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Accurate computational predictions of band gaps are of practical importance to the modeling and development of semiconductor technologies, such as (opto)electronic devices and photoelectrochemical cells. Among available electronic-structure…

Materials Science · Physics 2021-03-16 Nicole E. Kirchner-Hall , Wayne Zhao , Yihuang Xiong , Iurii Timrov , Ismaila Dabo

Semi-local DFT methods exhibit significant errors for the phase diagrams of transition-metal oxides that are caused by an incorrect description of molecular oxygen and the large self-interaction error in materials with strongly localized…

Materials Science · Physics 2022-03-29 Nongnuch Artrith , José Antonio Garrido Torres , Alexander Urban , Mark S. Hybertsen

Approximate semi-local density functional theory (DFT) is known to underestimate surface formation energies yet paradoxically overbind adsorbates on catalytic transition-metal oxide surfaces due to delocalization error. The low-cost DFT+U…

Materials Science · Physics 2021-11-24 Akash Bajaj , Heather J. Kulik

Predicting the compositional phase stability of strongly correlated electron materials is an outstanding challenge in condensed matter physics, requiring precise computations of total energies. In this work, we employ the density functional…

Strongly Correlated Electrons · Physics 2020-07-28 Eric B. Isaacs , Chris A. Marianetti

We develop a generalization of the Kohn-Sham density functional theory (KS-DFT) + Hubbard $U$ (DFT+$U$) method to the excited-state regime. This has the form of Hubbard $U$ corrected linear-response time-dependent DFT, or `TDDFT+$U$'.…

Strongly Correlated Electrons · Physics 2019-04-24 Okan K. Orhan , David D. O'Regan

In approximate density functional theory (DFT), the self-interaction error is an electron delocalization anomaly associated with underestimated insulating gaps. It exhibits a predominantly quadratic energy-density curve that is amenable to…

Chemical Physics · Physics 2016-12-21 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

Predicting the compositional phase stability of strongly correlated electron materials is an outstanding challenge in condensed matter physics. In this work, we employ the DFT+U formalism to address the effects of local correlations due to…

Strongly Correlated Electrons · Physics 2017-02-01 Eric B. Isaacs , Chris A. Marianetti

In electronic structure methods based on the correction of approximate density-functional theory (DFT) for systematic inaccuracies, Hubbard $U$ parameters may be used to quantify and amend the self-interaction errors ascribed to selected…

Strongly Correlated Electrons · Physics 2017-04-27 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

Several methods have been developed to improve the predictions of density functional theory (DFT) in the case of strongly correlated electron systems. Out of these approaches, DFT+$U$, which corresponds to a static treatment of the local…

Strongly Correlated Electrons · Physics 2025-04-01 Alberto Carta , Iurii Timrov , Peter Mlkvik , Alexander Hampel , Claude Ederer

While density functional theory (DFT) is widely applied for its combination of cost and accuracy, corrections (e.g., DFT+U) that improve it are often needed to tackle correlated transition-metal chemistry. In principle, the functional form…

Chemical Physics · Physics 2021-03-12 Akash Bajaj , Heather J. Kulik

We present a formulation and implementation of the DFT+\textit{U} method within the framework of linear combination of numerical atomic orbitals (NAO). Our implementation not only enables single-point total energy and electronic-structure…

Materials Science · Physics 2022-06-29 Xin Qu , Peng Xu , Hong Jiang , Lixin He , Xinguo Ren

In this article we introduce a generalization of the popular DFT+U method based on the extended Hubbard model that includes on-site and inter-site electronic interactions. The novel corrective Hamiltonian is designed to study systems for…

Strongly Correlated Electrons · Physics 2015-05-13 Vivaldo Leiria Campo , Matteo Cococcioni

For reliable and efficient inclusion of electron-electron correlation effects in nanosystems we propose a combined density-functional-theory/nonhomogeneous dynamical-mean-field-theory (DFT + DMFT) approach which employs an approximate…

Strongly Correlated Electrons · Physics 2013-11-14 Alamgir Kabir , Volodymyr Turkowski , Talat S. Rahman

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

Multipolar magnetic phases in correlated insulators represent a great challenge for Density Functional Theory (DFT) due to the coexistence of intermingled interactions, typically spin-orbit coupling, crystal field and complex non-collinear…

Strongly Correlated Electrons · Physics 2022-07-27 Dario Fiore Mosca , Leonid V. Pourovskii , Cesare Franchini

Density functional theory (DFT) has been widely applied to a variety of realistic materials but often struggles to explain the properties of correlated systems. The DFT + U method, which introduces a Hubbard U correction to the DFT, has…

Strongly Correlated Electrons · Physics 2025-08-20 Ju Hyeon Lee , Bongjae Kim

Dynamical Mean-Field Theory (DMFT) has established itself as a reliable and well-controlled approximation to study correlation effects in bulk solids and also two-dimensional systems. In combination with standard density-functional theory…

Atomic and Molecular Clusters · Physics 2015-05-30 V. Turkowski , A. Kabir , N. Nayyar , Talat S. Rahman

In the Letter [J. Nucl. Mater. 444, 356 (2014)] and Comment [Phys Rev B 90, 157101 (2014)], Soderlind et al. argue that 1) DFT based on GGA already models U metal and U-Zr alloy accurately, and 2) DFT + U models them worse than DFT…

Materials Science · Physics 2016-02-01 Wei Xie , Chris A. Marianetti , Dane Morgan

The density functional theory (DFT)+U method based on the linear response (LR) theory was applied to investigate the electronic structures of Co-based ternary full Heusler alloy Co$_2Y$Si for exploring half-metallic (HM) ferromagnets with a…

Materials Science · Physics 2019-06-11 Kenji Nawa , Yoshio Miura

We present an implementation of the density-functional theory DFT$+U$$+V$ formalism within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method as implemented in the FLEUR code. The DFT$+U$$+V$ formalism extends…

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