Theory of One-Dimensional Random Mixture of Ising Spins

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概要

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• A general theory to obtain the magnetic properties of the one-dimensional random mixture of plural kinds of magnetic atoms (Ising spins) in the finite magnetic field is formulated in terms of distribution functions which give the probabilities of finding powers of average values of spins situated on the end site of the chain. The distribution functions are determined from the simultaneous functional equation of order n, where n is the number of the kind of magnetic atoms. Using this theory, we study the magnetic properties of the following systems: (1) The regular system composed of only one kind of magnetic atoms, (2) the simple random system composed of one kind of magnetic atoms and non-magnetic atoms, (3) the random binary mixture composed of two kinds of magnetic atoms of S=1/2, (4) the random binary mixture of two kinds of magnetic atoms of S=1/2 and S=1. An Ising chain with random exchange integrals is also formulated in terms of a distribution function, and the magnetic properties are investigated when S=1/2. It is shown that the magnetization curves of those mixtures at low temperatures have various steps when the antiferromagnetic elements are included, and the susceptibilities at H=0 and T→0 diverge when the ferromagnetic elements are included even if the magnetization vanishes when T=0 and H→0. These are discussed in detail from the random nature of the mixtures.

• 理論物理学刊行会の論文
• 1974-06-25

著者

• Matsubara Fumitaka

  Department Of Applied Physics Faculty Of Engineering The University Of Tohoku

• Matsubara Fumitake

  Department of Applied Physics, Tohoku University

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