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Double hybrid density functional theory arguably sits on the seamline between wavefunction methods and DFT: it represents a special case of Rung 5 on the "Jacobs Ladder" of John P. Perdew. For large and chemically diverse benchmarks such as…

Chemical Physics · Physics 2020-10-16 Jan M. L. Martin , Golokesh Santra

GW approximation is one of the most popular parameter-free many-body methods that goes beyond the limitations of the standard density functional theory (DFT) to determine the excitation spectra for moderately correlated materials and in…

Materials Science · Physics 2023-12-12 Kristjan Haule , Subhasish Mandal

A finite electronic band gap is a standard filter in high-throughput screening of materials using density functional theory (DFT). However, because of the systematic underestimation of band gaps in standard DFT approximations, a number of…

Materials Science · Physics 2021-09-15 Kristian Berland , Ole Martin Løvvik , Rasmus Tranås

While highly successful, density functional theory is known to have limitations owing to its neglect of many-body electron-electron interactions. This neglect leads to errors in the single-particle energies, leading to underestimated band…

Materials Science · Physics 2026-04-16 John Vinson , Terrence Jach , Rainer Unterumsberger , Michael A. Woodcox , Burkhard Beckhoff

Backward waves and negative refraction are shown to exist in plasmonic crystals whose lattice cell size is a very small fraction of the vacuum wavelength (less than 1/40th in an illustrative example). Such ``quasi-homogeneity'' is…

Optics · Physics 2015-05-13 Igor Tsukerman

A key to understand how electrons behave in crystalline solids is the band structure that connects the energy of electron waves to their wavenumber (k). Even in the phase of matter with only short-range order (liquid or amorphous solid),…

Strongly Correlated Electrons · Physics 2025-07-11 Sae Hee Ryu , Minjae Huh , Do Yun Park , Chris Jozwiak , Eli Rotenberg , Aaron Bostwick , Keun Su Kim

The theoretical investigation of spectral functions and pseudogap in systems with strongly correlated electrons is discussed, with the emphasis on the single-band t-J model as relevant for superconducting cuprates. The evidence for the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Prelovsek , A. Ramsak

The properties of metallic systems with important and structured excitations at low energies, such as Cu, are challenging to describe with simple models like the plasmon pole approximation (PPA), and more accurate and sometimes prohibitive…

Materials Science · Physics 2023-04-26 Dario A. Leon , Andrea Ferretti , Daniele Varsano , Elisa Molinari , Claudia Cardoso

The consistency between the exchange-correlation functional used in pseudopotential construction and in the actual density functional theory calculation is essential for the accurate prediction of fundamental properties of materials.…

Chemical Physics · Physics 2018-02-21 Jing Yang , Liang Z. Tan , Andrew M. Rappe

Internal energies, enthalpies, phonon dispersion curves, and superconductivity of atomic metallic hydrogen are calculated. The (standard) use pseudopotentials in density-functional theory are compared with full (Coulomb)-potential…

Materials Science · Physics 2019-12-05 Jin Zhang , Jeffrey M. McMahon

Modifications to the quasiparticle self-consistent GW (QSGW) method needed to correctly describe metal/vacuum interfaces and other systems having extended regions with small electron density are identified and implemented. The method's…

Materials Science · Physics 2010-03-30 Sergey V. Faleev , Oleg N. Mryasov , Thomas R. Mattsson

We address the problem of bounding rigorously the errors in the numerical solution of the Kohn-Sham equations due to (i) the finiteness of the basis set, (ii) the convergence thresholds in iterative procedures, (iii) the propagation of…

Computational Physics · Physics 2020-09-04 Michael F. Herbst , Antoine Levitt , Eric Cancès

Density functional theory (DFT) calculations of defect levels in semiconductors based on approximate functionals are subject to considerable uncertainties, in particular due to inaccurate band gap energies. Testing previous correction…

Materials Science · Physics 2015-05-14 Stephan Lany , Alex Zunger

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia

The journey of theoretical study on semiconductors is reviewed in a non-conventional way. We have started with the basic introduction of Hartree-Fock method and introduce the fundamentals of Density Functional Theory (DFT). From the oldest…

Materials Science · Physics 2021-05-04 Sujoy Datta , Debnarayan Jana

While in strongly correlated materials one often focuses on local electronic correlations, the influence of non-local exchange and correlation effects beyond band-theory can be pertinent in systems with more extended orbitals. Thus in many…

Strongly Correlated Electrons · Physics 2015-03-24 Jan M. Tomczak

$\rm BaBiO_3$ is characterized by a charge disproportionation with half of the Bi atoms possessing a valence 3+ and half a valence 5+. Because of selfinteraction errors, local and semi-local density functionals fail to describe the charge…

Strongly Correlated Electrons · Physics 2009-11-18 C. Franchini , A. Sanna , M. Marsman , G. Kresse

We present improved band structure calculations of the Mg-IV-N$_2$ compounds in the quasiparticle self-consistent $GW$ approximation. Compared to previous calculations (Phys. Rev. B 94, 125201 (2016)) we here include the effects of the…

Materials Science · Physics 2019-07-24 Sai Lyu , Walter R. L. Lambrecht

We introduce a method that allows for the calculation of quasi-particle spectra in the GW approximation, yet avoiding any explicit reference to empty one-electron states. This is achieved by expressing the irreducible polarizability…

Materials Science · Physics 2015-05-14 P. Umari , G. Stenuit , S. Baroni

Reconstructing a density of states or similar distribution from moments or continued fractions is an important problem in calculating the electronic and vibrational structure of defective or non-crystalline solids. For single bands a…

Strongly Correlated Electrons · Physics 2015-05-20 Roger Haydock , C. M. M. Nex
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