Ordered amorphous spin system
Disordered Systems and Neural Networks
2015-06-15 v4
Abstract
A solid is typically deemed amorphous when there are no Bragg peaks in its diffraction pattern. We discuss a two dimensional configuration of Ising spins with an autocorrelation function which vanishes at all nonzero distances, so that its scattering pattern is flat. This configuration is a ground state of a Hamiltonian with deterministic, translationally-invariant and finite range interactions. Despite ostensibly being amorphous, this configuration has perfect underlying order. The finite temperature behavior of this model exhibits ordering transitions at successively larger length scales.
Cite
@article{arxiv.1302.5077,
title = {Ordered amorphous spin system},
author = {Gil Wolff and Dov Levine},
journal= {arXiv preprint arXiv:1302.5077},
year = {2015}
}
Comments
5 pages, 3 figures. Discussion added on finite temperature behavior; supplemental material added