Monte-Carlo study of correlations in quantum spin chains at non-zero temperature |
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| Authors: | Y.J. Kim M. Greven U.-J. Wiese R.J. Birgeneau |
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| Affiliation: | (1) Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA, US;(2) Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA, US |
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| Abstract: | Antiferromagnetic Heisenberg spin chains with various spin values (S=1/2,1,3/2,2,5/2) are studied numerically with the quantum Monte-Carlo method. Effective spin S chains are realized by ferromagnetically coupling n=2S antiferromagnetic spin chains with S=1/2. The temperature dependence of the uniform susceptibility, the staggered susceptibility, and the static structure factor peak intensity are computed down to very low temperatures, . The correlation length at each temperature is deduced from numerical measurements of the instantaneous spin-spin correlation function. At high temperatures, very good agreement with exact results for the classical spin chain is obtained independent of the value of S. For the S=2 chain which has a gap , the correlation length and the uniform susceptibility in the temperature range are well predicted by the semi-classical theory of Damle and Sachdev. Received: 23 December 1997 / Revised and Accepted: 11 March 1998 |
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| Keywords: | PACS. 75.10.Jm Quantized spin models - 75.40.Cx Static properties (order parameter static susceptibility heat capacities critical exponents etc.) - 75.40.Mg Numerical simulation studies |
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