A Non-Disordered Glassy Model with a Tunable Interaction Range

TL;DR

This paper presents a non-disordered lattice spin model with a tunable interaction range that exhibits glassy behavior, including slow dynamics and aging, in any spatial dimension, especially for small R in one dimension.

Contribution

It introduces a novel non-disordered glassy model with adjustable interaction range, demonstrating glassy properties without disorder.

Findings

Model shows deep energy minima and slow relaxation

Exhibits aging and non-trivial fluctuation-dissipation ratio

Behavior observed in one dimension for small R

Abstract

We introduce a non-disordered lattice spin model, based on the principle of minimizing spin-spin correlations up to a (tunable) distance R. The model can be defined in any spatial dimension D, but already for D=1 and small values of R (e.g. R=5) the model shows the properties of a glassy system: deep and well separated energy minima, very slow relaxation dynamics, aging and non-trivial fluctuation-dissipation ratio.