Theory of the Strange Metal Sr${}_3$Ru${}_2$O${}_7$

Abstract

The bilayer perovskite Sr${}_3$Ru${}_2$O${}_7$ has been widely studied as a canonical strange metal. It exhibits $T$-linear resistivity and a $T\log (1/T)$ electronic specific heat in a field-tuned quantum critical fan. Criticality is known to occur in `hot' Fermi pockets with a high density of states close to the Fermi energy. We show that while these hot pockets occupy a small fraction of the Brillouin zone, they are responsible for the anomalous transport and thermodynamics of the material. Specifically, a scattering process in which two electrons from the large, `cold' Fermi surfaces scatter into one hot and one cold electron renders the ostensibly non-critical cold fermions a marginal Fermi liquid. From this fact the transport and thermodynamic phase diagram is reproduced in detail. Finally, we show that the same scattering mechanism into hot electrons that are instead localized near a two-dimensional van Hove singularity explains the anomalous transport observed in strained Sr${}_2$RuO${}_4$.

arXiv commentRevised, published version

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• Electronically driven spin-reorientation transition of the correlated polar metal Ca${}_3$Ru${}_2$O${}_7$
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• Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4
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• Magnetoresistance scaling, disorder, `hot spots' and the origin of $T$-linear resistivity in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Strange Metals from Melting Correlated Insulators in Twisted Bilayer Graphene
• Planckian relaxation delusion in metals
• 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
• Single monkey-saddle singularity of a Fermi surface and its instabilities
• The Lorenz ratio as a guide to scattering contributions to Planckian transport
• Universal superdiffusive modes in charged two dimensional liquids
• The Future of the Correlated Electron Problem
• Theory of high-energy correlated multiphoton x-ray diffraction for synchrotron radiation sources
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• High temperature antiferromagnetism in ultrathin SrRu2O6 nanosheets
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Quantum-critical resistivity of strange metals in a magnetic field
• Magnetic-field-controlled spin fluctuations and quantum criticality in Sr3Ru2O7
• On the dynamic distinguishability of nodal quasi-particles in overdoped cuprates
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Phonon Induced Energy Relaxation in Quantum Critical Metals