Matching Kasteleyn Cities for Spin Glass Ground States
| dc.creator | Thomas, Creighton K. | |
| dc.creator | Middleton, A. Alan | |
| dc.date | 2007-06-20 | |
| dc.date | 2007-11-20 | |
| dc.date.accessioned | 2026-07-07T09:23:26Z | |
| dc.date.available | 2026-07-07T09:23:26Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 2 figures; minor clarifications | |
| dc.identifier | https://arxiv.org/abs/0706.2866 | |
| dc.identifier | http://arxiv.org/abs/0706.2866 | |
| dc.identifier | Physical Review B 76, 220406(R) (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.220406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155735 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Matching Kasteleyn Cities for Spin Glass Ground States | |
| dc.type | text |