Hund physics landscape of two-orbital system

Abstract

Motivated by the recent discovery of superconductivity in infinite-layer nickelates RE${}_{1-\delta }$Sr${}_{\delta }$NiO${}_2$ (RE$=$Nd, Pr), we study the role of Hund's coupling $J$ in a quarter-filled two-orbital Hubbard model which has been on the periphery of the attention. A region of negative effective Coulomb interaction of this model is revealed to be differentiated from three- and five-orbital models in their typical Hund's metal active fillings. We identify distinctive regimes including four different correlated metals, one of which stems from the proximity to a Mott insulator while the other three, which we call "intermediate" metal, weak Hund's metal, and valence-skipping metal, from the effect of $J$ being away from Mottness. Defining criteria characterizing these metals are suggested, establishing the existence of Hund's metallicity in two-orbital systems.

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• Low Valence Nickelates: Launching the Nickel Age of Superconductivity
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• $\mathrm{F}{\mathrm{e}}_3\mathrm{GeT}{\mathrm{e}}_2$: A site-differentiated Hund metal
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Microscopic Theory of Superconducting Phase Diagram in Infinite-Layer Nickelates
• Heavy-fermions in frustrated Hund's metal with portions of incipient flat-bands
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Tuning orbital-selective phase transitions in a two-dimensional Hund's correlated system
• Low-energy perspective on two-orbital Hund metals and the case of LaNiO2
• Precise ground state of multi-orbital Mott systems via the variational discrete action theory
• Frozen spin ratio and the detection of Hund correlations
• Comparative analysis of methods for calculating Hubbard parameters using cRPA
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
• Pressure effects on the electronic structure and magnetic properties of infinite-layer nickelates
• Local magnetic moment formation and Kondo screening in the presence of Hund exchange: the two-band Hubbard model analysis
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