Disordered flat phase and phase diagram for restricted solid-on-solid models of fcc (110) surfaces

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 19, 1996, Pages 13169-13186

  Santoro, Giuseppe ^a   Vendruscolo, Michele ^a   Prestipino, Santi ^a   Tosatti, Erio ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042985244     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.13169     Document Type: Article

References (41)

1. J. C. Campuzano, M. S. Foster, G. Jennings, R. F. Willis and W. Unertl, Phys. Rev. Lett. 54, 2684 (1985).
2. J. Sprösser, B. Salanon and J. Lapujoulade, Europhys. Lett. 16, 283 (1991).
3. D. Cvetko, A. Lausi, A. Morgante, F. Tommasini, and K. C. Prince, Surf. Sci. 269/270, 68 (1991), and references therein.
4. I. K. Robinson, E. Vlieg and K. Kern, Phys. Rev. Lett. 63, 2578 (1989);M. Kryzowski and K. Kern (private communication).
5. K. Kern, in Phase Transitions in Surface Films 2, Vol. 267 of NATO Advanced Studies Institute, Series B: Physics, edited by H. Taub et. al (Plenum Press, New York, 1990), p. 269, and references therein.
6. Y. Cao and E. H. Conrad, Phys. Rev. Lett. 64, 447 (1990).
7. M. Garofalo, E. Tosatti and F. Ercolessi, Surf. Sci. 188, 321 (1987).
8. A. Trayanov, A. C. Levi and E. Tosatti, Europhys. Lett. 8, 657 (1989).
9. J. Villain and I. Vilfan, Surf. Sci. 199, 165 (1988).
10. J. Kohanoff, G. Jug and E. Tosatti, J. Phys. A 23, L209 (1990).
11. J. Kohanoff, G. Jug and E. Tosatti, J. Phys. A 23, 5625 (1990).
12. I. Vilfan and J. Villain, Surf. Sci. 257, 368 (1991).
13. M. den Nijs, Phys. Rev. B 46, 10t386 (1992).
14. L. Balents and M. Kardar, Phys. Rev. B 46, 16t031 (1992).
15. G. Mazzeo, G. Jug, A. C. Levi and E. Tosatti, Surf. Sci. 273, 237 (1992).
16. G. Mazzeo, G. Jug, A. C. Levi and E. Tosatti, Europhys. Lett. 22, 39 (1993).
17. For a review, see M. Bernasconi and E. Tosatti, Surf. Sci. Rep. 17, 363 (1993).
18. M. den Nijs, Phys. Rev. Lett. 64, 435 (1990).
19. G. Jug and E. Tosatti, Phys. Rev. B 42, 969 (1990).
20. M. den Nijs and K. Rommelse, Phys. Rev. B 40, 4709 (1989).
21. H. van Beijeren, Phys. Rev. Lett. 38, 993 (1977).
22. G. Santoro and M. Fabrizio, Phys. Rev. B 49, 13t886 (1994).
23. A beautiful discussion of the physics of 1D quantum spin systems and the connections to the disordered flat phase of SOS models is given by den Nijs and Rommelse in Ref. 15. Relevant studies on quantum-spin chains are also: T. Kennedy and H. Tasaki, Commun. Math. Phys. 147, 431 (1992).
24. K. Hida, Phys. Rev. B 45, 2207 (1992).
25. F. D. M. Haldane, Phys. Rev. B 25, 4925 (1982).
26. F. D. M. Haldane, Phys. Rev. B 26, 5257 (E) (1982).
27. J. D. Weeks, in Ordering in Strongly Fluctuating Condensed Matter System, Vol. 50 of NATO Advanced Studies Institute Series B: Physics, edited by T. Riste (Plenum, New York, 1979).
28. J. Kohanoff and E. Tosatti (unpublished).
29. J. B. Kogut, Rev. Mod. Phys. 51, 659 (1979).
30. K. Nomura and K. Okamoto, J. Phys. A 27, 5773 (1994).
31. J. Sólyom, Adv. Phys. 28, 201 (1979).
32. H. J. Schulz and T. Ziman, Phys. Rev. B 33, 6545 (1986).
33. P. J. M. Bastiaansen and H. J. F. Knops, Phys. Rev. B 53, 126 (1996).
34. G. Mazzeo, E. Carlon and H. van Beijeren, Phys. Rev. Lett. 74, 1391 (1995).
35. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
36. The renormalization is performed by scaling the cutoff α→(Formula presented)α with l>0. See, for instance, T. Giamarchi and H. J. Schulz, J. Phys. (Paris) 49, 819 (1988).
37. C. K. Madjumdar and D. K. Ghosh, J. Phys. C 3, 911 (1970).
38. For a quite detailed and elementary account of models having simple ground states of this type see, for instance, W. J. Caspers, Spin Systems (World Scientific, Singapore, 1989).
39. F. Ercolessi, M. Parrinello and E. Tosatti, Philos. Mag. A 58, 213 (1988).
40. A. C. Levi, R. Spadacini, and G. E. Tommei, in The Structure of Surface II, edited by J. F. van der Veen and A. Hove (Springer-Verlag, Berlin, 1988), Vol. 11.
41. L. Kuipers, M. S. Hoogeman, and J. W. M. Frenken, Phys. Rev. Lett. 71, 3517 (1993).