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Prog. Theor. Phys. Vol. 51 No. 5 (1974) pp. 1348-1354

Numerical Calculation of Thermodynamic Quantities of Spin-1/2 Anisotropic Heisenberg Ring

Minoru Takahashi

Department of Physics, College of General Education, Osaka University, Osaka

(Received October 23, 1973)

Abstract:

Thermodynamic quantities such as specific heat and magnetic susceptibility are calculated numerically for the one-dimensional spin-1/2 Heisenberg-Ising model at Δ= 0, ±0.5, ±1/√2. We use a set of nonlinear integral equations which is derived from the Bethe ansatz and from some assumptions on the distribution of quasi-momenta. In the same way we calculate the specific heat of the one-dimensional X-Y-Z model in zero field, putting various values into the coupling constants (J_x, J_y, J_z).

URL : http://ptp.ipap.jp/link?PTP/51/1348/
DOI : 10.1143/PTP.51.1348

[ Full Text PDF : FREE ACCESS (423K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Takahashi and M. Suzuki, Prog. Theor. Phys. 48 (1972), 2187[PTP].
2. S. Katsura, Phys. Rev. 127 (1962), 1508[APS]; ibid. 129 (1963), 2835[APS].
3. M. Takahashi, Prog. Theor. Phys. 50 (1973), 1519[PTP].
4. C. N. Yang and C. P. Yang, Phys. Rev. 150 (1966), 327[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1011-1020 :

   One-Dimensional Anisotropic Exchange-Coupled Chain with S = 1/2

   Yoshihiro Tsuchida, Akihide Oguchi and Koichi Kanai

2. Progress of Theoretical Physics Vol. 79 No. 3 (1988) pp. 645-664 :

   The ST-Transformation Approach to Analytic Solutions of Quantum Systems. II

   Makoto Inoue and Masuo Suzuki

3. Progress of Theoretical Physics Vol. 91 No. 1 (1994) pp. 1-15 :

   Analytical and Numerical Investigations of Spin Chains

   Minoru Takahashi

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