Abstract
The aim of this series of lectures has been to review several examples of multicritical points, using a phenomenological description, a Landau theory analysis, a scaling theory and a renormalization group analysis. Although we were limited to a small number of examples, it is hoped that the reader is now able to follow the current literature on the subject and to appreciate the large variety of possible multicritical points.
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References
M. Wortis, Phys. Lett. 47A, 445 (1974).
M. Blume, Phys. Rev. 141, 517 (1966); H. W. Capel, Physica 32, 966 (1966).
For a generalized version, see M. Blume, V. J. Emery and R. B. Griffiths, Phys. Rev. A4, 1071 (1971).
R. J. Griffiths, Phys. Rev. B7, 545 (1973).
e.g. R. J. Birgeneau, G. Shirane, M. Blume and W. C. Koehler, Phys. Rev. Lett. 33, 1098 (1974).
M. Blume, L. M. Corliss, J. M. Hastings and E. Schiller, Phys. Rev. Lett. 32, 544 (1974).
M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980).
D. Mukamel and S. Krinsky, Phys. Rev. B13, 5065 (1976).
R. M. Hornreich, M. Luban and S. Shtrikman, Phys. Rev. Lett. 35, 1678 (1975).
A. Aharony and A. D. Bruce, Phys. Rev. Lett. 33, 427 (1974).
M. E. Fisher and D. R. Nelson, Phys. Rev. Lett. 32, 1350 (1974).
A. D. Bruce and A. Aharony, Phys. Rev. B11, 478 (1975).
D. Mukamel, Phys. Rev. B14, 1303 (1976).
A. Aharony, Ann. Israel Phys. Soc. 2, 13 (1978).
A. Aharony, Ferroelectrics 24, 313 (1980).
M. E. Fisher, AIP Conf. Proc. 24, 273 (1975).
S. Galam and A. Aharony, J. Phys. C13, 1065 (1980); 14, 3603 (1981).
E. K. Riedel and F. J. Wegner, Phys. Rev. Lett. 29, 349 (1972).
e.g. L. P. Kadanoff et al., Rev. Mod. Phys. 39, 395 (1967).
J. M. Kosterlitz, D. R. Nelson and M. E. Fisher, Phys. Rev. B13, 412 (1976).
K. G. Wilson and J. Kogut, Phys. Reports 12C, 74 (1974).
M. E. Fisher, Rev. Mod. Phys. 46, 597 (1974).
A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, N.Y., 1976), Vol. 6, p. 357.
F. J. Wegner, ibid,, p. 8.
M. E. Fisher, in Renormalization Group in Critical Phenomena and Quantum Field Theory: Proceeding of a Conference, edited by J. D. Gunton and M. S. Green Temple University, 1973), p. 65.
J. Hubbard, Phys. Lett. A39, 365 (1972).
J. Rudnick and D. R. Nelson, Phys. Rev. B13, 2208 (1976).
J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977) and references.-
A. I. Larkin and D. E. Khmel'nitzkii, Zh. Eksp. Teor. Fiz. 56, 2087 (1969) [Sov. Phys.-JETP 29, 1123 (1969)].
A. Aharony, Phys. Rev. B8, 3363 (1973); 9, 3946 (E).
G. Ahlers, A. Kornblit and H Kornblit and J. Guggenheim, Phys. Rev. Lett. 34, 1237 (1975).
D. Blankschtein and A. Aharony, Phys. Rev. Lett. 47, 439 (1981]
E. Domany, D. Mukamel and M. E. Fisher, Phys. Rev B15, 5432 (1977).
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Aharony, A. (1983). Multicritical points. In: Hahne, F.J.W. (eds) Critical Phenomena. Lecture Notes in Physics, vol 186. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12675-9_13
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