English

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

Strongly Correlated Electrons 2026-03-25 v1 Superconductivity

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 γ\gamma-band of Sr2_2RuO4_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 τ1ω\tau^{-1}\sim \omega at the Van Hove point and as τ1ω3/2\tau^{-1}\sim \omega^{3/2} away from it. At higher energies, however, corrections of order ω2\omega^2 become important in both regimes. We show that the experimentally observed behavior τ1ωα\tau^{-1} \sim \omega^{\alpha} with α1.4(2)\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.

Keywords

Cite

@article{arxiv.2512.09024,
  title  = {Anisotropic scattering rates in strain-tuned Sr$_2$RuO$_4$},
  author = {Ben Currie and David T. S. Perkins and Evgeny Kozik and Joseph J. Betouras and Jörg Schmalian},
  journal= {arXiv preprint arXiv:2512.09024},
  year   = {2026}
}

Comments

10 pages, 7 figures