Haldane Gap and the Spin 1 Antiferromagnetic Integrable Model
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概要
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We have studied the Spin 1 antiferromagnetic chain with both bilinear and biquadratic exchange interactions. The spin correlations have [veen calculated by meansof the transfer matrix method based on the Trotter formula. The mass gap (/77(0)) atthe ground state has been investigated as a function of the ratio 2 between bilinearand biquadratic unteractions. The result suggests that the gapless ground state persistsin a finite range of 2, i.e., 1,<2<2, with 2,=0.5 and ),>l which is consistent withthe exact solution at the completely integrable point (2 = l ). The calculated mass gap(m(O)) has been fitted to a Kosterlitz-Thouless (KT)-type for ,IX<,IV. (m(0)=,4 expf -B/(2, -1)']) producing the results a=0.49f0.04 and ,ll.=0.49f0.03.
- 社団法人日本物理学会の論文
- 1987-11-15
著者
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KUBO Kenn
Department of Physics, Aoyama Gakuin University
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Kubo Kenn
Department Of Physics And Mathematics Aoyama Gakuin University
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Takada S
Univ. Tsukuba Ibaraki
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Saitoh K
Institute Of Physics University Of Tsukuba
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Saitoh K
Hitachi Ltd. Kokubunji‐shi Jpn
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SAITOH Kazuo
Institute of Physics,University of Tsukuba
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TAKADA Satoshi
Institute of Physics,University of Tsukuba
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Saitoh Kazuo
Institute Of Physics University Of Tsukuba
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Takada Satoshi
Institute For Solid States Physics University Of Tokyo : Department Of Physics College Of General Education University Of Tokyo
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KUBO Kenn
Department of Physics and Astronomy,Michigan State University
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