Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Spin-glass model with dimension-dependent ground state multiplicity

Spin-glass model with dimension-dependent ground state multiplicity We introduce a new Ising spin-glass model and use it to study the relation between quenched disorder, frustration, ground state mulitplicity, and dimension. The Hamiltonian is of Edwards-Anderson type in any finite volume but the coupling magnitudes scale nonlinearly with volume. We find a mapping between the ground state structure of this model and the global connectivity structure of invasion percolation in the same dimension. We argue that our model has a singular pair of ground states below eight dimensions and infinitely many above. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Spin-glass model with dimension-dependent ground state multiplicity

Physical Review Letters , Volume 72 (14) – Apr 4, 1994
4 pages

Loading next page...
 
/lp/american-physical-society-aps/spin-glass-model-with-dimension-dependent-ground-state-multiplicity-4iWks3KRbI

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
American Physical Society (APS)
Copyright
Copyright © 1994 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.72.2286
Publisher site
See Article on Publisher Site

Abstract

We introduce a new Ising spin-glass model and use it to study the relation between quenched disorder, frustration, ground state mulitplicity, and dimension. The Hamiltonian is of Edwards-Anderson type in any finite volume but the coupling magnitudes scale nonlinearly with volume. We find a mapping between the ground state structure of this model and the global connectivity structure of invasion percolation in the same dimension. We argue that our model has a singular pair of ground states below eight dimensions and infinitely many above.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Apr 4, 1994

There are no references for this article.