Reexamination of Finite-Lattice Extrapolation of Haldane Gaps(General)
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概要
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We propose two methods of estimating a systematic error in extrapolation to the infinite-size limit in the study of measuring the Haldane gaps of the one-dimensional Heisenberg antiferromagnet with the integer spin up to S=5. The finite-size gaps obtained by numerical diagonalizations based on Lanczos algorithm are presented for sizes that have not previously been reported. The changes of boundary conditions are also examined. We successfully demonstrate that our methods of extrapolation work well. The Haldane gap for S=1 is estimated to be 0.4104789+0.0000013. We successfully obtain the gaps up to S=5, which make us confirm the asymptotic formula of the Haldane gap in S→∞.
- 社団法人日本物理学会の論文
- 2009-01-15
著者
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NAKANO Hiroki
Graduate School of Material Science, University of Hyogo
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TERAI Akira
Department of Physics,Kitasato University
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Nakano Hiroki
Graduate School Of Material Science University Of Hyogo
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Terai Akira
Department Of Applied Physics Osaka City University
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Nakano Hiroki
Graduate School And Faculty Of Science Himeji Institute Of Technology
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