Quick Search:
Prog. Theor. Phys. Vol. 55 No. 5 (1976) pp. 1412-1418
A Few Layered n-Vector Model in the Limit n → ∞
Shinobu Hikami and
Ryuzo Abe*
Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Department of Pure and Applied Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo
(Received December 5, 1975)
Abstract:
The hypercubical n-vector model with finite thickness is investigated in the limit n → ∞. Numerical calculations of critical temperatures are performed for systems with a few layers where each layer is three-dimensional. It is shown that for the free and boundary condition the n-vector model in the limit n → ∞ is not necessarily equivalent to the corresponding spherical model.
URL :
http://ptp.ipap.jp/link?PTP/55/1412/
DOI : 10.1143/PTP.55.1412
References:
-
T. H. Berlin and M. Kac, Phys. Rev. 86 (1952), 821[APS].
-
H. E. Stanley, Phys. Rev. 176 (1968), 718[APS].
- M. Kac and C. J. Thompson, Physica Norvegica 5 (1971), 163.
- R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
-
S. Ma, Phys. Rev. A 7 (1973), 2172[APS].
- S. Hikami and R. Abe, Prog. Theor. Phys. 52 (1974), 369 [PTP]and references therein.
-
M. N. Barber and M. E. Fisher, Ann. of Phys. 77 (1973), 1[CrossRef].
- G. S. Joyce, Phil. Trans. R. Soc. London 273 (1973), 583.
S. Katsura, T. Morita, S. Inawashiro, T. Horiguchi and Y. Abe, J. Math. Phys. 12 (1971), 892[CrossRef].
- I. Mannari and C. Kawabata, Research Notes of Department of Physics, No. 15 (1964), Okayama University.
- T. Morita and T. Horiguchi, Table of the Lattice Green's Function for the Cubic Lattices, (1971), Tohoku University.
-
H. J. F. Knops, J. Math. Phys. 14 (1973), 1918[CrossRef].
-
S. Singh, D. Jasnow and M. N. Barber, J. Phys. C 8 (1975), 3408[IoP STACKS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 494-497
:
-
A Modified 1/d Expansion for Critical Temperature of Spherical Model on Hypercubic Lattice
-
Ryuzo Abe
