---

Prog. Theor. Phys. Vol. 69 No. 2 (1983) pp. 464-479

Higher Order Calculations for d-Dimensional Lattice with d^′-Dimensional Defect

Ryuzo Abe, Kazuhisa Yamamoto^* and Kazuo Ideura

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153
and
^*Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York 14260

(Received September 20, 1982)

Abstract:

By means of 1/n expansion, the n-vector model in a d-dimensional lattice is studied where a d^′-dimensional defect exists. Previous theories which dealt with the n→∞ limit are extended up to the order λ/n (λ: a parameter specifying the strength of defect). The pair correlation function in the defect space is discussed for the three-dimensional lattice. A critical exponent n_// pertaining to the critical correlation is calculated up to the same order.

URL : http://ptp.ipap.jp/link?PTP/69/464/
DOI : 10.1143/PTP.69.464

[ Full Text PDF : FREE ACCESS (566K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. R. Abe, Prog. Theor. Phys. 65 (1981), 1237[PTP].
2. R. Abe, Prog. Theor. Phys. 65 (1981), 1835[PTP].
3. K. Yamamoto and R. Abe, Prog. Theor. Phys. 66 (1981), 1947[PTP].
4. R. Abe and K. Yamamoto, Prog. Theor. Phys. 67 (1982), 139[PTP].
5. E. Eisenriegler and T. W. Burkhardt, Phys. Rev. B 25 (1982), 3283[APS].
6. A. J. Bray and M. A. Moore, J. of Phys. A 10 (1977), 1927[CrossRef].
7. R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
8. K. G. Wilson and J. B. Kogut, Phys. Rep. 12 (1974), 75[CrossRef].
9. S. Ma, Phys. Rev. A 7 (1973), 2172[APS].
10. R. Abe and S. Hikami, Prog. Theor. Phys. 54 (1975), 1693[PTP].
11. R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
12. B. Z. Bariev, Sov. Phys. -JETP 50 (1979), 613.
13. B. M. McCoy and J. H. H. Perk, Phys. Rev. Lett. 44 (1980), 840[APS].
14. Y. Okabe and M. Oku, Prog. Theor. Phys. 60 (1978), 1277[PTP].
15. R. Abe, Prog. Theor. Phys. 49 (1973), 1877[PTP].
16. L. P. Kadanoff and F. J. Wegner, Phys. Rev. B 4 (1971), 3989[APS].
17. A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Pergamon Press, 1979), p. 76.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 366-371 :

   d'-Dimensional Defect in d-Dimensional Lattice. III

   Ryuzo Abe

2. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1226-1239 :

   The 1/n Expansion for the n-Vector Model in the Semi-Infinite Space

   Kaoru Ohno and Yutaka Okabe

3. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 27-34 :

   d'-Dimensional Defect in d-Dimensional Lattice

   Kazuo Ideura and Ryuzo Abe

4. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 707-713 :

   Equation for Pair Correlation Function of n-Vector Model

   Ryuzo Abe

5. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 736-745 :

   The 1/n Expansion for the Extraordinary Transition of Semi-Infinite System

   Kaoru Ohno and Yutaka Okabe

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.