J. Phys. Soc. Jpn. 63 (1994) pp. 3951-3961 |Next Article| |Table of Contents|
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Correlation Length for the XXZ Spin Chain at Finite Temperature
Hideyuki Mizuta,
Taro Nagao1 and
Miki Wadati
Department of Physics, Faculty of Science, University of Tokyo,
Hongo 7-3-1, Bunkyo-ku, Tokyo 113
1Department of Physics, Faculty of Science, Osaka University, Toyonaka 560
(Received May 16, 1994)
Baxter's formula is extended to treat the thermodynamic properties of quantum spin chains. As an application of such formulation which we call finite temperature Baxter's formula, the XXZ Heisenberg spin chain is investigated. Combination of the formula and the finite size expansion provides a systematic method to evaluate low-temperature expansions of the thermodynamic quantities. The correlation length for the XXX spin chain is explicitly evaluated.
©1994 The Physical Society of Japan
KEYWORDS:
XXZ Heisenberg spin chain, 6-vertex model, correlation length, finite size corrections, logarithmic correction
URL:
http://jpsj.ipap.jp/link?JPSJ/63/3951/
DOI: 10.1143/JPSJ.63.3951
- R. J. Baxter: Exactly Solved Models in Statistical Mechanics (Academic Press, New York, 1982).
- Yang-Baxter Equation in Integrable Systems, ed. M. Jimbo (World Scientific, Singapore, 1989).
- R. J. Baxter:
Phys. Rev. Lett. 26 (1971) 834[APS].
- R. J. Baxter:
Ann. Phys. 70 (1972) 323[CrossRef].
- M. Wadati and Y. Akutsu: Prog. Theor. Phys. Suppl. No. 94 (1988) 1[IPAP].
- J. Suzuki, Y. Akutsu and M. Wadati:
J. Phys. Soc. Jpn. 59 (1990) 2667[IPAP].
- J. Suzuki, T. Nagao and M. Wadati: Int. J. Mod. Phys. B6 (1992) 1119.
- R. Z. Bariev: Theor. Math. Phys. 49 (1982) 1021.
- T. T. Truong and K. D. Schotte:
Nucl. Phys. B220 (1983) 77[CrossRef].
- M. Inoue and M. Suzuki: Prog. Theor. Phys. 78 (1987) 787[IPAP]; ibid. 79 (1988) 645[IPAP].
- T. Koma: Prog. Theor. Phys. 78 (1987) 1213[IPAP]; ibid. 81 (1989) 783[IPAP]; ibid. 83 (1990) 655[IPAP].
- F. Woynarovich and H. P. Eckle:
J. Phys. A20 (1987) L97[IoP STACKS].
- H. J. de Vega and F. Woynarovich:
Nucl. Phys. B251 (1985) 439[CrossRef].
- C. J. Hamer, M. T. Batchelor and Michael N. Barber: J. Stat. Phys. 52 (1988) 679.
- J. L. Cardy:
J. Phys. A19 (1986) L1093[IoP STACKS].
- K. Nomura and M. Yamada:
Phys. Rev. B43 (1991) 8217[APS].