Quick Search:
Prog. Theor. Phys. Vol. 56 No. 3 (1976) pp. 741-753
The Ising Model on the Cactus Tree
Takashi Tsuchiya
Department of Applied Physics, Waseda University, Tokyo 160
(Received October 30, 1975)
Abstract:
The Ising model on the cactus tree which is constructed by the introduction of smallest possible loops into the Cayley tree is studied. The nearest-neighbor interactions are not restricted to ferromagnetism but taken as general as possible. Physical quantities which are influenced by the existence of the loops and the antiferromagnetic interactions are reported.
URL :
http://ptp.ipap.jp/link?PTP/56/741/
DOI : 10.1143/PTP.56.741
References:
- H. Matsuda, Prog. Theor. Phys. 51 (1974), 1053[PTP].
-
T. P. Eggarter, Phys. Rev. B 9 (1974), 2989[APS].
-
E. Müller-Hartman and J. Zittartz, Phys. Rev. Lett. 33 (1974), 893[APS].
-
J. von Heimburg and H. Thomas, J. of Phys. C 7 (1974), 3433[IoP STACKS].
- T. Tsuchiya and N. Saitô, Prog. Theor. Phys. 53 (1975), 1337[PTP].
- T. Morita and T. Horiguchi, Prog. Theor. Phys. 54 (1975), 982[PTP].
- S. Muto and T. Oguchi, Prog. Theor. Phys. 55 (1976), 81[PTP].
- T. Tsuchiya, Prog. Theor. Phys. 55 (1976), 38[PTP].
-
G. H. Wannier, Phys. Rev. 79 (1950), 357[APS].
-
M. F. Sykes, D. S. Gaunt, P. D. Roberts and J. A. Wyles, J. of Phys. A 5 (1972), 624, [CrossRef]and references cited therein.
