Massive field-theory approach to surface critical behavior in three-dimensional systems

Nuclear Physics B

Volumn 528, Issue 3, 1998, Pages 595-647

  Diehl, H W ^a   Shpot, M ^a,b  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

Author keywords

Field theory; Pad Borel estimates; Renormalization group; Surface critical phenomena

Indexed keywords

EID: 0032555878     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00489-1     Document Type: Article

References (102)

1. [1] K.G. Wilson and J. Kogut, Phys. Rep. 12C (1974) 75.
2. [2] C. Domb and M.S. Green, eds., Phase Transitions and Critical Phenomena, Vol. 6 (Academic Press, London, 1976).
3. [3] J. Zinn-Justin, Euclidean Field Theory and Critical Phenomena (Oxford Univ. Press, New York, 1989).
4. [4] K.G. Wilson and M.E. Fisher, Phys. Rev. Lett. 28 (1972) 240.
5. [5] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; G. 't Hooft, Nucl. Phys. B 61 (1973) 465.
6. [5] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; G. 't Hooft, Nucl. Phys. B 61 (1973) 465.
7. [6] S.G. Gorishny, S.A. Larin and F.V. Tkachov, Phys. Lett. A 101 (1984) 120.
8. [7] H. Kleinert, J. Neu, V. Schulte-Frohlinde, K.G. Chetyrkin, and S.A. Larin, Phys. Lett. B 272 (1991) 39.
9. [8] K. Symanzik, Lett. Nuovo Cimento 8 (1973) 771.
10. [9] M.C. Bergère and F. David, Ann. Phys. (N.Y.) 142 (1982) 416.
11. [10] G. Parisi, J. Stat. Phys. 23 (1980) 49.
12. [11] J.C. Le Guillou and J. Zinn-Justin, J. Phys. Lett. France 46 L(1985) L137; J. Phys. France 48 (1987) 19; 50 (1989) 1365.
13. [11] J.C. Le Guillou and J. Zinn-Justin, J. Phys. Lett. France 46 L(1985) L137; J. Phys. France 48 (1987) 19; 50 (1989) 1365.
14. [11] J.C. Le Guillou and J. Zinn-Justin, J. Phys. Lett. France 46 L(1985) L137; J. Phys. France 48 (1987) 19; 50 (1989) 1365.
15. [12] V. Privman, P.C. Hohenberg and A. Aharony, in Phase Transitions and Critical Phenomena, ed. C. Domb and J.L. Lebowitz, Vol. 14 (Academic Press, London, 1991) p. 1.
16. [13] V. Dohm, Z. Phys. B 60 (1985) 61.
17. [14] R. Schloms and V. Dohm, Nucl. Phys. B 328 (1989) 639.
18. [15] H.W. Diehl and S. Dietrich, Phys. Lett. 80 A (1980) 408.
19. [16] H.W. Diehl and S. Dietrich, Z. Phys. B 42 (1981) 65.
20. [17] H.W. Diehl and S. Dietrich, Phys. Rev. B 24 (1981) 2878; Z. Phys. B 50 (1983) 117.
21. [17] H.W. Diehl and S. Dietrich, Phys. Rev. B 24 (1981) 2878; Z. Phys. B 50 (1983) 117.
22. [18] K. Symanzik, Nucl. Phys. B 190 (1981) 1.
23. [19] H.W. Diehl, in Phase Transitions and Critical Phenomena, ed. C. Domb and J.L. Lebowitz, Vol. 10, (Academic, London, 1986) p. 75.
24. [20] H.W. Diehl, Int. J. Mod. Phys. B 11 (1997) 3503, preprint cond-mat/9610143.
25. [21] K. Binder, in Phase Transitions and Critical Phenomena, ed. C. Domb and J.L. Lebowitz, Vol. 8 (Academic, London, 1983) p. 1.
26. [22] G.A. Baker, Jr., B.G. Nickel, M.S. Green, and D.I. Meiron, Phys. Rev. Lett. 36 (1976) 1351.
27. [23] G.A. Baker, Jr., B.G. Nickel and D.I. Meiron, Phys. Rev. B 17 (1978) 1365.
28. [24] J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. B 21 (1980) 3976.
29. [25] C. Bagnuls and C. Bervillier, Phys. Rev. B 32 (1985) 7209.
30. [26] C. Bagnuls, C. Bervillier, D.I. Meiron and B.G. Nickel, Phys. Rev. B 35 (1987) 3585.
31. [27] G. Parisi, Statistical Field Theory (Addison-Wesley, Redwood City, 1988).
32. [28] C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Vol. I (Cambridge Univ. Press, Cambridge, 1989).
33. [29] G.S. Pawley, R.H. Swendsen, D.J. Wallace, and K.G. Wilson, Phys. Rev. B 29 (1984) 4030.
34. [30] A.J. Liu and M.E. Fisher, Physica A 156 (1989) 35.
35. [31] F.J. Halfkann and V. Dohm, Z. Phys. B 89 (1992) 79.
36. [32] G. Münster and J. Heitger, Nucl. Phys. B 424 (1994) 582.
37. [33] N.A. Shpot, Phys. Lett. A 142 (1989) 474.
38. [34] I.O. Mayer, A.I. Sokolov and B.N. Shalayev, Ferroel. 95 (1989) 93.
39. [35] C. Bervillier and M. Shpot, Phys. Rev. B 46 (1992) 955.
40. [36] Yu. Holovatch and M. Shpot, J. Stat. Phys. 66 (1992) 867.
41. [37] J. Reeve, A.J. Guttmann and B. Keck, Phys. Rev. B 26 (1982) 3923.
42. [38] H.W. Diehl and M. Shpot, Phys. Rev. Lett. 73 (1994) 3431.
43. [39] H. Meirovitch and S. Livne, J. Chem. Phys, 88 (1988) 4507.
44. [40] D.P. Landau and K. Binder, Phys. Rev. B 41 (1990) 4633.
45. [41] M. Vendruscolo, M. Rovere, and A. Fasolino, Europhys. Lett. 20 (1992) 547.
46. [42] C. Ruge, S. Dunkelmann and F. Wagner, Phys. Rev. Lett. 69 (1992) 2465; C. Ruge, S. Dunkelmann, F. Wagner and J. Wulff, J. Stat. Phys. 73 (1993) 293.
47. [42] C. Ruge, S. Dunkelmann and F. Wagner, Phys. Rev. Lett. 69 (1992) 2465; C. Ruge, S. Dunkelmann, F. Wagner and J. Wulff, J. Stat. Phys. 73 (1993) 293.
48. [43] R. Hegger and P. Grassberger, J. Phys. A 27 4069 (1994).
49. [44] C. Ruge and F. Wagner, Phys. Rev. B 52 (1995) 4209.
50. [45] E. Eisenriegler, K. Kremer and K. Binder, J. Chem. Phys. 77 (1982) 6296.
51. [46] E. Eisenriegler, Polymers Near Surfaces (World Scientific, Singapore, 1993).
52. [47] H.W. Diehl and E, Eisenriegler, Phys. Rev. B 30 (1984) 300; Phys. Rev. Lett. 48 (1982) 1767.
53. [47] H.W. Diehl and E, Eisenriegler, Phys. Rev. B 30 (1984) 300; Phys. Rev. Lett. 48 (1982) 1767.
54. [48] B. Nienhuis, Phys. Rev. Lett. 49 (1982) 1062; Int. J. Mod. Phys. 4 (1990) 929.
55. [48] B. Nienhuis, Phys. Rev. Lett. 49 (1982) 1062; Int. J. Mod. Phys. 4 (1990) 929.
56. [49] M.T. Batchelor, preprint cond-mat/9608067, to appear in Statistical Models, Yang-Baxter Equation and Related Topics, ed. M.L. Ge and F.Y. Wu (World Scientific, Singapore, 1996).
57. [50] E. Brézin, J.C. Le Guillou and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, Vol. 6, ed. C. Domb and M.S. Green (Academic Press, London, 1976) p. 125.
58. [51] D.J. Amit, Field Theory, The Renormalization Group and Critical Phenomena (World Scientific, Singapore, 1984).
59. [52] C. Bagnuls and C. Bervillier, Phys. Rev. B 24 (1981) 1226.
60. [53] H.W. Diehl, G. Gompper and W. Speth, Phys. Rev. B 31 (1985) 5841.
61. [54] Handbook of Mathematical Functions, ed. M. Abramowitz and I. Stegun (Dover, New York, 1965).
62. [55] J.P. Eckmann, J. Magnen and R. Sénéor, Commun. Math. Phys. 39 (1975) 251; J.S. Feldman and K. Osterwalder, Ann. Phys. (NY) 97 (1976) 80; J. Magnen and R. Sénéor, Commun. Math. Phys. 56 (1977) 237; J.P. Eckmann and H. Epstein, Commun. Math. Phys. 68 (1979) 245.
63. [55] J.P. Eckmann, J. Magnen and R. Sénéor, Commun. Math. Phys. 39 (1975) 251; J.S. Feldman and K. Osterwalder, Ann. Phys. (NY) 97 (1976) 80; J. Magnen and R. Sénéor, Commun. Math. Phys. 56 (1977) 237; J.P. Eckmann and H. Epstein, Commun. Math. Phys. 68 (1979) 245.
64. [55] J.P. Eckmann, J. Magnen and R. Sénéor, Commun. Math. Phys. 39 (1975) 251; J.S. Feldman and K. Osterwalder, Ann. Phys. (NY) 97 (1976) 80; J. Magnen and R. Sénéor, Commun. Math. Phys. 56 (1977) 237; J.P. Eckmann and H. Epstein, Commun. Math. Phys. 68 (1979) 245.
65. [55] J.P. Eckmann, J. Magnen and R. Sénéor, Commun. Math. Phys. 39 (1975) 251; J.S. Feldman and K. Osterwalder, Ann. Phys. (NY) 97 (1976) 80; J. Magnen and R. Sénéor, Commun. Math. Phys. 56 (1977) 237; J.P. Eckmann and H. Epstein, Commun. Math. Phys. 68 (1979) 245.
66. [56] G.A. Baker, Jr., Essentials of Padé Approximants (Academic, New York, 1975).
67. [57] G. Jug, Phys. Rev. B 27 (1983) 609.
68. [58] H.W. Diehl and A. Nüsser, Z. Phys. B 79 (1990) 69.
69. [59] M. Pleimling and W. Selke, Eur. Phys. J. B 1 (1998) 385, preprint cond-mat/9710097.
70. [60] H.W. Diehl, Eur. Phys. J. B 1 (1998) 401.
71. [61] H.W. Diehl, S. Dietrich and E. Eisenriegler, Phys. Rev. B 27 (1983) 2937.
72. [62] H.W. Diehl and A. Nüsser, Phys. Rev. Lett. 56 (1986) 2834.
73. [63] K. De'Bell, T. Lookman and S.G. Whittington, Phys. Rev. A 41 (1990) 682.
74. [64] K. De'Bell, T. Lookman, J. Phys. A 18 (1985) L457.
75. [65] M. Kikuchi and Y. Okabe, Progr. Theor. Phys. 73 (1985) 32.
76. [66] D.P. Landau, R. Pandey and K. Binder, Phys. Rev. B 39 (1989) 12302.
77. [67] H. Dosch, Critical Phenomena at Surfaces and Interfaces, Vol. 126, Springer Tracts in Modern Physics (Springer, Berlin, 1992).
78. [68] L. Sigl and W. Fenzl, Phys. Rev. Lett. 57 (1986) 2191.
79. [69] S. Dietrich and H. Wagner, Phys. Rev. Lett. 51 (1983) 1469.
80. [70] S. Dietrich and H. Wagner, Z. Phys. B 56 (1984) 207.
81. [71] S. Dietrich and A. Haase, Phys. Rep. 260 (1995) 1.
82. [72] L. Mailänder, H. Dosch, J. Peisl and R.L. Johnson, Phys. Rev. Lett. 64 (1990) 2527; H. Dosch, L. Mailänder, R.L. Johnson and J. Peisl, Surf. Sci. 279 (1992) 367.
83. [72] L. Mailänder, H. Dosch, J. Peisl and R.L. Johnson, Phys. Rev. Lett. 64 (1990) 2527; H. Dosch, L. Mailänder, R.L. Johnson and J. Peisl, Surf. Sci. 279 (1992) 367.
84. [73] K. Binder, in Phase Transformations in Materials, Vol. 5 of Materials Science and Technology, ed. R.W. Cahn, P. Haasen and E.J. Kramer (VCH Verlagsgesellschaft mbH, Weinheim, 1991) pp. 143-212.
85. [74] W. Helbing, B. Dünweg, K. Binder and D.P. Landau, Z. Phys. B 80 (1990) 401.
86. [75] R. Leidl, unpublished.
87. [76] S. Krimmel, W. Donner, B. Nickel, H. Dosch, C. Sutter and G. Grübel, Phys. Rev. Lett. 78 (1997) 3880.
88. [77] F. Schmid, Z. Phys. B 91 (1992) 77.
89. [78] A. Drewitz, R. Leidl, T.W. Burkhardt and H.W. Diehl, Phys, Rev. Lett. 78 (1997) 1090.
90. [79] R. Leidl and H.W. Diehl, Phys. Rev. B 57 (1998) 1908.
91. [80] H.W. Diehl and A. Ciach, Phys. Rev. B 44 (1991) 6642.
92. [81] H.W. Diehl, Phys. Rev. B 49 (1994) 2846.
93. [82] U. Ritschel, Phys. Rev. B 57 (1997) R693.
94. [83] B. Burandt, W. Press and S. Haussühl, Phys. Rev. Lett. 71 (1993) 1188.
95. [84] K. Ohno, Y. Okabe and A. Morita, Prog. Theor. Phys. 71 (1984) 714.
96. [85] S.F. Alvarado, M. Campagna and H. Hopster, Phys. Rev. Lett. 48 (1982) 51; S.F. Alvarado, M. Campagna, F. Ciccacci and H. Hopster, J. Appl. Phys. 53 (1982) 7920.
97. [85] S.F. Alvarado, M. Campagna and H. Hopster, Phys. Rev. Lett. 48 (1982) 51; S.F. Alvarado, M. Campagna, F. Ciccacci and H. Hopster, J. Appl. Phys. 53 (1982) 7920.
98. [86] S.A. Antonenko and A.I. Sokolov, Phys. Rev. E 51 (1995) 1894.
99. [87] D.J. Wallace, in Phase Transitions and Critical Phenomena, ed. C. Domb and M.S. Green (Academic Press, London, 1976), Vol. 6, Ch. 5, p. 302.
100. [88] A. Prudnikov, Yu. A. Brychkov and O.I. Marichev, Integrals and Series, Vol. 1: Elementary Functions (Gordon and Breach, New York, 1986).
101. [89] A. Prudnikov, Yu.A. Brychkov and O.I. Marichev, Integrals and Series, Vol. 2: Special Functions (Gordon and Breach, New York, 1986).
102. [90] A. Devoto and D.W. Duke, Riv. Nuovo Cim. 7 (1984) 1.