English

Correlated Domains in Spin Glasses

Disordered Systems and Neural Networks 2015-03-20 v2

Abstract

We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very correlated sites: we analyze how the volume and the surface of these clusters increases with the lattice size. We qualify the important excitations of the system by checking how large they are, and we define a correlation length by measuring their gyration radius. We find that the clusters have a very dense interface, compatible with being space filling.

Keywords

Cite

@article{arxiv.1205.2759,
  title  = {Correlated Domains in Spin Glasses},
  author = {A. Billoire and A. Maiorano and E. Marinari},
  journal= {arXiv preprint arXiv:1205.2759},
  year   = {2015}
}

Comments

9 pages, 4 figures. Version accepted for publication

R2 v1 2026-06-21T21:02:47.993Z