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We use, for the first time, ab initio coupled-cluster theory to compute the spectral function of the uniform electron gas at a Wigner-Seitz radius of $r_\mathrm{s}=4$. The coupled-cluster approximations we employ go significantly beyond the…

A method of resummation of infinite series of perturbation theory diagrams is applied for studying the properties of random band matrices. The topological classification of Feynman diagrams, which was actively used in last years for matrix…

统计力学 · 物理学 2016-08-31 P. G. Silvestrov

We provide the formal extension of Hedin's GW equations for single-particle Green's functions with electron-electron interaction onto the Keldysh time-loop contour. We show an application of our formalism to the plasmon model of a core…

其他凝聚态物理 · 物理学 2011-11-23 H. Ness , L. K. Dash , M. Stankovski , R. W. Godby

We propose a density functional to find the ground state energy and density of interacting particles, where both the density and the pair density can adjust in the presence of an inhomogeneous potential. As a proof of principle we formulate…

强关联电子 · 物理学 2015-06-11 J. Lorenzana , Z. -J. Ying , V. Brosco

The basis-set correction method based on density-functional theory consists in correcting the energy calculated by a wave-function method with a given basis set by a density functional. This basis-set correction density functional…

化学物理 · 物理学 2023-07-05 Diata Traore , Emmanuel Giner , Julien Toulouse

This article is part-I of a review of density-functional theory (DFT) that is the most widely used method for calculating electronic structure of materials. The accuracy and ease of numerical implementation of DFT methods has resulted in…

材料科学 · 物理学 2023-05-25 Prashant Singh , Manoj K Harbola

A one-dimensional quantum wire of Fermions is considered and ground state properties are calculated in the high density regime within the extended quasiparticle picture and Born approximation. Expanding the two-particle Green functions…

强关联电子 · 物理学 2025-02-18 Klaus Morawetz , Vinod Ashokan , Kare Narain Pathak , Neil Drummond , Gianaurelio Cuniberti

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

化学物理 · 物理学 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

We present a new density-matrix functional within the recently introduced framework for tensor-product expansions of the two-particle density matrix. It performs well both for the homogeneous electron gas as well as atoms. For the…

材料科学 · 物理学 2009-11-07 Gábor Csányi , Stefan Goedecker , T. A. Arias

We implement the numerical method of summing Green function diagrams on the Matsubara frequency axis for the fluctuation exchange (FLEX) approximation. Our method has previously been applied to the attractive Hubbard model for low density.…

凝聚态物理 · 物理学 2016-08-15 J. J. Rodríguez-Núñez , S. Schafroth

Density functional theory underlies the most successful and widely used numerical methods for electronic structure prediction of solids. However, it has the fundamental shortcoming that the universal density functional is unknown. In…

无序系统与神经网络 · 物理学 2020-09-23 M. Michael Denner , Mark H. Fischer , Titus Neupert

Asymptotic expansions of Gaussian integrals may often be interpreted as generating functions for certain combinatorial objects (graphs with additional data). In this article we discuss a general approach to all such cases using colored…

组合数学 · 数学 2010-05-18 I. V. Artamkin

We generate the perturbative expansion of the single-particle Green's function and related self-energy for a half-filled single-band Hubbard model on a square lattice. We invoke algorithmic Matsubara integration to evaluate single-particle…

强关联电子 · 物理学 2021-09-15 Bradley D. E. McNiven , G. Todd Andrews , James P. F. LeBlanc

By using the quantum Ising chain as a test bed and treating the spin polarization along the external transverse field as the "generalized density", we examine the performance of different levels of density functional approximations parallel…

计算物理 · 物理学 2021-10-27 Jiahao Mao , Haifeng Tang , Wenhui Duan , Zheng Liu

Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear…

凝聚态物理 · 物理学 2008-12-18 R. Nifosi' , S. Conti , M. P. Tosi

The dynamical, long-wavelength longitudinal and transverse exchange-correlation potentials for a homogeneous electron gas are evaluated in a microscopic model based on an approximate decoupling of the equation of motion for the…

凝聚态物理 · 物理学 2009-10-30 S. Conti , R. Nifosi' , M P Tosi

A thorough understanding of the electronic structure is a necessary first step for the design of nanoelectronics, chemical/bio-sensors, electrocatalysts, and nanoplasmonics using graphene. As such, theoretical spectroscopic techniques to…

材料科学 · 物理学 2011-05-03 D. J. Mowbray , P. Ayala , V. Despoja , T. Pichler , A. Rubio

We formulate the Kohn-Sham density functional theory (KS-DFT) as a statistical theory in which the electron density is deter-mined from an average of correlated stochastic densities in a trace formula. The key idea is that it is sufficient…

材料科学 · 物理学 2015-06-15 Roi Baer , Daniel Neuhauser , Eran Rabani

Graph Neural Networks have become the preferred tool to process graph data, with their efficacy being boosted through graph data augmentation techniques. Despite the evolution of augmentation methods, issues like graph property distortions…

机器学习 · 计算机科学 2025-01-30 Yutong Xia , Runpeng Yu , Yuxuan Liang , Xavier Bresson , Xinchao Wang , Roger Zimmermann

With the aim of identifying universal trends, we compare fully self-consistent electronic spectra and total energies obtained from the GW approximation with those from an extended GWGamma scheme that includes a nontrivial vertex function…

材料科学 · 物理学 2007-05-23 Arno Schindlmayr , Thomas J. Pollehn , R. W. Godby