Quantum Heisenberg Ferromagnets in One and Two Dimensions at Low Temperature
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概要
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Modifying the spin-wave theory in the three-dimensional Heisenberg ferromagnet, we propose a simple approximation to investigate the low-temperature thermodynamics of one- and two-dimensional Heisenberg ferromagnets H=-JΣ_<<ij>>(S_iS_j-S^2), where S is the spin quantum number. We regard that the system is an ideal Bose gas with density S. For one-dimensional chain we get the free energy and the susceptibility per site: [numerical formula], [numerical formula]. At S=1/2 these coincide with the numerical results of the Bethe-ansatz integral equation. The susceptibility has not logarithmic correction contrary to a recent proposal by Schlottmann. For two-dimensional square lattice we get:[numerical formula], [numerical formula].
- 理論物理学刊行会の論文
- 1987-01-20
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