Abstract
Two planar Ising models on compressible lattices are considered. The elastic forces act in the horizontal direction only and between nearest-neighbors, but are otherwise arbitrary. The nearest-neighbor exchange interaction is taken as constant for two spins with the same column index and depending on separation for spins on the same row. In the first model (A) the transition remains continuous, and Fisher's theory of renormalized exponents applies; in the second model (B) the additional constraint that spins on a column move as a unit changes the transition to first order.
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We would like to thank Dr. H. Horner for helpful and stimulating discussions, especially about the effect of the magnetic field on model B. One of us (D. J.) would like to thank Professor M. E. Fisher for a lengthy discussion of several aspects of this work.
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Jasnow, D., Wagner, H. Exactly soluble planar Ising models on compressible lattices. Z. Physik 249, 101–114 (1971). https://doi.org/10.1007/BF01408810
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DOI: https://doi.org/10.1007/BF01408810