Journal Article FZJ-2024-02839

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Band gaps of insulators from moment-functional-based spectral density functional theory

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2023
Inst. Woodbury, NY

Physical review / B 108(16), 165137 () [10.1103/PhysRevB.108.165137]

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Abstract: Within the method of spectral moments it is possible to construct the spectral function of a many-electron system from the first 2P spectral moments (P=1,2,3,⋯). The case P=1 corresponds to standard Kohn-Sham density functional theory (KS-DFT). Taking P>1 allows us to consider additional important properties of the uniform electron gas (UEG) in the construction of suitable moment potentials for moment-functional-based spectral density functional theory (MFbSDFT). For example, the quasiparticle renormalization factor Z, which is not explicitly considered in KS-DFT, can be included easily. In the four-pole approximation of the spectral function of the UEG (corresponding to P=4) we can reproduce the momentum distribution, the second spectral moment, and the charge response acceptably well, while a treatment of the UEG by KS-DFT reproduces from these properties only the charge response. For weakly and moderately correlated systems we can reproduce the most important aspects of the four-pole approximation by an optimized two-pole model, which leaves out the low-energy satellite band. From the optimized two-pole model we extract parameter-free universal moment potentials for MFbSDFT, which improve the description of the band gaps in Si, SiC, BN, MgO, CaO, and ZnO significantly.

Classification:

Contributing Institute(s):
  1. Quanten-Theorie der Materialien (IAS-1)
  2. Quanten-Theorie der Materialien (PGI-1)
Research Program(s):
  1. 5211 - Topological Matter (POF4-521) (POF4-521)
  2. DFG project 444844585 - Statische und dynamische Kopplung von Gitter- und elektronischen Freiheitsgraden in magnetisch geordneten Übergangsmetalldichalkogenieden (B06) (444844585) (444844585)
  3. 3D MAGiC - Three-dimensional magnetization textures: Discovery and control on the nanoscale (856538) (856538)
  4. SFB 1238 C01 - Strukturinversionsasymmetrische Materie und Spin-Orbit-Phänomene mittels ab initio (C01) (319898210) (319898210)
  5. DFG project 448880005 - Ab-Initio Entdeckung topologischer magnetischer Hochtemperaturmaterialien (448880005) (448880005)

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 Record created 2024-04-16, last modified 2025-02-03


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