Title

Matching Kasteleyn Cities for Spin Glass Ground States

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Creighton K. Thomas, Syracuse University

Document Type

Article

Date

11-20-2007

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

4 pages, 2 figures; minor clarifications More information at http://arxiv.org/abs/0706.2866

Recommended Citation

Middleton, Alan and Thomas, Creighton K., "Matching Kasteleyn Cities for Spin Glass Ground States" (2007). Physics - All Scholarship. 180.
https://surface.syr.edu/phy/180

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.