Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity

Abstract

Recent experiments revealed non-Fermi-liquid resistivity in the unconventional superconductor Sr${}_2$RuO${}_4$ when strain pushes one of the Fermi surfaces close to a van Hove singularity. The origin of this behavior and whether it can be understood from a picture of well defined quasiparticles is unclear. We employ a Boltzmann transport analysis beyond the single relaxation-time approximation based on a single band which undergoes a Lifshitz transition, where the Fermi surface crosses a van Hove singularity, either due to uni-axial or epitaxial strain. First analytically investigating impurity scattering, we clarify the role of the diverging density of states together with the locally flat band at the point of the Lifshitz transition. Additionally including electron-electron scattering numerically, we find good qualitative agreement with resistivity measurements on uni-axially strained Sr${}_2$RuO${}_4$, including the temperature scaling and the temperature dependence of the resistivity peak. Our results imply that even close to the Lifshitz transition, a description starting from well-defined quasiparticles holds. To test the validity of Boltzmann transport theory near a van Hove singularity, we provide further experimentally accessible parameters, such as thermal transport, the Seebeck coefficient, and Hall resistivity and compare different strain scenarios.

arXiv comment11 pages, 8 figures

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Cited by in corpus (17)

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• Giant lattice softening at a Lifshitz transition in Sr${}_2$RuO${}_4$
• Skewed Non-Fermi Liquids and the Seebeck Effect
• High-order Van Hove singularities and their connection to flat bands
• Interplay between spin-orbit coupling and van Hove singularity in the Hund's metallicity of Sr${}_2$RuO${}_4$
• Charge fluctuations, hydrodynamics and transport in the square-lattice Hubbard model
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Breakdown of the Wiedemann-Franz law at the Lifshitz point of strained Sr${}_2$RuO${}_4$
• A Criterion for Strange Metallicity in the Lorenz Ratio
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Anisotropic Seebeck coefficient of ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$ in the incoherent regime
• Negatively enhanced thermopower near a Van Hove singularity in electron-doped Sr${}_2$RuO${}_4$
• Conductivity of lattice bosons at high temperatures
• Observation of quantum oscillations near the Mott-Ioffe-Regel limit in CaAs3
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator