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Prog. Theor. Phys. Vol. 66 No. 6 (1981) pp. 1959-1969
Critical Amplitude Ratio ξ0+/ξ0T in 1/n and ε Expansions
Yutaka Okabe and
Kazuo Ideura*
Department of Physics, Tohoku University, Sendai 980
*Department of Pure and Applied Sciences University of Tokyo, Komaba, Tokyo 153
(Received June 29, 1981)
Abstract:
The universal critical amplitude ratio ξ0+/ξ0T is investigated in both 1/n and ε expansions. The term up to O(1/n) is considered in 1/n expansion, and the value of ξ0+/ξ0T is estimated numerically for d = 3. The O(ε2) calculation is performed in ε expansion, and it is shown that the result is consistent with that of 1/n expansion.
URL :
http://ptp.ipap.jp/link?PTP/66/1959/
DOI : 10.1143/PTP.66.1959
References:
-
D. Stauffer, M. Ferer and M. Wortis, Phys. Rev. Lett. 29 (1972), 345[APS].
-
E. Brézin, J. C. Le Guillou and J. Zinn-Justin, Phys. Lett. A 47 (1974), 285[CrossRef].
-
P. C. Hohenberg, A. Aharony, B. I. Halperin and E. D. Siggia, Phys. Rev. B 13 (1976), 2986[APS].
-
A. Aharony and P. C. Hohenberg, Phys. Rev. B 13 (1976), 3081[APS].
-
C. Bervillier, Phys. Rev. B 14 (1976), 4964[APS].
- R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1538[PTP].
- R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
- R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
- Y. Okabe, M. Oku and R. Abe, Prog. Theor. Phys. 59 (1978), 1825[PTP].
-
K. G. Wilson and J. B. Kogut, Phys. Rep. 12 (1974), 75[CrossRef].
-
E. Bérzin, D. J. Wallace and K. G. Wilson, Phys. Rev. B 7 (1973), 232[APS].
- D. J. Wallace, Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press, London, 1976), vol. 6, p. 293.
- B. Nickel, unpublished.
- R. Abe and M. Masutani, Prog. Theor. Phys. 59 (1978), 672[PTP].
