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Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful...
Persistent link: https://www.econbiz.de/10010874264
We present a conjecture on the exact location of the multicritical point of models of spin glasses on the two-dimensional square lattice using duality transformation. The results not only agree very well with numerical estimates but also conform excellently to the existing knowledge on annealed...
Persistent link: https://www.econbiz.de/10010589432
The magnetic systems with disorder form an important class of systems, which are under intensive studies, since they reflect real systems. Such a class of systems is the spin glass one, which combines randomness and frustration. The Sherrington–Kirkpatrick Ising spin glass with random...
Persistent link: https://www.econbiz.de/10011057759
A complete and exact characterization of the configuration space of 2-D ±J Ising lattices is performed. A new algorithm is introduced here representing advantages for reaching all states for small samples and doing a non-biased sampling of ground states for larger samples. We report efficient...
Persistent link: https://www.econbiz.de/10011062760