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.

42 pages, 16 figures (including supplementary information)

References in corpus (8)

• Chiral P-Wave Order in Sr_2RuO_4
• Elastocaloric determination of the phase diagram of Sr${}_2$RuO${}_4$
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• Spin-spin correlations of the spin-ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$ measured by magnetostriction and comparison to Quantum Monte Carlo results
• Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity
• Quantum Annealed Criticality: A Scaling Description
• Suppressed fluctuations as the origin of the static magnetic order in strained Sr${}_2$RuO${}_4$

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