The theory Of boundary critical phenomena

International Journal of Modern Physics B

Volumn 11, Issue 30, 1997, Pages 3503-3523

  Diehl, H W ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001502047     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979297001751     Document Type: Article

References (83)

1. For a general review of critical behavior at surfaces, see K. Binder, in Phase Transitions and Critical Phenomena, eds. C. Domb and J. L. Lebowitz (Academic Press, London, 1983), Vol. 8, pp. 1-144, and Ref. 2.
2. For background on the field-theory approach to boundary critical behavior, see H. W. Diehl, in Phase Transitions and Critical Phenomena, eds. C. Domb and J. L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75-267.
3. H. W. Diehl and S. Dietrich, Phys. Lett. 80A, 408 (1980).
4. H. W. Diehl and S. Dietrich, Phys. Rev. B24, 2878 (1981).
5. H. W. Diehl and S. Dietrich, Z. Phys. B42, 65 (1981); ibid. 43, 281(E) (1981).
6. H. W. Diehl and S. Dietrich, Z. Phys. B42, 65 (1981); ibid. 43, 281(E) (1981).
7. H. W. Diehl and S. Dietrich, Z. Phys. B50, 117 (1983).
8. S. Dietrich and H. W. Diehl, Z. Phys. B51, 343 (1983).
9. H. W. Diehl, S. Dietrich and E. Eisenriegler, Phys. Rev. B27, 2937 (1983).
10. H. W. Diehl, G. Gompper and W. Speth, Phys. Rev. B31, 5841 (1985).
11. H. W. Diehl and E. Eisenriegler, Europhys. Lett. 4, 709 (1987).
12. E. Eisenriegler and H. W. Diehl, Phys. Rev. B37, 5257 (1988).
13. H. W. Diehl and A. Nüsser, Phys. Rev. Lett. 56, 2834 (1986).
14. A. A. Belavin, A. M. Polyakov and A. B. Zamalodchikov, Nucl. Phys. B241, 333 (1984).
15. J. L. Cardy, Nucl. Phys. B240, 514 (1984).
16. For a review of experimental work, see H. Dosch, Critical Phenomena at Surfaces and Interfaces, Vol. 126 of Springer Tracts in Modern Physics (Springer, Berlin, 1992).
17. B. M. Law, Ber. Bunsenges, Phys. Chem. 98, 472 (1994); D. S. P. Smith and B. M. Law, Phys. Rev. E52, 580 (1995).
18. B. M. Law, Ber. Bunsenges, Phys. Chem. 98, 472 (1994); D. S. P. Smith and B. M. Law, Phys. Rev. E52, 580 (1995).
19. D. M. McAvity and H. Osborn, Nucl. Phys. B394, 728 (1992).
20. M. E. Fisher and P.-G. de Gennes, C. R. Acad. Sci. Paris Série B287, 207 (1978).
21. A. J. Liu and M. E. Fisher, Phys. Rev. A40, 7202 (1989).
22. H. W. Diehl, Ber. Bunsenges. Phys. Chem. 98, 466 (1994).
23. G. Flöter and S. Dietrich, Z. Phys. B97, 213 (1995).
24. For background and references on polymer adsorption, see E. Eisenriegler, Polymers Near Surfaces (World Scientific, Singapore, 1993).
25. H. W. Diehl and P. M. Lam, Z. Phys. B74, 395 (1989).
26. For background and references on quantum impurity problems, see P. Fendley, A. W. W. Ludwig, and H. Saleur, in STATPHYS 19, ed. Hao Bailin (World Scientific, Singapore, 1995), pp. 137-157.
27. K. Symanzik, Nucl. Phys. B190, 1 (1981).
28. M. Krech, Casimir Effect in Critical Systems (World Scientific, Singapore, 1994).
29. H. K. Janssen, B. Schaub and B. Schmittmann, Z. Phys. B73, 539 (1989).
30. H. K. Janssen, in From Phase Transitions to Chaos, eds. G. Györgyi, I. Kondor, L. Sasvari and T. Tel (World Scientific, Singapore, 1992), pp. 68-91.
31. H. W. Diehl and S. Dietrich, in Festkörperprobleme, Vol. XXV of Advances in Solid State Physics, ed. P. Grosse (Vieweg, Braunschweig, 1985), pp. 39-52.
32. H. W. Diehl and H. K. Janssen, Phys. Rev. A45, 7145 (1992).
33. H. W. Diehl, Phys. Rev. B49, 2846 (1994).
34. F. Wichmann and H. W. Diehl, Z. Phys. B97, 251 (1995).
35. B. Widom, J. Chem. Phys. 67, 872 (1977).
36. M. E. Fisher and P. J. Upton, Phys. Rev. Lett. 65, 2402 (1990).
37. M. E. Fisher and P. J. Upton, Phys. Rev. Lett. 65, 3405 (1990).
38. M. E. Fisher, in Critical Phenomena, Proc. 51st. Enrico Summer School, Varenna, Italy, ed. M. S. Green (Academic Press, London, 1971), pp. 73-98.
39. M. N. Barber, in Phase Transitions and Critical Phenomena, eds. C. Domb and J. L. Lebowitz (Academic Press, London, 1983), Vol. 8, pp. 145-266.
40. K. Binder, Ferroelectrics 73, 43 (1987).
41. V. Dohm, in Proceedings of the International Conference RG96 (World Scientific, Singapore, 1996).
42. B. M. McCoy and T. T. Wu, The Two Dimensional Ising Model (Harvard University Press, Cambridge, MA, 1973).
43. T. C. Lubensky and M. H. Rubin, Phys. Rev. B12, 3885 (1975).
44. S. F. Alvarado, M. Campagnad and H. Hopster, Phys. Rev. Lett. 48, 51 (1982).
45. J. S. Reeve and A. J. Guttmann, Phys. Rev. Lett. 45, 1581 (1980).
46. X. Mailänder, H. Dosch, J. Peisl and R. L. Johnson, Phys. Rev. Lett. 64, 2527 (1990).
47. S. Dietrich and H. Wagner, Phys. Rev. Lett. 51, 1469 (1983).
48. S. Dietrich and H. Wagner, Z. Phys. B56, 207 (1984).
49. S. Dietrich and A. Haase, Phys. Rep. 260, 1 (1995).
50. K. Binder, in Phase Transformations in Materials, Vol. 5 of Materials Science and Technology, eds. R. W. Cahn, P. Haasen and E. J. Kramer (VCH Verlagsgesellschaft mbH, Weinheim, 1991), pp. 143-212.
51. A. Aharaony, in Phase Transitions and Critical Phenomena, eds. C. Domb and M. S. Green (Academic Press, London, 1976), pp. 394-406.
52. J. Zinn-Justin, in Quantum Field Theory and Critical Phenomena, International series of monographs on physics (Clarendon Press, Oxford, 1989), Chap. 25, pp. 618-621.
53. D. P. Landau and K. Binder, Phys. Rev. B41, 4633 (1990); K. Binder and D. P. Landau, Phys. Rev. Lett. 52, 3 (1984).
54. D. P. Landau and K. Binder, Phys. Rev. B41, 4633 (1990); K. Binder and D. P. Landau, Phys. Rev. Lett. 52, 3 (1984).
55. C. Ruge and F. Wagner, Phys. Rev. B52, 4209 (1995); C. Ruge, S. Dunkelmann and F. Wagner, Phys. Rev. Lett. 69, 2465 (1992).
56. C. Ruge and F. Wagner, Phys. Rev. B52, 4209 (1995); C. Ruge, S. Dunkelmann and F. Wagner, Phys. Rev. Lett. 69, 2465 (1992).
57. U. Ritschel and P. Czerner, Phys. Rev. Lett. 75, 3882 (1995).
58. H. W. Diehl and A. Ciach, Phys. Rev. B44, 6642 (1991).
59. H. W. Diehl and E. Eisenriegler, Phys. Rev. B30, 300 (1984).
60. H. W. Diehl and M. Shpot, Phys. Rev. Lett. 73, 3431 (1994), and to be published.
61. L. Sigl and W. Fenzl, Phys. Rev. Lett. 57, 2191 (1986).
62. B. Burandt, W. Press and S. Haussühl, Phys. Rev. Lett. 71, 1188 (1993).
63. A. J. Bray and M. A. Moore, J. Phys. A10, 1927 (1977).
64. T. W. Burkhardt and H. W. Diehl, Phys. Rev. B50, 3894 (1994); see also T. W. Burkhardt and J. L. Cardy, J. Phys. A20, L233 (1987).
65. T. W. Burkhardt and H. W. Diehl, Phys. Rev. B50, 3894 (1994); see also T. W. Burkhardt and J. L. Cardy, J. Phys. A20, L233 (1987).
66. H. W. Diehl and M. Smock, Phys. Rev. B47, 5841 (1993); 48, 6740(E) (1993).
67. H. W. Diehl and M. Smock, Phys. Rev. B47, 5841 (1993); 48, 6740(E) (1993).
68. M. Smock, H. W. Diehl and D. P. Landau, Ber. Bunsenges. Phys. Chem. 98, 486 (1994).
69. D. M. McAvity and H. Osborn, Nucl. Phys. 406, 655 (1993); ibid. 455, 522 (1995).
70. D. M. McAvity and H. Osborn, Nucl. Phys. 406, 655 (1993); ibid. 455, 522 (1995).
71. E. Eisenriegler and M. Stapper, Phys. Rev. B50, 10009 (1994); J. L. Cardy, Phys. Rev. Lett. 65, 1443 (1990).
72. E. Eisenriegler and M. Stapper, Phys. Rev. B50, 10009 (1994); J. L. Cardy, Phys. Rev. Lett. 65, 1443 (1990).
73. K. Symanzik, Lett. Nuovo Cimento 8, 771 (1973).
74. U. Ritschel and P. Czerner, Phys. Rev. Lett. 77, 3645; P. Czerner and U. Ritschel, Physica A237, 240 (1996), and to be published.
75. U. Ritschel and P. Czerner, Phys. Rev. Lett. 77, 3645; P. Czerner and U. Ritschel, Physica A237, 240 (1996), and to be published.
76. E. Brézin and S. Leibler, Phys. Rev. B27, 594 (1983).
77. A. Ciach, private communication, and A. Ciach and U. Ritschel, Nucl. Phys. B489, 653 (1997).
78. A. Ciach, private communication, and A. Ciach and U. Ritschel, Nucl. Phys. B489, 653 (1997).
79. A. Drewitz, R. Leidl, T. W. Burkhardt and H. W. Diehl, Phys. Rev. Lett. 78, 1090 (1997), preprint cond-mat/9609245.
80. R. Leidl and H. W. Diehl, Phys. Rev. B, to appear, preprint cond-mat/9707345; R. Leidl, A. Drewitz and H. W. Diehl, Int. J. of Thermophys., to appear, preprint cond-mat/9704215.
81. R. Leidl and H. W. Diehl, Phys. Rev. B, to appear, preprint cond-mat/9707345; R. Leidl, A. Drewitz and H. W. Diehl, Int. J. of Thermophys., to appear, preprint cond-mat/9704215.
82. For earlier work on this matter, see F. Schmidt, Z. Phys. B91, 77 (1993).
83. S. Krimmel, W. Donner, B. Nickel, H. Dosch, C. Sutter and G. Grübel, Phys. Rev. Lett. 78, 3880 (1997).