Abstract
We have computed the exact partition function of the 3D Ising spin glass on lattices of effective size 3×3×Lz, 4×4×Lz, and 5×5×Lz forL z up to 9, and several random bond configurations. Studying the distribution of zeros of the associated partition functions, we find further evidence that these systems have a singularity in the thermodynamic limit.
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References
M. Mezard, G. Parisi, and M. A. Virasoro,Spin Glass Theory and Beyond (World Scientific Lecture Notes in Physics, Vol.9).
K. Binder,Physica 62:508 (1972).
G. V. Bhanot,J. Stat. Phys. 60:55 (1990).
M. Creutz,Phys. Rev. B 43(13):10659 (1991).
C. Itzykson, R. B. Pearson, and J. B. Zuber,Nucl. Phys. B 220:415 (1983).
R. N. Bhatt and A. P. Young,Phys. Rev. Lett. 54(9):924 (1985).
G. Bhanot, M. Creutz, and J. Lacki,Phys. Rev. Lett. 69:1841 (1992).
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Bhanot, G., Lacki, J. Partition function zeros and the three-dimensional Ising spin glass. J Stat Phys 71, 259–267 (1993). https://doi.org/10.1007/BF01048099
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DOI: https://doi.org/10.1007/BF01048099