Clusters, phason elasticity, and entropic stabilisation: a theory perspective

TL;DR

This paper discusses theoretical perspectives on quasicrystal stability, focusing on clusters, phason elasticity, and entropy, and explores how calculations can clarify different models of quasicrystals.

Contribution

It provides a theoretical analysis connecting clusters, phason elasticity, and entropy to quasicrystal stabilization, addressing debates between random-tiling and ideal models.

Findings

Friedel oscillations relate to Hume-Rothery stabilization

Calculations can distinguish between tiling models

Entropy plays a significant role beyond tile configurations

Abstract

Personal comments are made about the title subjects, including: the relation of Friedel oscillations to Hume-Rothery stabilisation; how calculations may resolve the random-tiling versus ideal pictures of quasicrystals; and the role of entropies apart from tile-configurational.