Short-Range Order for the Triangular and Honeycomb Ising Nets in Ferro- and Antiferromagnetic Cases

概要

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The short-range order parameters are evaluated for the triangular and honeycomb Ising nets in ferro- and antiferromagnetic cases by the method of Kaufman and Onsager. For the antiferromagnetic triangular net we also evaluate the probabilities for the various spin configurations. When the three spins are located at the vertices of the smallest regular triangle, the probability that three neighbouring spins are all parallel is zero at T=0. However, it is 0.035120 or 0.202998 respectively at T=0 according as the vertical angle of the three neighbouring spins is 120° or 180°. Making use of these values, the configurational probabilities corresponding to four or five neighbouring spins are also evaluated at zero temperature.
理論物理学刊行会の論文
1966-01-25