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The density functional theory (DFT) is the most versatile electronic structure method used in quantum chemical calculations, and is increasingly applied in astrochemical research. This mini-review provides an overview of the applications of…

Astrophysics of Galaxies · Physics 2023-10-24 Qingli Liao , Junzhi Wang , Peng Xie , Enwei Liang , Zhao Wang

An efficient method to compute magnetic exchange interactions in systems with strong correlations is introduced. It is based on a magnetic force theorem which evaluates linear response due to rotations of magnetic moments and uses a novel…

Strongly Correlated Electrons · Physics 2007-05-23 Xiangang Wan , Quan Yin , Sergej Y. Savrasov

While the ground state of magnetic materials is in general well described on the basis of spin density functional theory (SDFT), the theoretical description of finite-temperature and non-equilibrium properties require an extension beyond…

Materials Science · Physics 2022-06-22 Sergiy Mankovsky , Hubert Ebert

A translationally invariant formulation of the Hartree-Fock (HF) $\Gamma$-point approximation is presented. This formulation is achieved through introduction of the Minimum Image Convention (MIC) at the level of primitive two-electron…

Materials Science · Physics 2016-08-16 C. J. Tymczak , Valéry T. Weber , Eric Schwegler , Matt Challacombe

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

The exchange-only optimized effective potential method is implemented with the use of Slater-type basis functions, seeking for an alternative to the standard methods of solution with some computational advantages. This procedure has been…

Chemical Physics · Physics 2011-12-22 J. J. Fernandez , J. E. Alvarellos , P. Garcia-Gonzalez , M. Filatov

We report calculations of the high harmonic generation spectra of the C\textsubscript{60} fullerene molecule, employing a diverse set of real-time time-dependent quantum chemical methods. All methodologies involve expanding the propagated…

Chemical Physics · Physics 2023-12-05 Aleksander P. Woźniak , Robert Moszyński

The paper describes a general glance to the use of element exchange techniques for optimization over permutations. A multi-level description of problems is proposed which is a fundamental to understand nature and complexity of optimization…

Data Structures and Algorithms · Computer Science 2011-02-23 Mark Sh. Levin

The investigation of magnetic energy landscapes and the search for ground states of magnetic materials using ab initio methods like density functional theory (DFT) is a challenging task. Complex interactions, such as superexchange and…

Materials Science · Physics 2024-12-24 Jakob Baumsteiger , Lorenzo Celiberti , Patrick Rinke , Milica Todorović , Cesare Franchini

Hybrid density functional approximations (DFAs) offer compelling accuracy for ab initio electronic-structure simulations of molecules, nanosystems, and bulk materials, addressing some deficiencies of computationally cheaper, frequently used…

The self-consistent evaluation of Hubbard parameters using linear-response theory is crucial for quantitatively predictive calculations based on Hubbard-corrected density-functional theory. Here, we extend a recently-introduced approach…

Materials Science · Physics 2021-02-02 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

Electron transfer with changing occupation in the 4f subshell poses a considerable challenge for quantitative predictions in quantum chemistry. Using the example of cerium oxide, we identify the main deficiencies of common…

Chemical Physics · Physics 2021-12-07 Tobias Schäfer , Nathan Daelman , Núria López

Density-functional theory simplifies many-electron calculations by approximating the exchange and correlation interactions with a one-electron operator that is a functional of the density. Hybrid functionals incorporate some amount of exact…

Materials Science · Physics 2021-02-03 John Vinson

The selection rules of high harmonic generation (HHG) are investigated using three-dimensional time-dependent density functional theory (TDDFT). From the harmonic spectra obtained with various real molecules and different forms of laser…

Atomic Physics · Physics 2016-09-28 Xi Liu , Xiaosong Zhu , Liang Li , Yang Li , Qingbin Zhang , Pengfei Lan , Peixiang Lu

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

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

Interactions between rhenium impurities in silicon are investigated by means of the density functional theory (DFT) and the DFT+U scheme. All couplings between impurities are ferromagnetic except the Re-Re dimers which in the DFT method are…

Materials Science · Physics 2012-07-13 Malgorzata Wierzbowska

Quantum mechanical methods based on the density functional theory (DFT) offer a realistic possibility of first-principles design of organic donor-acceptor systems and engineered band-gap materials. This promise is contingent upon the…

Chemical Physics · Physics 2013-12-03 Marcin Modrzejewski , Grzegorz Chałasiński , Małgorzata M. Szczęśniak

Theoretical prediction of the 2nd-order magnetic transition temperature (TM) used to be arduous. Here, we develop a first principle-based, fully automatic structure-to-TM method for two-dimensional (2D) magnets whose effective Hamiltonians…

Materials Science · Physics 2023-12-08 Haichang Lu , Tai Yang , Zhimei Sun , John Robertson , Weisheng Zhao

Supercell modelling of an electrical double layer (EDL) at electrified solid-electrolyte interfaces is a challenge. The net polarization of EDLs arising from the fixed chemical composition setup leads to uncompensated EDLs under periodic…

Soft Condensed Matter · Physics 2018-07-23 Chao Zhang

The paper proposes a method to obtain the optimal basis set for solving the self consistent field (SCF) equations for large atomic systems in order to calculate the energy barriers in tunneling structures, with higher accuracy and speed.…

Mathematical Physics · Physics 2009-12-16 Sever Spanulescu