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

作者：Hiroshi Betsuyaku · 发表于：Progress of Theoretical Physics · 年份：1985 · DOI：10.1143/ptp.73.319 · 被引用次数：68 · 研究领域：Theoretical and Computational Physics、Quantum many-body systems、Spectroscopy and Quantum Chemical Studies

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.