On the problem of the correct interpretation of phason elasticity in quasicrystals

TL;DR

This paper critiques recent experimental claims of observing phason fluctuations in quasicrystals, emphasizing the need for a refined elasticity theory to accurately interpret atomic displacements and their symmetries.

Contribution

It highlights the necessity to develop the elasticity theory of Jaric and Nelsson further for proper interpretation of phason dynamics in quasicrystals.

Findings

Current data require more detailed elasticity modeling.

Existing theories are insufficient to fully explain observed fluctuations.

Further theoretical development is needed for accurate interpretation.

Abstract

Recently Francoual et al. claimed to have observed the dynamics of long-wavelength phason fluctuations in i-AlPdMn quasicrystals. We will show that the data reported call for a more detailed development of the elasticity theory of Jaric and Nelsson in order to determine the nature of small phonon-like atomic displacements with a symmetry that follows the phason elastic constants.