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Prog. Theor. Phys. Vol. 73 No. 2 (1985) pp. 319-331

[ Full Text PDF : FREE ACCESS (718K) ]

Study of One-Dimensional Quantum Spin Systems by the Transfer-Matrix Method

Hiroshi Betsuyaku

Japan Atomic Energy Research Institute, Tokai, Ibaraki 319-11

(Received September 25, 1984)

Abstract:

The Suzuki-Trotter formula has been used to get the mth approximant to the classical representation of the partition function of the one-dimensional N-spin S=½ quantum spin systems. The equivalent two-dimensional (N×2m) Ising model with four-spin interactions has been studied in detail by using the numerically exact transfer-matrix method for T≥0.05 and m ≤8. The convergence properties have been examined in two different representations; checkerboard decomposition (CBD) and real-space decomposition (RSD). The spin correlation functions in RSD converge much faster than those in CBD. The limiting m→∞ behavior has been estimated from the extrapolation formula of the form: E(m)=E( ∞)+ α/ m2. The limiting values of the energy derived from the nearest-neighbor correlation agree with the correct values excellently.


URL : http://ptp.ipap.jp/link?PTP/73/319/
DOI : 10.1143/PTP.73.319

[ Full Text PDF : FREE ACCESS (718K) ] Citation:

References:

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