Theory of phase transitions in two-dimensional systems

Advances in Physics

Volumn 47, Issue 1, 1998, Pages 1-89

  Gulácsi, Zsolt ^a   Gulácsi, Miklós ^b  

^a UNIVERSITY OF DEBRECEN   (Hungary)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; PHYSICS; THEORY;

COUPLING CONSTANTS; TEMPERATURE DOMAIN;

PHASE TRANSITIONS;

EID: 0031677870     PISSN: 00018732     EISSN: 14606976     Source Type: Journal    
DOI: 10.1080/000187398243564     Document Type: Article

References (122)

1. Albeverio, S., and Krohn, R. H., 1973, Commun. math. Phys., 30, 171.
2. Alder, B. J., and Wainwright, T. A., 1962, Phys. Rev., 127, 359.
3. Amit, D. J., 1987, Field Theory, the Renormalization Group, and Critical Phenomena (New York: McGraw-Hill).
4. Amit, D. J., Goldschmidt, Y. Y., and Grinstein, G., J. Phys. A, 13, 585.
5. Amit, D. J., Goldschmidt, Y. Y., and Peliti, L., 1978, Ann. Phys. (NY), 116, 1.
6. Anderson, P. W., and Yuval, G., 1971, J. Phys. C, 4, 607.
7. Anderson, P. W., Yuval, G., and Hamann, D. R., 1970, Phys. Rev. B, 1, 4464.
8. Ashcroft, N. W., and Mermin, N. D., 1976, Solid State Physics (Philadelphia, Pennsylvania: Saunders College Publishing), chapter 30.
9. Banks, T., Horn, D., and Neuberger, H., 1976, Nucl. Phys. B. 108, 119.
10. Banks, T., Myerson, R., and Kogut, J., 1977, Nucl. Phys. B, 129, 493.
11. Bartholomew, J., 1983, Phys. Rev. B, 28, 5378.
12. Baskaran, G., and Anderson, P., 1988, Phys. Rev., 37, 580.
13. Berezinskii, V. I., 1970, Soviet Phys. JETP,32, 493.
14. Binney, J. J., Dowrick, N. J., Fisher, A. J., and Newman, M. E. J., 1993, The Theory of Critical Phenomena, An Introduction to the Renormalization Group (Oxford: Clarendon), chapter 5.
15. Bishop, D. J., and Reppy, J., 1978, Phys. Rev. Lett., 40, 1727.
16. Brandt, E. H., 1995, Rep. Prog. Phys., 58, 1465.
17. Brezin, E., le Guillou, J. C., and Zinn-Justin, J., 1976, Phase Transitions and Critical Phenomena, Vol. 6, edited by D. Domb and M. S. Green (New York: Academic Press).
18. Brezin, E., and Zinn-Justin, J., 1976a, Phys. Rev. Lett., 36, 691.
19. Brezin, E., and Zinn-Justin, J.,1976b, Phys. Rev. B, 14, 3110.
20. Brout, R., 1974, Phys. Rep. C, 10, 1.
21. Brydges, D., 1978, Commun. math. Phys., 58, 313.
22. Bulaevskij, L. N., Meshkov, S. V., and Feinberg, D., 1991, Phys. Rev. B. 43, 3728.
23. Cataudella, V., and Minnhagen, P., 1990, Physica C, 166, 442.
24. Chakravarty, S., Kivelson, S., Zimanyi, G., and Halperin, B., 1987, Phys. Rev. Lett., 35, 7256.
25. Chattopadhyay, B., and Shenoy, S. R., 1994, Phys. Rev. Lett., 72, 400.
26. Choi, J., and Jose, J., 1988, Phys. Rev. Lett., 62, 320.
27. Choi, M. H., and Lee, S. I., 1995, Phys. Rev. B. 51, 6680.
28. Chui, S. T., and Lee, P. A., 1975, Phys. Rev. Lett., 35, 315.
29. Chui, S. T., and Weeks, J. D., 1976, Phys. Rev. B, 14, 4978.
30. Coleman, S., 1975, Phys. Rev. D, 11, 2088.
31. Dasgupta, C., and Halperin, B., 1981, Phys. Rev. Lett., 47, 1556.
32. den Nijs, M. P. M., 1981, Phys. Rev. B, 23, 6111.
33. Feigelman, M. V., Geshkenbein, V. B., and Larkin, A. I., 1990, Physica. C, 167, 177.
34. Fetter, A., 1974, Phys. Rev. A, 10, 1724.
35. Feynman, R., 1955, Prog. Low Temp. Phys., 1, 473.
36. Fischer, K. H., 1993, Physica. C, 210, 179.
37. Fried el, J., 1964, Dislocations (Oxford: Pergamon), p. 40.
38. Fried el, J., 1988, J. Phys., Paris, 49, 1561.
39. Fröhlich, J., 1975, Phys. Rev. Lett., 34, 833.
40. Fröhlich, J.,1976, Renormalization Theory, edited by G. Velo and A. S. Wightman (Boston, Massachusetts: Reidel).
41. Fröhlich, J., and Seiler, E., 1976, Helv. Phys. Acta, 49, 889.
42. Gilliou, J., and Zinn-Justin, J., 1989, Phys. Rev. B, 21, 3976.
43. Goldenfeld, N., 1992, Lectures on Phase Transitions and Renormalization Group, Frontiers in Physics, Vol. 85 (Reading, Massachusetts: Addison-Wesley), chapter 11.
44. Gradshteyn, I. S., and Ryzhik, I. M., 1965, Tables of Integrals, Series and Products (New York: Academic Press).
45. Grinstein, G., Lubensky, T., and Toner, J., 1985, Phys. Rev. B, 33, 3306.
46. Gross, D. J., 1976, Proceedings of Les Houches Summer School XXVIII, edited by R. Balian and J. Zinn-Justin (Amsterdam: North-Holland).
47. Gulacsi, Zs., Gulacsi, M., and Pop, I., 1988, Phys. Rev. B, 37, 2247.
48. Halperin, B., 1981, Physics of Defects, Proceedings of the Les Houches Session 35, edited by R. Balian, M. Kleman and J. Parier (Amsterdam: North-Holland).
49. Halperin, B. I., and Hohenberg, P. C., 1967, Phys. Rev. Lett., 19, 700.
50. Halperin, B. I., and Hohenberg, P. C.,1969, Phys. Rev., 177, 952.
51. Hauge, E. H., and Hemmer, C. P., 1971, Phys. Norvegica, 5, 209.
52. Hikami, S., and Tsuneto, T., 1980, Progr. theor. Phys., Osaka, 63, 387.
53. Hohenberg, P. C., 1967, Phys. Rev., 158, 383.
54. Jackson, J., 1975, Classical Electrodynamics (New York: Wiley), p. 181.
55. Jacobs, L., Jose, J., Novotny, M., and Goldmann, A., 1988, Phys. Rev. B, 38, 4562.
56. Janke, W., and Kleinert, H., 1980, Phys. Rev. Lett., 57, 279.
57. Jose, J. V., Kadanoff, L. P., Kirkpatrick, S., and Nelson, D. R., 1977, Phys. Rev. B, 16, 1217.
58. Kane, J. W., and Kadanoff, L. P., 1967, Phys. Rev., 155, 80.
59. Kaufman, B., and Onsager, L., 1949, Phys. Rev., 76, 1244.
60. Kohring, G., and Schröck, R., 1987, Nucl. Phys. B. 288, 397.
61. Kohring, G., Schröck, R. E., and Wills, P., 1986, Phys. Rev. Lett., 57, 1358.
62. Kohring, G., Schröck, R. E., and Wills, P.,1988, Phys. Rev. Lett., 61, 2970.
63. Kosterlitz, J. M., 1974, J. Phys. C, 7, 1046.
64. Kosterlitz, J. M., and Thou less, D. J., 1973, J. Phys. C, 6, 1181.
65. Knops, H. J. F., 1977, Phys. Rev. Lett., 39, 766.
66. Knops, H. J. F., and den Ouden, L. W. J., 1980, Physica, A, 103, 597.
67. Kramers, H. A., and Wannier, G. H., 1941, Phys. Rev., 60, 252.
68. Labastida, J., Sanchez-Velasco, E., Schröck, R., and Wills, P., 1986, Nucl. Phys. B, 264, 393.
69. Landau, L. D., and Lifshitz, E. M., 1976, Statistical Physics (Reading, Massachusetts: Addison-Wesley), revised version of the 1958 edition.
70. Lau, M., and Dasgupta, C., 1989, Phys. Rev. B, 39, 7212.
71. Lawrence, W. E., and Doniach, S., 1971, Proceedings of the International Conference on Low-Temperature Physics, Kyoto, 1971, edited by E. Kanda (Tokyo), p. 361.
72. Lobb, C. J., 1984, Physica B-C, 126, 319.
73. Luther, A., 1976, Phys. Rev. B, 14, 2153.
74. Luther, A., and Emery, V. J., 1974, 33, 589.
75. Ma, S.-K., 1976, Modern Theory of Critical Phenomena (New York: Benjamin).
76. Majid, I., Djordjevic, Z., and Stanley, H., 1983, Phys. Rev. Lett., 51, 1282.
77. Mandelstam, S., 1975, Phys. Rev. D, 11, 3026.
78. Marchta, J., and Cuyer, R., 1988, Phys. Rev. Lett., 60, 2054.
79. Martin, S., Fiory, A., Fleming, R., Espinosa, G., and Cooper, A., 1989, Phys. Rev. Lett., 62, 677.
80. Mermin, N. D., 1968, Phys. Rev., 176, 250.
81. Mermin, N. D., and Wagner, H., 1966, Phys.Rev.Lett.,17,1133.
82. Minnhagen, P., and Olsson, P., 1992, Physicascripta,42,29.
83. Minnhagen, P., Rosengren, A., and Grinstein, G., 1978, Phys. Rev. B. 18, 1356.
84. Moore, M. A., 1969, Phys. Rev. Lett., 23, 861.
85. Munehisa, Y., 1985, Phys. Rev. D, 31, 1522.
86. Nabarro, F. R. N., 1967, Theory of Crystal Dislocations (Oxford: Pergamon), pp. 688-690.
87. Nakamura, A., and Matsui, T., 1988, Phys. Rev. B, 37, 7940.
88. Nelson, D., 1983, Phase Transitions and CriticalPhenomena, Vol.7, edited by C.Domb and J. Lebowitz (New York: Academic Press).
89. Nelson, D., 1988, Phys.Rev.Lett., 60,1973.
90. Nelson, D., and Fisher, D., 1977, Phys. Rev. B, 16, 4945.
91. Nelson, D., and Toner, J., 1981, Phys. Rev. B. 24, 363.
92. Obhukov, S., 1984, J. Phys. A, 17, L965.
93. Pierson, S. W., 1994, Phys. Rev. Lett., 73, 2496.
94. Pierson, S. W., 1995, Phys. Rev. B, 51, 6663.
95. Pierson, S. W., Valls, O. T., and Bahlouli, H., 1992, Phys. Rev. B, 45, 13035.
96. Polyakov, A. M., 1977, Nucl. Phys. B, 120, 429.
97. Rice, T. M., 1966, Phys. Rev. 140, 1889.
98. Rudnick, I., 1978, Phys. Rev. Lett., 40, 1454.
99. Samuel, S., 1978, Phys. Rev. D, 18, 1916.
100. Savit, R., 1980, Rev. mod. Phys., 52, 453.
101. Schotte, K. D., 1970, Z. Phys., 230, 99.
102. Schmeltzer, D., 1988, Int. J. mod. Phys. B, 1, 631.
103. Schneider, T., and Stoll, E., 1976, Phys. Rev. Lett., 36, 1501.
104. Scott, A. C., Chu, F. Y. F., and McLaughlin, D. W., 1973, Proc. Inst, elect, electron. Engrs, 61, 1443.
105. Shenoy, S. R., 1989, Phys. Rev. B, 40, 5056.
106. Spitzer, F., 1964, Principles of Random Walk (Princeton, New Jersey: Van Nostrand), pp. 148-151.
107. Stanley, H. E., 1968, Phys. Rev. Lett., 20, 589.
108. Stanley, H. E.,1971, Introduction to Phase Transitions and Critical Phenomena (Oxford: Clarendon).
109. Stanley, H. E., and Kaplan, T. A., 1966, Phys. Rev. Lett., 17, 913.
110. Symanzik, K., 1973a, Lett. Nuovo Cim., 8, 771.
111. Symanzik, K.,1973b, Proceedings of the 1973 Summet School of IPN, Mexico City, 1973, edited by M. Alexanian and A. Zepeda (Berlin: Springer).
112. Villain, J., 1974, Jour, de Physique, 35, 27.
113. Villain, J.,1975, J. Phys. C, 36, 581.
114. Wegner, F. J., 1967, Z. Phys., 206, 465.
115. Weich man, P. B., 1988, Phys. Rev. Lett., 61, 2969.
116. Wiegel, F. W., 1975, Phys. Rep. C, 16, 57.
117. Wieg mann, P. B., 1978, J. Phys. C, 11, 1583.
118. Williams, G., 1987, Phys. Rev. Lett., 59, 1926.
119. Wilson, K. G., 1971, Phys. Rev. B. 4, 3174, 3184.
120. Wolf, P. E., Gallet, F., Balibar, S., and Rolley, E., 1985, J. Phys., Paris, 46, 1987.
121. Young, A. P., 1978, J. Phys. C, 11, L453.
122. Zittartz, J., 1976, Z. Phys. B, 23, 55, 63.