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The quantum chemical version of the density matrix renormalization group (DMRG) method has established itself as one of the methods of choice for calculations of strongly correlated molecular systems. Despite its great ability to capture…

化学物理 · 物理学 2021-08-31 Pavel Beran , Mikuláš Matoušek , Michał Hapka , Katarzyna Pernal , Libor Veis

Complete active space self-consistent field (CASSCF) computations can be realized at polynomial cost via the variational optimization of the active-space two-electron reduced-density matrix (2-RDM). Like conventional approaches to CASSCF,…

化学物理 · 物理学 2018-12-10 Mohammad Mostafanejad , A. Eugene DePrince

The projection-based wave function (WF)-in-DFT embedding enables an efficient description of both the energetics and properties of large and complex chemical systems, with accuracy exceeding that of pure DFT. Recently, we have proposed…

化学物理 · 物理学 2025-11-18 Enzo Monino , Daria Drwal , Pavel Beran , Michał Hapka , Libor Veis , Katarzyna Pernal

Modern density functional theory (DFT) calculations employ the Kohn-Sham (KS) system of non-interacting electrons as a reference, with all complications buried in the exchange-correlation energy (Exc). The adiabatic connection formula gives…

其他凝聚态物理 · 物理学 2009-10-02 Zhenfei Liu , Kieron Burke

Density functional theory (DFT) remains the most widely used electronic structure method. Although exact in principle, in practice, it relies on approximations to the exchange-correlation (XC) functional, which is known to be a unique…

计算物理 · 物理学 2025-10-14 Vishal Subramanian , Bikash Kanungo , Vikram Gavini

Accurately describing strong electron correlation in complex systems remains a prominent challenge in computational chemistry as near-term quantum algorithms treating total correlation often require prohibitively deep circuits. Here we…

计算工程、金融与科学 · 计算机科学 2026-04-21 Zhanou Liu , Yuhao Chen , Yingjin Ma , Xiao He , Yuxin Deng

Practical density functional theory (DFT) owes its success to the groundbreaking work of Kohn and Sham that introduced the exact calculation of the non-interacting kinetic energy of the electrons using an auxiliary mean-field system.…

化学物理 · 物理学 2023-11-17 P. del Mazo-Sevillano , J. Hermann

Reduced density-matrix functional theory (RDMFT) is a promising alternative approach to the problem of electron correlation. Like standard density functional theory, it contains an unknown exchange-correlation functional, for which several…

化学物理 · 物理学 2017-03-03 N. N. Lathiotakis , Miguel A. L. Marques

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

强关联电子 · 物理学 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi

A hybrid Kohn-Sham Density Functional Theory (KS-DFT) and 1-electron Reduced Density Matrix Functional Theory (1-RDMFT) has recently been developed to describe strongly correlated systems at mean-field computational cost. This approach…

计算物理 · 物理学 2025-04-14 Daniel Gibney , Jan-Niklas Boyn

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

强关联电子 · 物理学 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

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…

化学物理 · 物理学 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman

The density matrix renormalization group (DMRG) method has already proved itself as a very efficient and accurate computational method, which can treat large active spaces and capture the major part of strong correlation. Its application on…

化学物理 · 物理学 2022-10-31 Pavel Beran , Katarzyna Pernal , Fabijan Pavosevic , Libor Veis

Multicomponent density functional theory (DFT) enables the consistent quantum mechanical treatment of both electrons and protons. A major challenge has been the design of electron-proton correlation functionals that produce even…

化学物理 · 物理学 2017-09-26 Yang Yang , Kurt R. Brorsen , Tanner Culpitt , Michael V. Pak , Sharon Hammes-Schiffer

As part of a project to obtain better optical response functions for nano materials and other systems with strong excitonic effects we here calculate the exchange-correlation (XC) potential of density-functional theory (DFT) at a level of…

其他凝聚态物理 · 物理学 2009-11-13 M. Hellgren , U. von Barth

We present a DFT+U-type functional for strong correlation, derived from multiconfigurational wavefunction theory. The reference system experiences electron-electron interactions only in DFT+U-type atomic states, yielding a block-localized…

化学物理 · 物理学 2023-07-25 Benjamin G. Janesko

We present two efficient and intruder-free methods for treating dynamic correlation on top of general multi-configuration reference wave functions---including such as obtained by the density matrix renormalization group (DMRG) with large…

化学物理 · 物理学 2016-09-13 Sandeep Sharma , Gerald Knizia , Sheng Guo , Ali Alavi

Classical density functional theory (cDFT) and dynamical density functional theory (DDFT) are modern statistical mechanical theories for modeling many-body colloidal systems at the one-body density level. The theories hinge on knowing the…

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

In contrast to the original Kohn-Sham (KS) formalism, we propose a density functional theory (DFT) with fractional orbital occupations for the study of ground states of many-electron systems, wherein strong static correlation is shown to be…

化学物理 · 物理学 2015-06-03 Jeng-Da Chai