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

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ID: 297327
1976
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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.
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openalex_W2146481974 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Masuo Suzuki
Journal progress of theoretical physics
Year 1976
DOI
10.1143/ptp.56.1454
URL
https://academic.oup.com/ptp/article-pdf/56/5/1454/5264429/56-5-1454.pdf
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