Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-06-20
Physical Review B 76, 220406(R) (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures; minor clarifications
Scientific paper
10.1103/PhysRevB.76.220406
As spin glass materials have extremely slow dynamics, devious numerical methods are needed to study low-temperature states. A simple and fast optimization version of the classical Kasteleyn treatment of the Ising model is described and applied to two-dimensional Ising spin glasses. The algorithm combines the Pfaffian and matching approaches to directly strip droplet excitations from an excited state. Extended ground states in Ising spin glasses on a torus, which are optimized over all boundary conditions, are used to compute precise values for ground state energy densities.
Middleton Alan A.
Thomas Creighton K.
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