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： M. Suzuki
DOI: 10.1143/PTP.56.1454
关键词: Ground state 、 Ising model 、 Critical exponent 、 Quantum mechanics 、 Partition function (mathematics) 、 Square-lattice Ising model 、 Physics 、 Mathematical physics 、 Basis (linear algebra) 、 Spin-½ 、 Quantum
摘要: The partition function of a quantal spin system is expressed by that the Ising model, on basis generalized Trotter formula. Thereby ground state d-dimensional model with transverse field proven to be equivalent (d+ 1) -dimensional at finite temperatures. A general relationship established between two functions and corresponding many-spin interactions, which yields some rigorous results quantum systems. Some applications are given.
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