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We present a novel approach to generate a fingerprint for crystalline materials that balances efficiency for machine processing and human interpretability, allowing its application in both machine learning inference and understanding of…

材料科学 · 物理学 2025-03-21 Tiago F. T. Cerqueira , Haichen Wang , Silvana Botti , Miguel A. L. Marques

Given a set of Kohn-Sham orbitals from an insulating system, we present a simple, robust, efficient and highly parallelizable method to construct a set of, optionally orthogonal, localized basis functions for the associated subspace. Our…

计算物理 · 物理学 2014-11-05 Anil Damle , Lin Lin , Lexing Ying

The Hartree-Fock based diagonalization is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction…

无序系统与神经网络 · 物理学 2007-05-23 Michael Schreiber , Thomas Vojta

We present a method to approximate post-Hartree-Fock correlation energies by using approximate natural orbitals obtained by the random phase approximation (RPA). We demonstrate the method by applying it to the helium atom, the hydrogen and…

化学物理 · 物理学 2021-03-22 Benjamin Ramberger , Zoran Sukurma , Tobias Schäfer , Georg Kresse

The multiconfiguration time-dependent Hartree-Fock (MCTDHF) method is formulated for treating the coupled electronic and nuclear dynamics of diatomic molecules without the Born- Oppenheimer approximation. The method treats the full…

计算物理 · 物理学 2015-05-27 Daniel J. Haxton , Keith V. Lawler , C. William McCurdy

Localized molecular orbitals are often used for the analysis of chemical bonds, but they can also serve to efficiently and comprehensibly compute linear response properties. While conventional canonical molecular orbitals provide an…

化学物理 · 物理学 2023-02-08 Souloke Sen , Bruno Senjean , Lucas Visscher

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

原子物理 · 物理学 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

Localized basis sets in the projector augmented wave formalism allow for computationally efficient calculations within density functional theory (DFT). However, achieving high numerical accuracy requires an extensive basis set, which also…

材料科学 · 物理学 2020-11-18 G. Gandus , A. Valli , D. Passerone , R. Stadler

Complex crystal structures are composed of multiple local environments, and how this type of order emerges spontaneously during crystal growth has yet to be fully understood. We study crystal growth across various structures and along…

软凝聚态物质 · 物理学 2024-06-03 Maya M. Martirossyan , Matthew Spellings , Hillary Pan , Julia Dshemuchadse

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

化学物理 · 物理学 2014-02-11 Dimitri N. Laikov

This works extends the recent study on the dielectric permittivity of crystals within the Hartree model [E. Cances and M. Lewin, Arch. Rational Mech. Anal., 197 (2010) 139--177] to the time-dependent setting. In particular, we prove the…

数学物理 · 物理学 2015-05-30 Eric Cances , Gabriel Stoltz

Multisite local orbitals, which are formed from linear combinations of pseudo-atomic orbitals from a target atom and its neighbor atoms, have been introduced in the large-scale density functional theory calculation code CONQUEST. Multisite…

材料科学 · 物理学 2014-11-11 Ayako Nataka , David R. Bowler , Tsuyoshi Miyazaki

Extending density functional theory (DFT) to an {\it ab initio} orbital functional theory (OFT) requires new methodology for nonlocal exchange and correlation potentials. This paper describes such modifications to a standard Dirac-Slater…

凝聚态物理 · 物理学 2007-05-23 R. K. Nesbet

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

A novel approach to electronic correlations and magnetism of crystals based on realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the ``local density approximation'' (LDA) and the dynamical…

强关联电子 · 物理学 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

The evaluation of exact (Hartree--Fock, HF) exchange operator is a crucial ingredient for the accurate description of electronic structure in periodic systems through ab initio and hybrid density functional approaches. An efficient…

化学物理 · 物理学 2020-10-28 Xiao Wang , Cannada A. Lewis , Edward F. Valeev

The orbital contribution to the magnetic properties of Fe in systems of decreasing dimensionality (bulk, surfaces, wire and free clusters) is investigated using a tight-binding hamiltonian in an $s, p,$ and $d$ atomic orbital basis set…

Hybrid density functional theory (DFT) remains intractable for large periodic systems due to the demanding computational cost of exact exchange. We apply the tensor hypercontraction (THC) (or interpolative separable density fitting)…

计算物理 · 物理学 2023-10-13 Adam Rettig , Joonho Lee , Martin Head-Gordon

Recently, some of the authors introduced the use of the Householder transformation as a simple and intuitive method for the embedding of local molecular fragments (see Sekaran et. al., Phys. Rev. B 104, 035121 (2021), and Sekaran et. al.,…

量子物理 · 物理学 2023-01-10 Saad Yalouz , Sajanthan Sekaran , Emmanuel Fromager , Matthieu Saubanère

The symmetry-projected Hartree--Fock ansatz for the electronic structure problem can efficiently account for static correlation in molecules, yet it is often unable to describe dynamic correlation in a balanced manner. Here, we consider a…

强关联电子 · 物理学 2015-06-17 Carlos A. Jiménez-Hoyos , R. Rodríguez-Guzmán , Gustavo E. Scuseria