Prog. Theor. Phys. Vol. 73 No. 3 (1985) pp. 833-836

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Letters

Critical Line of Two-Dimensional Spin-1/2 Pair-Product Heisenberg Model

Toshiyuki Onogi, Seiji Miyashita and Masuo Suzuki

Department of Physics, University of Tokyo, Tokyo 113

(Received December 17, 1984)

Abstract:

A critical line of the pair-product approximant of the two-dimensional spin-1/2 Heisenberg model is obtained exactly in an interaction region, by using the fact that it can be mapped exactly into a staggered eight-vertex model and can be reduced further to a special Baxter model or F model.

URL : http://ptp.ipap.jp/link?PTP/73/833/
DOI : 10.1143/PTP.73.833

References:

M. Suzuki and H. Takano, Phys. Lett. 69A (1979), 426; J. Stat. Phys. 26 (1981), 635.
J. Rogiers, E. W. Grundke and D. D. Betts, Cam. J. PHys. 57 (1979), 1719.
M. Suzuki, Commun. Math. Phys. 51 (1976), 183[CrossRef]; Prog. Theor. Phys. 56 (1976), 1454[PTP].
M. Suzuki, J. Phys. Soc. Jpn. 21 (1966), 2274[JPSJ].
A. Lagendi jk and H. De Raedt, Phys. Rev. Lett. 49 (1982), 602[APS].
M. Suzuki, S. Miyashita and A. Kuroda, Prog. Theor. Phys. 58 (1977), 1377[PTP].
H. De Raedt and A. Lagendi jk, Phys. Rep. C, to appear and references therein.
R. J. Baxter, in Exactly Solved Models in Statistical Mechanics (Academic, New York, 1982).
F. J. Wegner, J. of Phys. C5 (1972) L131.
C. Fan, Phys. Rev. Lett. B6 (1972), 902[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 79 No. 1 (1988) pp. 30-38 :
On the Convergence of the Trotter-Like Formula and the Finite-Trotter-Number Scaling Law in the Transverse Ising Chain

Makoto Inoue and Masuo Suzuki
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