Landau model for the elastic properties of the ferroelastic crystal Rb4LiH3(SO4)4

TL;DR

This study investigates the elastic properties of Rb4LiH3(SO4)4 across temperature and pressure, confirming a pseudo-proper Landau model for its ferroelastic transition and refuting incomplete softening of the soft mode.

Contribution

It provides a detailed Landau model analysis of the ferroelastic transition in Rb4LiH3(SO4)4, clarifying the nature of the order parameter and transition mechanism.

Findings

Ferroelastic transition at 134 K is consistent with a pseudo-proper Landau model.

Transition is not primarily driven by strains.

Refutes incomplete softening of the soft acoustic mode at Tc.

Abstract

We report a detailed investigation of the elastic properties of Rb4LiH3(SO4)4 measured as a function of temperature and pressure. Rb4LiH3(SO4)4 is known to show a 4 - 2 ferroelastic phase transition at Tc = 134 K. In order to clarify the nature of the order parameter associated with that structural transition, we compare our finding to two distinct phenomelogical Landau models. The coupling parameters of both models are all determined using the temperature dependence of the strain tensor, as well as the pressure dependence dTc/dP = 19.1 K/kbar, prior to the calculation of the elastic constants. Our comparison indicates that the ferroelastic transition in Rb4LiH3(SO4)4 is fully consistent (within a few percent) with the predictions of a pseudo-proper model, showing at the same time that the primary mechanism leading to the phase transition is not driven by strains. Our analysis also refutes the idea that Rb4LiH3(SO4)4 is the first ferroelastic compound showing incomplete softening, of the effective soft acoustic mode Csoft, at Tc.