Long-Range Order in Ideal Ferromagnets

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概要

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• An attempt is made to investigate the relation between (diagonal) long-range order (LRO or spontaneous magnetization in spin systems) and off-diagonal long-range order (ODLRO or long-range correlation in spin systems). It is shown that ODLRO cannot exceed LRO in ideal ferromagnets under some plausible conditions. Several kinds of long-range order and their mutual relations are also discussed in ideal ferromagnets whose total spin commutes with the Hamiltonian. It is also argued that neither LRO nor ordinary ODLRO exists in the two-dimensional ferromagnetic Heisenberg model. However, a possibility is proposed that other kinds of ODLRO exist in the case of higher spin for such a system. The Heisenberg model with long-range interactions is exemplified, and it is pointed out that the total spin, instead of the total magnetization, should be taken as an order parameter in phenomenological arguments of the Heisenberg model.

• 理論物理学刊行会の論文
• 1969-11-25

著者

• Suzuki Masuo

  The Institute For Solid State Physics The University Of Tokyo

関連論文

• Critical Slowing Down in the Kinetic Ising Model
• Statistical Mechanics of the Finite Ising Model with Higher Spin
• Relationship among Exactly Soluble Models of Critical Phenomena. I : 2D Ising Model, Dimer Problem and the Generalized XY-Model
• Singularity of Nonlinear Response near the Critical Field. I : Static Case
• Long-Range Order in Ideal Ferromagnets
• Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism

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