Partition function zeros and the three-dimensional Ising spin glass |
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| Authors: | Gyan Bhanot Jan Lacki |
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| Institution: | (1) School of Natural Sciences, Institute for Advanced Study, J 08540 Princeton, New Jersey;(2) Thinking Machines Corporation, 02142 Cambridge, Massachusetts |
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| 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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| Keywords: | Phase transitions Ising spin glass exact partition functions helical boundary conditions |
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