Spin-orbit coupling in three-orbital Kanamori impurity model and its relevance for transition-metal oxides

Abstract

We investigate the effects of the spin-orbit coupling (SOC) in a three-orbital impurity model with Kanamori interaction using the numerical renormalization group method. We focus on the impurity occupancy $N_d=2$ relevant to the dynamical mean-field theory studies of Hund's metals. Depending on the strength of SOC $\lambda$ we identify three regimes: usual Hund's impurity for $|\lambda |<{\lambda }_c$, van-Vleck non-magnetic impurity for $\lambda >{\lambda }_c$, and a $J=2$ impurity for $\lambda <-{\lambda }_c$. They all correspond to a Fermi liquid but with very different quasiparticle phase shifts and different physical properties. The crossover between these regimes is controlled by an emergent scale, the orbital Kondo temperature, ${\lambda }_c=T_K^{\mathrm{orb}}$ that drops with increasing interaction strength. This implies that oxides with strong electronic correlations are more prone to the effects of the spin-orbit coupling.

arXiv comment5 pages, 3 figures

References in corpus (26)

• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• The numerical renormalization group method for quantum impurity systems
• Strong electronic correlations from Hund's coupling
• Janus-faced influence of the Hund's rule coupling in strongly correlated materials
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Reduced effective spin-orbital degeneracy and spin-orbital ordering in paramagnetic transition metal oxides: Sr2IrO4 vs. Sr2RhO4
• Novel magnetism of Ir5+ ions in the double perovskite Sr2YIrO6
• Nature of the Mott transition in Ca2RuO4
• DMFT+NRG study of spin-orbital separation in a three-band Hund's metal
• Fractional power-law behavior and its origin in iron-chalcogenide and ruthenate superconductors: Insights from first-principles calculations
• Coulomb-Enhanced Spin-Orbit Splitting: The Missing Piece in the Sr2RhO4 Puzzle
• Electronic correlations, magnetism and Hund's rule coupling in the ruthenium perovskites SrRuO${}_3$ and CaRuO${}_3$
• Novel magnetic state in $d^4$ Mott insulators
• Thermopower and Entropy: lessons from Sr${}_2$RuO${}_4$
• Tuning emergent magnetism in a Hund's impurity
• Optical Response of Sr${}_2$RuO${}_4$ Reveals Universal Fermi-liquid Scaling and Quasiparticles Beyond Landau Theory
• Electronic correlations and Hund's coupling effects in SrMoO${}_3$ revealed by photoemission spectroscopy
• J-freezing and Hund's rules in spin-orbit-coupled multiorbital Hubbard models
• Analytic theory of Hund's metals: a renormalization group perspective
• Adaptive logarithmic discretization for numerical renormalization group methods
• Kondo resonance of a Co atom exchange coupled to a ferromagnetic tip
• Low-energy physics of three-orbital impurity model with Kanamori interaction
• Band Structure and Terahertz Optical Conductivity of Transition Metal Oxides: Theory and Application to CaRuO${}_3$

Cited by in corpus (9)

• Spin-Orbit Coupling and Electronic Correlations in Sr2RuO4
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Strongly correlated materials from a numerical renormalization group perspective: How the Fermi-liquid state of Sr${}_2$RuO${}_4$ emerges
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Spin-orbit coupling and correlations in three-orbital systems
• BaOsO${}_3$: A Hund's metal in the presence of strong spin-orbit coupling
• Complex Time Evolution in Tensor Networks
• On the Spatial Locality of Electronic Correlations in LiFeAs
• Nature of the Doping-Driven Metal-Insulator Transition in Correlated Electron Systems with strong Hund's Exchange Coupling