Quantum Heisenberg Chain with Long-Range Ferromagnetic Interactions at Low Temperatures
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概要
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A modified spin-wave theory is applied to the one-dimensional quantum Heisenberg model with long-range ferromagnetic interactions. (H=-JΣ_<i<j>(r_<ij>)^<-P>S_i・S_j). Low-temperature properties of this model are investigated. The susceptibility and the specific heat are calculated ; the relation between their behaviors and strength of the long-range interactions is obtained. This model includes both the Haldane-Shastry model and the nearest-neighbor Heisenberg model ; the corresponding results in this paper are in agreement with the solutions of both the models. It is shown that there exists an ordering transition at a finite temperature for 1<p<2 where the model has longer-range interactions than the HS model. The critical temperature is estimated.
- 社団法人日本物理学会の論文
- 1994-03-15
著者
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TAKAHASHI Minoru
Institute for Solid State Physics, University of Tokyo
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Nakano Hiroki
Institute For Solid Physics University Of Tokyo
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Takahashi Minoru
Institute For Solid Physics University Of Tokyo
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