Spin and link overlaps in 3-dimensional spin glasses
Disordered Systems and Neural Networks
2009-10-31 v2 Statistical Mechanics
Abstract
Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean field picture of a non-trivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather they are topologically non-trivial and they reach out to the boundaries of the lattice. Their surface to volume ratios decrease as L increases and may asymptotically go to zero. If so, link and window overlaps between the ground state and these excited states become ``trivial''.
Keywords
Cite
@article{arxiv.cond-mat/0002055,
title = {Spin and link overlaps in 3-dimensional spin glasses},
author = {F. Krzakala and O. C. Martin},
journal= {arXiv preprint arXiv:cond-mat/0002055},
year = {2009}
}
Comments
Extra fits comparing TNT to mean field, summarized in a table