# Cooperative elastic fluctuations provide tuning of the metal-insulator transition

## TL;DR

This paper demonstrates that cooperative elastic fluctuations significantly influence the metal-insulator transition in transition metal oxides, providing a new perspective on controlling these phase changes through elastic effects.

## Contribution

It introduces a statistical mechanical model showing how elastic strain fluctuations affect the MIT, explaining experimental data and emphasizing their importance in transition control.

## Key findings

- Elastic fluctuations have large effects on MIT temperature.
- The model reproduces experimental dependence of transition on cation radius.
- Elastic couplings are broadly relevant to MITs involving lattice symmetry changes.

## Abstract

Metal to insulator transitions (MITs) driven by strong electronic correlations are common in condensed matter systems, and are associated with some of the most remarkable collective phenomena in solids, including superconductivity and magnetism. Tuning and control of the transition holds the promise of novel, low power, ultrafast electronics, but the relative roles of doping, chemistry, elastic strain and other applied fields has made systematic understanding difficult to obtain. Here we point out that existing data on tuning of the MIT in perovskite transition metal oxides through ionic size effects provides evidence of systematic and large effects on the phase transition due to dynamical fluctuations of the elastic strain, which have been usually neglected. This is illustrated by a simple yet quantitative statistical mechanical calculation in a model that incorporates cooperative lattice distortions coupled to the electronic degrees of freedom. We reproduce the observed dependence of the transition temperature on cation radius in the well-studied manganite and nickelate materials. Since the elastic couplings are generically quite strong, these conclusions will broadly generalize to all MITs that couple to a change in lattice symmetry.