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Prog. Theor. Phys. Vol. 56 No. 5 (1976) pp. 1454-1469

[ Full Text PDF : FREE ACCESS (1244K) ]

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 —

Masuo Suzuki

Department of Physics, University of Tokyo, Tokyo 113

(Received May 29, 1976)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/56/1454/
DOI : 10.1143/PTP.56.1454

[ Full Text PDF : FREE ACCESS (1244K) ] Citation:

References:

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