Study of One-Dimensional Fermion Model by the Transfer-Matrix Method : Condensed Matter and Statistical Physics

概要

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The one-dimensional fermion model has been transformed into the two-dimensional Ising model by using the Suzuki-Trotter formula. Energy and correlation functions of the equivalent model have been obtained by the numerically exact transfer-matrix method. The transformation errors due to the finiteness of the division in the Trotter direction have been eliminated by extrapolating to the infinite division. The dependence of correlation functions on the strength of the interaction between fermions has been studied in detail. The zero-temperature behavior of correlations has been determined by the combined use of the projector method and the transfer-matrix method. Results at some interaction strength have been compared with the values obtained by the Lanczos method, and the accuracy of the method has been confirmed.
理論物理学刊行会の論文
1986-01-25