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Book Chapter
Book cover for Strain Engineering in Functional Materials and Devices
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425590_002
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
...-field theory (DMFT) technique and the GW method ( Heyd et al., 2003 ; Shishkin and Kresse, 2006 ; and Shishkin and Kresse, 2007 ). In DFT+U [ Eq. (2.8) ], intra-orbital Coulomb repulsion between electrons of the TM ion or the Hubbard-U is taken into account by the term 1 2 U Σ i...
Book
Book cover for Strain Engineering in Functional Materials and Devices
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425590
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
Images
A schematic metal-to-insulator transition of the Hubbard model within DMFT.
Published: August 2022
FIG. 5.2 A schematic metal-to-insulator transition of the Hubbard model within DMFT. Figure taken from Kotliar and Vollhardt (2004) . Copyright 2004 American Institute of Physics. More about this image found in A schematic metal-to-insulator transition of the Hubbard model within DMFT....
Images
Comparison with the LDA+DMFT spectral function and experimental PES/IPES spectra. The figures are taken from Amadon et al. (2006) and the experimental spectra come from Wuilloud et al. (1983) and Wieliczka et al. (1984).
Published: August 2022
FIG. 8.5 Comparison with the LDA+DMFT spectral function and experimental PES/IPES spectra. The figures are taken from Amadon et al. (2006) and the experimental spectra come from Wuilloud et al. (1983) and Wieliczka et al. (1984) . More about this image found in Comparison with the LDA+DMFT spectral function and experimental PES/IPES sp...
Images
Spectral function for paramagnetic NiO calculated using LDA+DMFT with two different double-counting corrections (see the text). The figure is taken from Karolak et al. (2010). Copyright 2010 Elsevier B.V.
Published: August 2022
FIG. 8.9 Spectral function for paramagnetic NiO calculated using LDA+DMFT with two different double-counting corrections (see the text). The figure is taken from Karolak et al. (2010) . Copyright 2010 Elsevier B.V. More about this image found in Spectral function for paramagnetic NiO calculated using LDA+DMFT with two d...
Images
Spectral function for SrVO3 computed with LDA+DMFT with different double-counting corrections (see the text). The experimental spectra are reproduced with permission from Yoshimatsu et al., Phys. Rev. Lett. 104, 147601 (2010).
Published: August 2022
FIG. 8.10 Spectral function for SrVO3 computed with LDA+DMFT with different double-counting corrections (see the text). The experimental spectra are reproduced with permission from Yoshimatsu et al., Phys. Rev. Lett. 104 , 147601 (2010). Copyright 2010 American Physical More about this image found in Spectral function for SrVO3 computed with LDA+DMFT with differen...
Images
Illustration of the full-cell GW+DMFT treatment for a simplified 1D chain with two atoms per unit cell. The correlation between the atoms in the same unit cell is treated within the impurity problem, while the correlations between the atoms in different unit cells are treated within the GWA. The correlations between the atoms in the same unit cell are treated at a higher level of approximation than the correlations between atoms in neighboring cells, even though the physical distance between the atoms can be similar.
Published: August 2022
FIG. 8.16 Illustration of the full-cell GW+DMFT treatment for a simplified 1D chain with two atoms per unit cell. The correlation between the atoms in the same unit cell is treated within the impurity problem, while the correlations between the atoms in different unit cells are treated More about this image found in Illustration of the full-cell GW+DMFT treatment for a simp...
Images
Left: Comparison of the LDA DOS and DMFT spectral function for SrVO3 and SrMoO3 with the photoemission spectra. Reproduced with permission from Wadati et al., Phys. Rev. B 90, 205131 (2014). Copyright 2014 American Physical Society. Right: Spectral function for SrVO3 computed with the cumulant expansion. Reproduced with permission from Gatti and Guzzo, Phys. Rev. B 87, 155147 (2013). Copyright 2013 American Physical Society. The bremsstrahlung isochromat spectroscopy (BIS) spectra and the first photoemission spectroscopy data PES(1) are taken from Morikawa et al. (1995) and PES(2) from Sekiyama et al. (2004).
Published: August 2022
FIG. 9.3 Left: Comparison of the LDA DOS and DMFT spectral function for SrVO3 and SrMoO3 with the photoemission spectra. Reproduced with permission from Wadati et al., Phys. Rev. B 90 , 205131 (2014). Copyright 2014 American Physical Society. Right: Spectral More about this image found in Left: Comparison of the LDA DOS and DMFT spectral function for SrVO3...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_frontmatter
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
...Front Matter Downfolding Methods in Many-Electron Theory is a comprehensive description of the last 30 years of study in this field, starting from LDA+U to LDA+DMFT and arriving at the recent work on multitier self-consistent GW+EDMFT. It focuses on different levels of first-principles...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_index
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
...Index Downfolding Methods in Many-Electron Theory is a comprehensive description of the last 30 years of study in this field, starting from LDA+U to LDA+DMFT and arriving at the recent work on multitier self-consistent GW+EDMFT. It focuses on different levels of first-principles...
Images
Quasiparticle band structure (left) and k-integrated spectral function (right) of SrVO3 within the G0W0+DMFT(A) scheme, compared with G0W0 and LDA+DMFT. The figures are taken from Sakuma et al. (2013).
Published: August 2022
FIG. 8.14 Quasiparticle band structure (left) and k-integrated spectral function (right) of SrVO3 within the G0W0+DMFT(A) scheme, compared with G0W0 and LDA+DMFT. The figures are taken from Sakuma et More about this image found in Quasiparticle band structure (left) and k-integrated spectral function (rig...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_008
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
... the double-counting problem below in the context of LDA+DMFT and also explore alternative double-counting corrections beyond the AMF and FLL expressions. Example: NiO As an illustration of the DFT+U method with different double countings, we will consider NiO in the antiferromagnetic (AFM-II...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_001
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
... ( Gull et al., 2011 ). Although the impurity problem by itself is interesting, we wish, however, to solve the original lattice problem of the Hubbard Hamiltonian. A method that has proven successful in approximately solving the lattice Hubbard model is dynamical mean-field theory (DMFT...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_010
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
... fluctuations. Generally, phenomena associated with phase transitions often involve long-range charge and spin fluctuations. Dual Fermion/Boson DMFT is a very effective method for taking into account strong onsite correlations but it assumes that the self-energy is local without long-range offsite components...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_005
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
...General Concept The concept of dynamical mean-field theory (DMFT) may be illustrated by considering a one-band Hubbard model with one electron per atomic site, (5.1) H ^ = − t ∑ i ≠ j c ^ i † c ^ j + U ∑ i n ^ i ↑ n ^ i...
Book
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_009
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
... of the self-energy within the correlated subspace is computed using DMFT (tier I), the two quantities are added, and the corresponding double counting is removed. The double counting is well defined and is given by the local projection of the GW self-energy with all internal sums restricted...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
0
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
.... Lett.   96 , 066402 ( 2006 ). 10.1103/PhysRevLett.96.066402 Amadon , B. and Gerossier , A. , “ Comparative analysis of models for the α − γ phase transition in cerium: A DFT+DMFT study using Wannier orbitals ,” Phys. Rev. B   91 , 161103 ( 2015 ). 10.1103/PhysRevB...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
0
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
...   94 , 241110 ( 2016 ). 10.1103/PhysRevB.94.241110 Boehnke , L. , Nilsson , F. , Aryasetiawan , F. , and Werner , P. , “ When strong correlations become weak: Consistent merging of GW and DMFT ,” Phys. Rev. B   94 , 201106 ( 2016 ). 10.1103/PhysRevB.94.201106...
Book Chapter
Book cover for Downfolding Methods in Many-Electron Theory
Series: AIPP Books, Methods
Published: August 2022
10.1063/9780735422490_006
EISBN: 978-0-7354-2249-0
ISBN: 978-0-7354-2246-9
... 11 ( 2 ) describes the dynamic correlations. Since Σ 11 ( 2 ) arises from the virtual subspace, it may be incorporated into the one-particle part of the model Hamiltonian as a quasiparticle shift that modifies the one-particle dispersion. In relation to DMFT, we may...