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Ground-state behavior of the 3d +/-J random-bond Ising model | | Alexander K. Hartmann
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18 Aug 1998 | | Journal: | Phys. Rev. B 59, 3617 (1999) | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Abstract: | Large numbers of ground states of the three-dimensional $pm J$ random-bond Ising model are calculated for sizes up to $14^3$ using a combination of a genetic algorithm and Cluster-Exact Approximation. Several quantities are calculated as function of the concentration $p$ of the antiferromagnetic bonds. The critical concentration where the ferromagnetic order disappears is determined using the Binder cumulant of the magnetization. A value of $p_c=0.222pm 0.005$ is obtained. From the finite-size behavior of the Binder cumulant and the magnetization critical exponents $
u=1.1 pm 0.3$ and $eta=0.2 pm 0.1$ are calculated. | | Source: | arXiv, cond-mat/9808197 | | Services: | Forum | Review | PDF | Favorites | |
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