Quick Search:
Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1107-1118
Antiferromagnetic Ising Chain with Long-Range Forces
Akihide Oguchi
Department of Physics, Faculty of Science and Technology, Science University of Tokyo, Chiba 278
(Received February 4, 1980)
Abstract:
A new one-dimensional antiferromagnetic Ising model with exponential pair interactions is proposed. This model is composed of 2N Ising spins, half of which belong to an α-sublattice and the others to a β-sublattice. The interaction between spins in the same sublattice is long-rang ferromagnetic and that between spins in the different sublattices is long-rang antiferromagnetic. Thermodynamic properties of the model are shown to be the same as those obtained by using the molecular field theory for the Ising model with nearest-neighbor interactions.
URL :
http://ptp.ipap.jp/link?PTP/64/1107/
DOI : 10.1143/PTP.64.1107
References:
-
M. Kac, Phys. Fluids 2 (1959), 8[AIP Scitation].
-
M. Kac, G. E. Uhlenbeck and P. C. Hemmer, J. Math. Phys. 4 (1963), 216[CrossRef].
-
G. E. Uhlenbeck, P. C. Hemmer and M. Kac, J. Math. Phys. 4 (1963), 229[CrossRef].
-
P. C. Hemmer, M. Kac and G. E. Uhlenbeck, J. Math. Phys. 5 (1964), 60[CrossRef].
-
G. A. Baker, Jr., Phys. Rev. 126 (1962), 2071[APS].
-
M. Kac and E. Helfand, J. Math. Phys. 4 (1963), 1078[CrossRef].
-
H. A. Gersch, Phys. Fluids 6 (1963), 599[AIP Scitation].
-
C. J. Thompson and H. Silver, Commun. Math. Phys. 33 (1973), 53[CrossRef].
-
D. Newman, J. Math. Phys. 5 (1964), 1153[CrossRef].
-
J. S. Høye, Phys. Rev. B 6 (1972), 4261[APS].
-
M. Ohminami, Y. Abe and S. Katsura, J. of Phys. A 5 (1972), 1669[CrossRef].
- H. N. V. Temperley, Proc. Phys. Soc. A 67 (1955), 233.
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2107-2127
:
-
Neutron 3P2-Dominant Superfluidity with Two-Dimensional Character under Well-Developed π0 Condensation
-
Ryozo Tamagaki, Tatsuyuki Takatsuka and Hiroaki Frukawa