Nonlocal correlations induced by Hund's coupling: a cluster DMFT study

Abstract

We study spatial correlation effects in multiorbital systems, especially in a paramagnetic metallic state subject to Hund's coupling. We apply a cluster extension of the dynamical mean-field theory (DMFT) to the three-orbital Hubbard model away from half filling, where previous single-site DMFT studies revealed that local correlation effects caused by Hund's coupling bring about unusual strongly-correlated metallic behaviors. We find that Hund's coupling significantly affects the nonlocal correlations, too; it strongly modulates the electron distribution in the momentum space so as to make a momentum region almost half-filled and hence strongly correlated. It leads to an anomalous electronic state distinct both from the Fermi liquid and the Mott insulator. We identify the mechanism of the anomalous state with the intersite ferromagnetic correlations induced by Hund's coupling.

6pages, 4 figures

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• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• Anisotropy of electronic correlations: On the applicability of local theories to layered materials
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• Nonlocal Coulomb interaction and spin-freezing crossover as a route to valence-skipping charge order
• Validity of the Local Approximation in Iron- Pnictides and Chalcogenides
• Fully filling-controlled pyrochlore ruthenates: emergent ferromagnetic-metal state and geometrical Hall effect
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
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• Splitting of electronic spectrum in paramagnetic phase of itinerant ferromagnets and altermagnets
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• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations
• PhD Thesis: Electronic correlations in multiorbital systems