Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations

作者：Masuo Suzuki · 发表于：Progress of Theoretical Physics · 年份：1976 · DOI：10.1143/ptp.56.1454 · 被引用次数：1152 · 研究领域：Theoretical and Computational Physics、Quantum many-body systems、Stochastic processes and statistical mechanics

The partition function of a quantal spin system is expressed by that of the Ising model, on the basis of the generalized Trotter formula. Thereby the ground state of the d-dimensional Ising model with a transverse field is proven to be equivalent to the (d+1)-dimensional Ising model at finite temperatures. A general relationship is established between the two partition functions of a general quantal spin system and the corresponding Ising model with many-spin interactions, which yields some rigorous results on quantum systems. Some applications are given.