Zeros of the partition function for the two-dimensional Ising model
- 1 June 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (8) , L481-L485
- https://doi.org/10.1088/0305-4470/18/8/014
Abstract
The zeros of the partition function for the zero field two-dimensional Ising model in the complex temperature plane are represented in terms of the eigenvalues of the transfer matrix. The boundaries of the limiting distribution have a particular simple representation in terms of the correlation range along the two principal axes of the quadratic lattice. Examples of the distribution in the complex plane of z=exp(-2K) are given for the anisotropic model when the horizontal and vertical interactions are in integer ratio.Keywords
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