1984).
51. E D. Williams and N C. Bartelt, Ultramicroscopy31, 36 (1989).
52. N C. Bartelt, T L. Einstein, and C. Rottman, Phys. Rev. Lett.66, 961 (1991).
53. E D. Williams and N C. Bartelt, Science251, 393 (1991).
54. H. Hibino and T. Ogino, Phys. Rev. Lett.72, 657 (1993);
55. T. Ogino, H. Hibino, and Y. Homma, Crit. Rev. Solid State Mater. Sci.24, 227 (1999).
56. Da-Jiang Liu, J D. Weeks, M D. Johnson, and E D. Williams, Phys. Rev. B55, 7653 (1997).
57. C. Herring, Phys. Rev.82, 87 (1951).
58. C. Rottman and M. Wortis, Phys. Rev. B24, 6274 (1981);
59. J E. Avron, H. van Beijeren, L S. Schulman, and R K P. Zia, J. Phys. A15, L81 (1982).
60. Y. Akutsu and N. Akutsu, J. Phys. A19, 2813 (1986).
61. G. Parisi, Statistical Field Theory (Addison-Wesley, Redwood City, California, 1988).
62. D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, New York, 1978).
63. N. Akutsu and Y. Akutsu, J. Phys. Soc. Jpn.65, 1233 (1996).
64. K. Sudoh, T. Yoshinobu, H. Iwasaki, and E D. Williams, Phys. Rev. Lett.80, 5152 (1998).
65. V B. Shenoy, S. Zhang, and W F. Saam, Phys. Rev. Lett.81, 3475 (1998).
66. M. Horn-von Hoegen, H. Minoda, K. Yagi, F J. Meyer zu Heringdorf, D. Kähler, and Th. Schmidt, Surf. Sci.402-404, 464 (1998);
67. M. Horn-von Hoegen, F.-J. Meyer zu Heringdorf, D. Kähler, Th. Schmidt, and E. Bauer, Thin Solid Films336, 16 (1998);
68. H. Minoda, K. Yagi, F.-J. Meyer zu Heringdorf, A. Meier, D. Kähler, and M. Horn-von Hoegen, Phys. Rev. B59, 2363 (1999).
69. H. Minoda and K. Yagi, Phys. Rev. B60, 2715 (1999).
70. J S. Ozcomert, W W. Pai, N C. Bartelt, and J E. Reutt-Robey, Phys. Rev. Lett.72, 258 (1994);
71. J S. OzcomertW W. PaiN C. BarteltJ E. Reutt-RobeyJ. Vac. Sci. Technol. A12, 2224 (1994).
72. R A. Marbrow and R M. Lambert, Surf. Sci.71, 107 (1978).
73. J B. Maxson, D E. Savage, F. Liu, R M. Tromp, M C. Reuter, and M G. Lagally, Phys. Rev. Lett.85, 2152 (2000).
74. M. Aono, Y. Fukui, T. Urano, K. Ojima, and M. Yoshimura, Surf. Sci.507-510, 417 (2002).
75. Y. Takahashi, H. Minoda, Y. Tanishiro, and K. Yagi, Surf. Sci.433-435, 512 (1999).
76. S. Fölsch, G. Meyer, K H. Rieder, M. Horn-von Hoegen, T. Schmidt, and M. Henzler, Surf. Sci.394, 60 (1997).
77. M. Henzler, D. Thielking, M. Horn-von Hoegen, and V. Sielasek, Physica A261, 1 (1998).
78. K. Fujita, Y. Kusumi, and M. Ichikawa, Appl. Phys. Lett.68, 631 (1996);
79. K. FujitaY. KusumiM. IchikawaSurf. Sci.357-358, 490 (1996);
80. K. FujitaY. KusumiM. IchikawaPhys. Rev. B58, 1126 (1998).
81. H. Suzuki, H. Nakahara, S. Miyata, and A. Ichimiya, Surf. Sci.493, 166 (2001).
82. A. Natori, Jpn. J. Appl. Phys., Part 133, 3538 (1994);
83. Jpn. J. Appl. Phys., Part 1S. Stoyanov, 30, 1 (1991);
84. A V. Latyshev, A L. Aseev, A B. Krasilnikov, and S I. Stenin, Surf. Sci.213, 157 (1989);
85. M. Sato, M. Uwaha, and Y. Saito, Phys. Rev. B62, 8452 (2000).