Hall coefficient signals orbital differentiation in the Hund's metal Sr${}_2$RuO${}_4$

Abstract

The Hall coefficient $R_H$ of Sr${}_2$RuO${}_4$ exhibits a non-monotonic temperature dependence with two sign reversals. We show that this puzzling behavior is the signature of two crossovers which are key to the physics of this material. The increase of $R_H$ and the first sign change upon cooling are associated with a crossover into a regime of coherent quasiparticles with strong orbital differentiation of the inelastic scattering rates. The eventual decrease and the second sign change at lower temperature is driven by the crossover from inelastic to impurity-dominated scattering. This qualitative picture is supported by quantitative calculations of $R_H(T)$ using Boltzmann transport theory in combination with dynamical mean-field theory, taking into account the effect of spin-orbit coupling. Our insights shed new light on the temperature dependence of the Hall coefficient in materials with strong orbital differentiation, as observed in Hund's metals.

20 pages, 4 figures

References in corpus (12)

• BoltzTraP. A code for calculating band-structure dependent quantities
• Strong electronic correlations from Hund's coupling
• Coherence-incoherence crossover in the normal state of iron-oxypnictides and importance of the Hund's rule coupling
• Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Theoretical evidence for strong correlations and incoherent metallic state in FeSe
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Coulomb-Enhanced Spin-Orbit Splitting: The Missing Piece in the Sr2RhO4 Puzzle
• The Fermi surface of Sr2RuO4: spin-orbit and anisotropic Coulomb interaction effects
• Orbital-differentiated coherence-incoherence crossover identified by photoemission spectroscopy in LiFeAs
• Revealing the Hidden Heavy Fermi Liquid in CaRuO3

Cited by in corpus (16)

• Dependence of DFT+DMFT Results on the Construction of the Correlated Orbitals
• The Wannier Function Software Ecosystem for Materials Simulations
• Emergence of flat bands and ferromagnetic fluctuations via orbital-selective electron correlations in Mn-based kagome metal
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Combining Electron-Phonon and Dynamical Mean-Field Theory Calculations of Correlated Materials: Transport in the Correlated Metal Sr${}_2$RuO${}_4$
• Correlated electronic structure of a quintuple-layer nickelate
• BaOsO${}_3$: A Hund's metal in the presence of strong spin-orbit coupling
• The fate of quasiparticles at high-temperature
• Heavy-fermions in frustrated Hund's metal with portions of incipient flat-bands
• Unconventional localization of electrons inside of a nematic electronic phase
• Topological Hall effect and the magnetic states of Nowotney chimney ladder compound Cr${}_{11}$Ge${}_{19}$}
• Uniaxial stress effect on the electronic structure of quantum materials
• Anisotropic Seebeck coefficient of ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$ in the incoherent regime
• Electronic nematic order in the normal state of strontium ruthenate
• Strontium Ferrite Under Pressure: Potential Analogue to Strontium Ruthenate
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$