Approximate Treatment of the Two-Dimensional Ising Ferromagnet with Second-Neighbor Interaction

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概要

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• The two-dimensional square Ising ferromagnet with the nearest-neighbor interaction -J and the second-neighbor interaction -J' is investigated starting from the identity <s_i>=<tanh(？K_<ij>s_j)>. The Hartree approximation is used for treating the many-spin correlation functions. The critical point thus determined has two values for J'/J<0, and is corrected by the study of the spontaneous magnetization and the free energy to give a resonable function T_c(J'/J). Our approximation may be valid at least qualitatively as a whole.

• 社団法人日本物理学会の論文
• 1974-03-15

著者

• Takase Sei-ichi

  Department Of Chemistry Faculty Of Science And Engineering Nihon University

関連論文

• Monte-Carlo Simulation of a Gaussian Isign Spin Glass : Bond Patterns and Clustering Feature
• Monte Carlo Simulations on Nearest Neighbor Gaussian Ising Spin Glass with Finite Means (J≠0)
• Two-Dimensional Ising Ferromagnet with Second-Neighbor Interaction. II. : Monte Carlo Method
• Two-Dimensional Ising Ferromagnet with Second-Neighbor Interaction. : III. Series-Expansion Method
• Approximate Treatment of the Two-Dimensional Ising Ferromagnet with Second-Neighbor Interaction
• On the Critical Behavior of the Two-Dimensional Ising Model with Second-Neighbor Interaction

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