Giant lattice softening at a Lifshitz transition in Sr${}_2$RuO${}_4$

Abstract

The interplay of electronic and structural degrees of freedom in solids is a topic of intense research. Experience and intuition suggest that structural changes drive conduction electron behavior, because the large number of valence electrons dominate the structural properties. As part of a seminal paper written over sixty years ago, Lifshitz discussed an alternative possibility: lattice softening driven by conduction electrons at topological Fermi surface transitions. The effect he predicted, however, was small, and has not been convincingly observed. Using measurements of the stress-strain relationship in the ultra-clean metal Sr${}_2$RuO${}_4$, we reveal a huge softening of the Young's modulus at a Lifshitz transition of a two-dimensional Fermi surface, and show that it is indeed entirely driven by the conduction electrons of the relevant energy band.

arXiv comment42 pages, 16 figures (including supplementary information)

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Cited by in corpus (8)

• High-order Van Hove singularities and their connection to flat bands
• Using strain to uncover the interplay between two- and three-dimensional charge density waves in high-temperature superconducting YBa${}_2$Cu${}_3$O${}_{\mathrm{y}}$
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Resonant x-ray scattering study of charge-density wave correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$ under uniaxial stress
• Probing multipolar order in the candidate altermagnet MnF${}_2$ through the elastocaloric effect under strain
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Strain Engineering of van Hove Singularity and Coupled Itinerant Ferromagnetism in Quasi-2D Oxide Superlattices