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Combining the Hybrid Functional Method with Dynamical Mean-Field Theory

David Jacob, Kristjan Haule, Gabriel Kotliar

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Abstract

PACS 71.27.+a – Strongly correlated electron systems; heavy fermions Abstract.- We present a new method to compute the electronic structure of correlated materials combining the hybrid functional method with the dynamical mean-field theory. As a test example of the method we study cerium sesquioxide, a strongly correlated Mott-band insulator. The hybrid functional part improves the magnitude of the pd-band gap which is underestimated in the standard approximations to density functional theory while the dynamical mean-field theory part splits the 4f-electron spectra into a lower and an upper Hubbard band. Introduction. – Recently, there has been considerable progress in the realistic description of strongly correlated materials by combining density functional theory [1] (DFT) with the dynamical mean-field theory (DMFT) [2–5]. In this DFT+DMFT approach [6, 7], DFT is employed

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PACS 71.27.+a – Strongly correlated electron systems; heavy fermions Abstract.- We present a new method to compute the electronic structure of correlated materials combining the hybrid functional method with the dynamical mean-field theory. As a test example of the method we study cerium sesquioxide, a strongly correlated Mott-band insulator. The hybrid functional part improves the magnitude of the pd-band gap which is underestimated in the standard approximations to density functional theory while the dynamical mean-field theory part splits the 4f-electron spectra into a lower and an upper Hubbard band. Introduction. – Recently, there has been considerable progress in the realistic description of strongly correlated materials by combining density functional theory [1] (DFT) with the dynamical mean-field theory (DMFT) [2–5]. In this DFT+DMFT approach [6, 7], DFT is employed

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Available abstract

PACS 71.27.+a – Strongly correlated electron systems; heavy fermions Abstract.- We present a new method to compute the electronic structure of correlated materials combining the hybrid functional method with the dynamical mean-field theory. As a test example of the method we study cerium sesquioxide, a strongly correlated Mott-band insulator. The hybrid functional part improves the magnitude of the pd-band gap which is underestimated in the standard approximations to density functional theory while the dynamical mean-field theory part splits the 4f-electron spectra into a lower and an upper Hubbard band. Introduction. – Recently, there has been considerable progress in the realistic description of strongly correlated materials by combining density functional theory [1] (DFT) with the dynamical mean-field theory (DMFT) [2–5]. In this DFT+DMFT approach [6, 7], DFT is employed

Key concepts: Dynamical mean field theory, Density functional theory, Mean field theory, Hybrid functional, Sesquioxide, Hubbard model, Band gap, Strongly correlated material

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