Cooperative elastic fluctuations provide tuning of the metal–insulator transition


Metal-to-insulator transitions1 driven by strong electronic correlations occur frequently in condensed matter systems, and are associated with remarkable collective phenomena in solids, including superconductivity and magnetism. Tuning and control of the transition holds the promise of low-power, ultrafast electronics2, but the relative roles of doping, chemistry, elastic strain and other applied fields have made systematic understanding of such transitions difficult. Here we show that existing data3,4,5 on the tuning of metal-to-insulator transitions in perovskite transition-metal oxides through ionic size effects provides evidence of large systematic effects on the phase transition owing to dynamical fluctuations of the elastic strain, which have usually been neglected6. We illustrate this using 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 the cation radius in the well studied manganite7 and nickelate8 materials. Because elastic couplings are generally strong, we anticipate that these conclusions will generalize to all metal-to-insulator transitions that couple to a change in lattice symmetry.

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Fig. 1: Perovskite lattices.
Fig. 2: Lattice distortions and strain responses.
Fig. 3: Effective elastic energy.
Fig. 4: Comparison to experiments.

Data availability

Requests for materials should be addressed to G.G.G.-V., and P.B.L.


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We acknowledge discussions with G. Lonzarich, H. Park and F. Ballar-Trigueros. Work at Argonne National Laboratory is supported by the US Department of Energy, Materials Science Division, Office of Basic Energy Sciences under contract number DE-AC02-06CH11357. G.G.G.-V. acknowledges support from the Vice-rectory for Research (project number 816-B7-601), and the Office of International Affairs at the University of Costa Rica, the Royal Society International Exchanges programme (grant number IES\R3\170025), Churchill College (University of Cambridge). G.G.G.-V. thanks the Department of Materials Science and Metallurgy and the Cavendish Laboratory at the University of Cambridge (where part of this work was done) for hospitality. R.T.B. acknowledges support from the Yale Prize Postdoctoral Fellowship and Homerton College (University of Cambridge).

Author information




P.B.L. conceived the study. G.G.G.-V. and R.T.B. performed the calculations. All authors constructed the model, wrote the manuscript, discussed the results and implications at all stages.

Corresponding authors

Correspondence to G. G. Guzmán-Verri or P. B. Littlewood.

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R.T.B. is currently an editor at Nature Communications.

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Peer review information Nature thanks Mona Berciu, Paolo Radaelli and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Extended data figures and tables

Extended Data Table 1 Model parameters

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Supplementary information

This file contains Supplementary Notes 1–3, including Supplementary Figures 1, 2 and Supplementary References.

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Guzmán-Verri, G.G., Brierley, R.T. & Littlewood, P.B. Cooperative elastic fluctuations provide tuning of the metal–insulator transition. Nature 576, 429–432 (2019).

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