Non-periodic long-range order for fast decaying interactions at positive temperatures

TL;DR

This paper demonstrates the existence of non-periodic long-range order at positive temperatures in a system with exponentially decaying interactions, a novel finding in statistical physics.

Contribution

It provides the first example showing that exponential decay interactions can lead to non-periodic long-range order at positive temperatures.

Findings

Non-periodic long-range order observed at positive temperatures.

First example of exponential decay interactions causing such order.

Advances understanding of phase behavior in statistical physics.

Abstract

We present the first example of an exponentially decaying interaction which gives rise to non-periodic long-range order at positive temperatures.