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Phys. Rev. Lett. 59, 803–806 (1987)

Accurate estimate of ν for the three-dimensional Ising model from a numerical measurement of its partition function

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Gyan Bhanot and Román Salvador
Physics Department and Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida 32306
Physics Department, University of California at San Diego, La Jolla, California 92093

Steve Black
Physics Department, The Florida State University, Tallahassee, Florida 32306

Paul Carter
Physics Department and Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida 32306

Raúl Toral
Physics Department, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom

Received 14 May 1987; published in the issue dated 17 August 1987

We give results from an accurate determination of the partition function of the three-dimensional Ising model on lattices of size up to 103. We compute the two complex zeros of Z closest to the real temperature axis. From a finite-size scaling analysis of these, we get the estimates ν=0.6295(10) for the correlation-length exponent and φ=52.2(7) for the angle between the first two zeros and the real u=e-4β axis.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.59.803
DOI:
10.1103/PhysRevLett.59.803
PACS:
75.10.Hk, 75.40.Cx
 
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