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Matching Kasteleyn cities for spin glass ground states

Matching Kasteleyn cities for spin glass ground states 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Matching Kasteleyn cities for spin glass ground states

Physical Review B , Volume 76 (22) – Dec 1, 2007
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2007 The American Physical Society
ISSN
1550-235X
DOI
10.1103/PhysRevB.76.220406
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Dec 1, 2007

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