Magnetization profile in the d = 2 semi-infinite Ising model and crossover between ordinary and normal transition

International Journal of Modern Physics B

Volumn 11, Issue 17, 1997, Pages 2075-2091

  Czerner, Peter ^a   Ritschel, Uwe ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

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[No Author keywords available]

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EID: 0000642291     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979297001076     Document Type: Article

References (31)

1. For reviews on surface critical phenomena see K. Binder, in Phase Transitions and Critical Phenomena, Vol. 8, eds. C. Domb and J. L. Lebowitz (Academic, London, 1983) and Ref. 2.
2. H. W. Diehl, in Phase Transitions and Critical Phenomena, Vol. 10. eds. C. Domb and J. L. Lebowitz (Academic, London, 1986).
3. T. C. Lubensky and M. H. Rubin, Phys. Rev. B12, 3885 (1975).
4. A. J. Bray and M. A. Moore, J. Phys. A10, 1927 (1977).
5. U. Ritschel and P. Czerner, Phys. Rev. Lett. 77, 3645 (1996).
6. P. Czerner and U. Ritschel, Physica, A237, 240 (1997).
7. A. Ciach and U. Ritschel, Nucl. Phys. B, in print.
8. B. McCoy and T. T. Wu, Phys. Rev. 162, 436 (1967).
9. K. Binder and P. C. Hohenberg, Phys. Rev. B6, 3461 (1972); H. Au-Yang and M. E. Fisher, Phys. Rev. B11, 3469 (1975); see also Ref. 1.
10. K. Binder and P. C. Hohenberg, Phys. Rev. B6, 3461 (1972); H. Au-Yang and M. E. Fisher, Phys. Rev. B11, 3469 (1975); see also Ref. 1.
11. H. Au-Yang, J. Math. Phys. 14, 937 (1973); H. Au-Yang and M. E. Fisher. Phys. Rev. B21, 3956 (1980).
12. H. Au-Yang, J. Math. Phys. 14, 937 (1973); H. Au-Yang and M. E. Fisher. Phys. Rev. B21, 3956 (1980).
13. L. V. Mikheev and M. S. Fisher, Phys. Rev. Lett. 70, 186 (1993); Phys. Rev. B49, 378 (1994).
14. L. V. Mikheev and M. S. Fisher, Phys. Rev. Lett. 70, 186 (1993); Phys. Rev. B49, 378 (1994).
15. R. Konik, A. LeClair and G. Mussardo, Int. J. Mod. Phys. A11, 2765 (1996).
16. R. Z. Bariev, Theo. Math. Phys. 77, 1090 (1988).
17. R. Chatterjee and A. Zamolodchikov, Mod. Phys. Lett. A9, 227 (1994), see also R. Chatterjee, Nucl. Phys. B468 [FS], 461 (1996).
18. R. Chatterjee and A. Zamolodchikov, Mod. Phys. Lett. A9, 227 (1994), see also R. Chatterjee, Nucl. Phys. B468 [FS], 461 (1996).
19. In Ref. 5 the surface exponents were additionally labelled with the superscript "ord" in order to distinguish exponents of the various surface universality classes existing in d = 3. Since in the present work we focus on d = 2, this distinction is not necessary; the surface exponents appearing all belong to the universality class of the ordinary transition.
20. K. Symanzyk, Nucl. Phys. B190 [FS3], 1 (1981); H. W. Diehl and S. Dietrich, Z. Phys. B42, 65 (1981).
21. K. Symanzyk, Nucl. Phys. B190 [FS3], 1 (1981); H. W. Diehl and S. Dietrich, Z. Phys. B42, 65 (1981).
22. J. L. Cardy, Nucl. Phys. B240 [FS12], 514 (1984).
23. G. Gompper, Z. Phys. B56, 217 (1984).
24. See e.g. J. F. Cardy, Finite Size Scaling (North-Holland, Amsterdam, 1988) for an overview.
25. 2.
26. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987).
27. J.-S. Wang, Physica A161, 249 (1989).
28. 1 have different values.
29. X. Mailänder, H. Dosch, J. Peisl and R. L. Johnson, Phys. Rev. Lett. 64, 2527 (1990).
30. N. S. Desai, S. Peach and C. Franck, Phys. Rev. E52, 4129 (1995).
31. 13 examined a slightly more general system with different coupling strengths in directions parallel and perpendicular to the surface. We restrict our presentation to the isotropic case.