Infinite Series of Ground States of the Ising Model on the Honeycomb Lattice

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概要

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• It is shown that the lattice gas version of the Ising model on the honeycomblattice has infinite series of the regularly ordered ground states in the concen-tration range around the density x=1/2 when pairwise interactions satisfy theconditions given by V.>4V. -2V. and V.>V.>0 or those by V.>4V. -3V.,2V.>V., and r.<o with V., V. and V. denoting the interaction constants ofthe first, second and third neighboring pairs, respectively; a positive interactionconstant corresponds to a repulsive interaction. The equivalent Ising spin systemhas an infinite number of steps in the magnetization vs. field relation. Three kindsof infinite series of the ground states are found when the interaction constantsare varied within the abovementioned conditions.

• 社団法人日本物理学会の論文
• 1984-01-15

著者

• Kanamori Junjiro

  Department Of Physics Faculty Of Science Osaka University

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