Ground State and the Magnetization Process of the Body-Centered Tetragonal Lattice with Ising Spins
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概要
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The ground state and the magnetization process of the body-centered tetragonal (bct) lattice with Ising spins up to third neighbor interactions (J_1, J_2, J_3) are investigated by the method of inequalities. Eight types of spin ordering are found of which three are new compared to the case J_3=0. The magnetization process at T=0 is determined and classified in several classes according to combinations of signs and magnitudes of J_1, J_2 and J_3. The system with J_3=0 is topologically reduced to the linear chain and the system with J_2=0 and that with J_2=J_3 to the square lattice with the first and the second neighbor interactions. The cause of degeneracies appearing in both cases is clarified by the reduction to lower dimensions. The three-dimensional character is realized only by taking J_3 into account. Comparison of the ground states between the case of the Ising model and the case of the classical Heisenberg model is made in the case where the magnetic field is zero.
- 理論物理学刊行会の論文
- 1974-11-25
著者
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Katsura Shigetoshi
Department Of Applied Physics Faculty Of Engineering Tohoku University
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Narita Akira
Department Of Physics Tohoku University
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Narita Akira
Department Of Applied Physics Tohoku University
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NARITA Akira
Department of Physics, Tohoku University
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KATSURA Shigetoshi
Faculty of Science and Engineering, Tokyo Denki University : Tohoku College of Engineering and Information Sciences
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