Exact Ground States of the Lattice Gas and the Ising Model on the Square Lattice
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概要
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The ground states of the lattice gas and the equivalent Ising spin system in anexternal field on the square lattice with the interaction range extending to the thirdneighbors are rigorously determined for arbitrary values of interaction constantsand in the whole range of particle density or external field. The difficulty encoun-tered in the previous analysis made by one of the present authors (M.K.) isremoved by deriving two new geometrical inequalities which reflect the latticegeometry of a wider region than the previous ones. The underlying theory is ap-plicable to other cases than the square lattice.
- 社団法人日本物理学会の論文
- 1983-12-15
著者
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Kaburagi Makoto
College Of Liberal Arts Kobe University
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Kanamori Junjiro
Department Of Physics Faculty Of Science Osaka University
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