Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$

Abstract

Motivated by recent angle-resolved photoemission spectroscopy (ARPES) experiments, we analyze the temperature, frequency, and momentum dependence of the single-particle scattering rate in a model of the $\gamma$-band of Sr${}_2$RuO${}_4$ under strain, with particular emphasis on the behavior near the Lifshitz transition where the Fermi energy crosses a single Van Hove point. While the scattering rate is only moderately anisotropic at zero strain, we find that it becomes strongly anisotropic at the Lifshitz point. At the lowest energies, we recover the expected universal behavior: the scattering rate varies (ignoring logarithmic corrections) as ${\tau }^{-1}\sim \omega$ at the Van Hove point and as ${\tau }^{-1}\sim {\omega }^{3/2}$ away from it. At higher energies, however, corrections of order ${\omega }^2$ become important in both regimes. We show that the experimentally observed behavior ${\tau }^{-1}\sim {\omega }^{\alpha }$ with $\alpha \approx 1.4(2)$ at the Van Hove point can be quantitatively explained by a superposition of linear and quadratic contributions to the scattering rate, which are comparable in magnitude at the intermediate energies probed by experiment, rather than in terms of a new universal power law. We further predict a distinctive anisotropy, strain dependence, and a non-monotonic frequency dependence of the scattering rate at a Lifshitz transition, all of which may be directly tested in experiments.

10 pages, 7 figures

References in corpus (44)

• Chiral superconductivity from repulsive interactions in doped graphene
• Strong Peak in $T_c$ of Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Competing many-body instabilities and unconventional superconductivity in graphene
• Sublattice Interference in the Kagome Hubbard Model
• Fermi Surface, Surface States, and Surface Reconstruction in Sr2RuO4
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Evidence for incommensurate spin fluctuations in Sr_2RuO_4
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Chiral d-wave superconductivity in doped graphene
• Magic of high order van Hove singularity
• High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies
• Thermodynamic Evidence for a Two-Component Superconducting Order Parameter in Sr${}_2$RuO${}_4$
• Inelastic neutron scattering study of magnetic excitations in Sr${}_2$RuO${}_4$
• Resistivity in the Vicinity of a Van Hove Singularity: Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Strain Control of Fermiology and Many-Body Interactions in Two-Dimensional Ruthenates
• Direct Observation of a Uniaxial Stress-driven Lifshitz Transition in Sr${}_2$RuO${}_4$
• Strongly correlated materials from a numerical renormalization group perspective: How the Fermi-liquid state of Sr${}_2$RuO${}_4$ emerges
• Electrons at the monkey saddle: a multicritical Lifshitz point
• Elastocaloric determination of the phase diagram of Sr${}_2$RuO${}_4$
• Classification of Critical Points in Energy Bands Based on Topology, Scaling and Symmetry
• Multicritical Fermi surface topological transitions
• Supermetal
• Quantitative analysis of Sr2RuO4 ARPES spectra: Many-body interactions in a model Fermi liquid
• Catastrophe theory classification of Fermi surface topological transitions in two dimensions
• A key role of correlation effects in the Lifshitz transition in Sr${}_2$RuO${}_4$
• Non-Analytic Contributions to the Self-Energy and the Thermodynamics of Two-Dimensional Fermi Liquids
• Anisotropy of the incommensurate fluctuations in Sr2RuO4: a study with polarized neutrons
• Theory of the Strange Metal Sr${}_3$Ru${}_2$O${}_7$
• Inelastic neutron scattering study of the magnetic fluctuations in Sr${}_2$RuO${}_4$
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• Hall coefficient signals orbital differentiation in the Hund's metal Sr${}_2$RuO${}_4$
• Giant lattice softening at a Lifshitz transition in Sr${}_2$RuO${}_4$
• Normal state ${}^{17}$O NMR studies of Sr${}_2$RuO${}_4$ under uniaxial stress
• High-order Van Hove singularities and their connection to flat bands
• A Fermi liquid model for the overdoped and optimally doped cuprate superconductors: scattering rate, susceptibility, spin resonance peak and superconducting transition
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• On the engineering of higher-order Van Hove singularities in two dimensions
• Neutron scattering studies on spin fluctuations in Sr${}_2$RuO${}_4$
• Distinct spin and orbital dynamics in Sr${}_2$RuO${}_4$
• Breakdown of the Wiedemann-Franz law at the Lifshitz point of strained Sr${}_2$RuO${}_4$
• Fermi Liquid Properties of a Two Dimensional Electron System With the Fermi Level Near a van Hove Singularity
• Pairing at a single Van Hove point
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator