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We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Emmanuel Fromager

The exact-exchange relativistic density functional theory (Ex-RDFT) of atomic nuclei has been solved in three-dimensional lattice space for the first time. The exchange energy is treated within the framework of the orbital-dependent…

Nuclear Theory · Physics 2024-12-16 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Kenichi Yoshida

Density matrix embedding theory (DMET) is a quantum embedding theory for strongly correlated systems. From a computational perspective, one bottleneck in DMET is the optimization of the correlation potential to achieve self-consistency,…

Chemical Physics · Physics 2019-09-04 Xiaojie Wu , Zhi-Hao Cui , Yu Tong , Michael Lindsey , Garnet Kin-Lic Chan , Lin Lin

The dimerized one-dimensional Hubbard model is studied in the framework of lattice density-functional theory (LDFT). The single-particle density matrix gamma_{ij} with respect to the lattice sites is considered as basic variable. The…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

Site-occupation embedding theory (SOET) is an in-principle-exact multi-determinantal extension of density-functional theory for model Hamiltonians. Various extensions of recent developments in SOET [Senjean et al., Phys. Rev. B 97, 235105…

Strongly Correlated Electrons · Physics 2019-08-06 Bruno Senjean , Naoki Nakatani , Masahisa Tsuchiizu , Emmanuel Fromager

In practical implementations of density-functional theory, the only term where an orbital description is needed is the kinetic one. Even this term in principle depends on the density only, but its explicit form is unknown. We provide a…

Materials Science · Physics 2007-05-23 L. De Santis , R. Resta

Static electric response properties of atoms and molecules are reported within the real-space Cartesian grid implementation of pseudopotential Kohn-Sham (KS) density functional theory (DFT). A detailed systematic investigation is made for a…

Chemical Physics · Physics 2019-04-26 Tanmay Mandal , Abhisek Ghosal , Amlan K. Roy

Density-corrected density functional theory (DC-DFT) is enjoying substantial success in improving semilocal DFT calculations in a wide variety of chemical problems. This paper provides the formal theoretical framework and assumptions for…

Chemical Physics · Physics 2019-08-19 Stefan Vuckovic , Suhwan Song , John Kozlowski , Eunji Sim , Kieron Burke

The strong boundary normalized condition of wavefunction for fully occupied semicore 3d orbitals leads the linear response DFT+U on such metal oxide to have an insurmountable obstacle in Hubbard U determination. We treated the orbital…

Strongly Correlated Electrons · Physics 2015-11-17 Bolong Huang

Density functional theory (DFT) can run into serious difficulties with localized states in elements such as transition metals with occupied-d states and oxygen. In contrast, Hartree-Fock (HF) method can be a better approach for such…

Materials Science · Physics 2018-08-01 Hengxin Tan , Yuanchang Li , S. B. Zhang , Wenhui Duan

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A…

Strongly Correlated Electrons · Physics 2009-11-10 R. Lopez-Sandoval , G. M. Pastor

We describe an efficient quantum embedding framework for realistic ab initio density matrix embedding (DMET) calculations in solids. We discuss in detail the choice of orbitals and mapping to a lattice, treatment of the virtual space and…

Strongly Correlated Electrons · Physics 2020-01-15 Zhi-Hao Cui , Tianyu Zhu , Garnet Kin-Lic Chan

The stochastic density functional theory (DFT) [Phys. Rev. Lett. 111, 106402 (2013)] is a valuable linear scaling approach to Kohn-Sham DFT that does not rely on the sparsity of the density matrix. Linear (and often sub-linear) scaling is…

Chemical Physics · Physics 2019-02-20 Ming Chen , Roi Baer , Daniel Neuhauser , Eran Rabani

Standard approximations for the exchange-correlation (XC) functional in Kohn-Sham density functional theory (KS-DFT) typically lead to unacceptably large errors when applied to strongly-correlated electronic systems. Partition-DFT (PDFT) is…

Chemical Physics · Physics 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman

The reconstruction of the exchange-correlation potential from accurate ab initio electron densities can provide insights into the limitations of the currently available approximate functionals and provide guidance for devising improved…

Strongly Correlated Electrons · Physics 2013-02-05 Katharina Boguslawski , Christoph R. Jacob , Markus Reiher

We have performed a thorough computational study to assess the accuracy of density functional theory (DFT) methods in describing the interactions of CO2 with model alkali-earth-metal (AEM, Ca and Li) decorated carbon structures, namely…

Materials Science · Physics 2013-01-15 Claudio Cazorla , Stephen A. Shevlin

Over this past decade, we combined the idea of stochastic resolution of identity with a variety of electronic structure methods. In our stochastic Kohn-Sham DFT method, the density is an average over multiple stochastic samples, with…

Chemical Physics · Physics 2020-01-08 Wenfei Li , Ming Chen , Eran Rabani , Roi Baer , Daniel Neuhauser

We present a general computational protocol for the evaluation of extensive molecular response properties in complex environments within a polarizable quantum embedding framework. The approach extends multilevel density functional theory…

Chemical Physics · Physics 2026-02-11 Alberto Barlini , Julien Bloino , Henrik Koch , Tommaso Giovannini

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

Statistical Mechanics · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

In this paper we establish a connection between density functional theory (DFT) for lattice models and common real-space DFT. We consider the lattice DFT description of a two-level model subject to generic interactions in Mermin's DFT…

Strongly Correlated Electrons · Physics 2023-10-23 Nahual Sobrino , David Jacob , Stefan Kurth