Study of One-Dimensional Quantum Spin Systems by the Transfer-Matrix Method : Condensed Matter and Statistical Physics
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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=1/2 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/m^2. The limiting values of the energy derived from the nearest-neighbor correlation agree with the correct values excellently.
- 理論物理学刊行会の論文
- 1985-02-25
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