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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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Suzuki, M.·1976·Progress of Theoretical Physics
DOI 10.1143/ptp.56.1454
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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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Metadata

Authors
Suzuki, M.
Venue
Progress of Theoretical Physics
Publisher
Oxford University Press (OUP)
Published
1976-11-01
Volume
56
Issue
5
Pages
1454-1469
ISSN
  • 0033-068X (ISSN-L)
  • 1347-4081
DOI
10.1143/ptp.56.1454
OpenAlex
W2146481974
Cited by
1,132
References
0
FWCI
9.25
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: 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. https://app.cochat.ai/papers/10.1143/ptp.56.1454
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Suzuki, M. (1976). 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. Progress of Theoretical Physics. https://doi.org/10.1143/ptp.56.1454

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.