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Ferromagnetic-spin glass transition in four-dimensional random-bond Ising model | | Alexander K. Hartmann
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28 Jul 2001 | | Journal: | Phys. Rev. B 64, 224430 (2001) | | Subject: | Disordered Systems and Neural Networks; Materials Science | cond-mat.dis-nn cond-mat.mtrl-sci | | Affiliation: | University of California, Santa Cruz | | Abstract: | The four-dimensional +-J random-bond Ising model is studied using ground-state calculations. System sizes up to N=6^4 spins are considered. Here it is found that the ferromagnetic-spin glass transition occurs at a critical concentration p_c=0.28(1) of the antiferromagnetic bonds, which is comparable to values found previously by high-temperature series expansions. The transition is characterized by a correlation-length exponent
u=1.0(1) and an order-parameter exponent eta=0.4(1). Thus, this transition is in a different universality class from four-dimensional bond percolation, where
u=0.678(50) and eta=0.639(20). | | Source: | arXiv, cond-mat/0107583 | | Services: | Forum | Review | PDF | Favorites | |
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