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Related papers: Comments on "Efficient Band Gap Prediction for Sol…

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An oversight of some previous density functional calculations of the band gaps of wurtzite and cubic InN and of wurtzite GaN by Rinke et al. [Appl. Phys. Lett. 89,161919, 2006] led to an inaccurate and misleading statement relative to…

Materials Science · Physics 2011-02-03 D. Bagayoko , L. Franklin , G. L. Zhao

An oversight of several previous results from local density approximation (LDA) calculations appear to have led to an incomplete, and hence misleading, characterization of the capability of density functional theory (DFT) to describe…

Materials Science · Physics 2011-01-28 Diola Bagayoko , Lashounda Franklin , G. L. Zhao

Density functional theory within the local or semilocal density approximations (DFT-LDA/GGA) has become a workhorse in electronic structure theory of solids, being extremely fast and reliable for energetics and structural properties, yet…

These brief comments on the article in Phys. Rev. B 93, 155116 (2016), address an inadvertent misrepresentation of the capabilities of density functional theory (DFT) and of its local density approximation (LDA) in describing electronic and…

Materials Science · Physics 2016-10-18 Diola Bagayoko , Yacouba Issa Diakité , Chinedu E. Ekuma , Lashounda Franklin

The calculation of the band-gap by density-functional theory (DFT) methods is examined by considering the behavior of the energy as a function of number of electrons. It is found that the incorrect band-gap prediction with most approximate…

Materials Science · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

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

The systematic underestimation of band gaps is one of the most fundamental challenges in semilocal density functional theory (DFT). In addition to hindering the application of DFT to predicting electronic properties, the band gap problem is…

Chemical Physics · Physics 2024-08-27 Kyle Bystrom , Stefano Falletta , Boris Kozinsky

The band-gap problem and other systematic failures of approximate functionals are explained from an analysis of total energy for fractional charges. The deviation from the correct intrinsic linear behavior in finite systems leads to…

Materials Science · Physics 2009-11-13 Paula Mori-Sánchez , Aron J. Cohen , Weitao Yang

The DFT-1/2 method in density functional theory [L. G. Ferreira et al., Phys. Rev. B 78, 125116 (2008)] aims to provide accurate band gaps at the computational cost of semilocal calculations. The method has shown promise in a large number…

Materials Science · Physics 2019-03-04 Jan Doumont , Fabien Tran , Peter Blaha

We compare the quasiparticle band structure for a model insulator obtained from the fluctuation exchange approximation (FEA) with the eigenvalues of the corresponding density functional theory (DFT) and local density approximation (LDA).…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Hess , J. W. Serene

The bandgap and band bowing parameter of semiconductor alloys are calculated with a fast and realistic approach. The method is a dielectric scaling approximation that is based on a scissor approximation. It adds an energy shift to the…

Materials Science · Physics 2010-04-08 Titus Sandu , Radu I. Iftimie

We present excited states density functional theory (DFT) to calculate band gap for semiconductors and insulators. For the excited states exchange-correlation functional, we use a simple local density approximation (LDA) like functional and…

The density functional theory (DFT) approximations that are the most accurate for the calculation of band gap of bulk materials are hybrid functionals like HSE06, the MBJ potential, and the GLLB-SC potential. More recently, generalized…

For a set of ten crystalline materials (oxides and semiconductors), we compute the electronic band structures using the Tran-Blaha [Phys. Rev. Lett. 102, 226401 (2009)] (TB09) functional. The band widths and gaps are compared with those…

The local-density approximation (LDA), together with the half-occupation (transition state) is notoriously successful in the calculation of atomic ionization potentials. When it comes to extended systems, such as a semiconductor infinite…

Materials Science · Physics 2009-11-13 Luiz G. Ferreira , Marcelo Marques , Lara K. Teles

We show that a lattice formulation of density-functional theory (DFT), guided by renormalization-group concepts, can be used to obtain numerical predictions of energy gaps, spin-density profiles, critical exponents, sound velocities,…

Strongly Correlated Electrons · Physics 2009-11-13 Francisco C. Alcaraz , Klaus Capelle

The Kohn-Sham gaps of density functional theory (DFT) obtained in terms of local density approximation (LDA) or generalized gradient approximation (GGA) cannot be directly linked to the fundamental gaps of semiconductors, but in engineering…

Materials Science · Physics 2024-09-17 Hanli Cui , Shengxin Yang , Jun-Hui Yuan , Li-Heng Li , Fan Ye , Jinhai Huang , Kan-Hao Xue , Xiangshui Miao

DFT-1/2 is an efficient band gap rectification method for density functional theory (DFT) under local density approximation (LDA) or generalized gradient approximation. It was suggested that non-self-consistent DFT-1/2 should be used for…

Materials Science · Physics 2024-09-17 Hanli Cui , Shengxin Yang , Kan-Hao Xue , Jinhai Huang , Xiangshui Miao

Accurately calculating band gaps for given crystal structures is highly desirable. However, conventional first-principles calculations based on density functional theory (DFT) within the local density approximation (LDA) fail to predict…

Materials Science · Physics 2025-07-28 Shota Tankano , Takao Kotani , Masao Obata , Kazunori Sato , Harutaka Saito , Tatsuki Oda

Calculations of formation energies and charge transition levels of defects routinely rely on density functional theory (DFT) for describing the electronic structure. Since bulk band gaps of semiconductors and insulators are not well…

Materials Science · Physics 2012-04-19 Audrius Alkauskas , Alfredo Pasquarello
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