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Energy functionals of the Green's function can simultaneously provide spectral and thermodynamic properties of interacting electrons' systems. Though powerful in principle, these formulations need to deal with dynamical…

Materials Science · Physics 2024-05-28 Tommaso Chiarotti , Andrea Ferretti , Nicola Marzari

The dynamical exchange-correlation kernel $f_{xc}$ of a non-uniform electron gas is an essential input for the time-dependent density functional theory of electronic systems. The long-wavelength behavior of this kernel is known to be of the…

Materials Science · Physics 2009-11-13 V. U. Nazarov , G. Vignale , Y. -C. Chang

We compare the predictions of the dynamic structure factor (DSF) of ambient polycrystalline aluminium from time-dependent density functional theory (TDDFT) in the pair continuum regime to recent ultrahigh resolution x-ray Thomson scattering…

We present a review of the basic ideas and techniques of the spectral density functional theory which are currently used in electronic structure calculations of strongly-correlated materials where the one-electron description breaks down.…

Strongly Correlated Electrons · Physics 2009-11-11 G. Kotliar , S. Y. Savrasov , K. Haule , V. S. Oudovenko , O. Parcollet , C. A. Marianetti

On the textbook example of an isolated antiferromagnetic Heisenberg dimer, we demonstrate that the magnetic form factor and the magnetic electron density distribution can be extracted from the momentum-dependence of the inelastic neutron…

In this paper, new representations of the Green's function for an acoustic d-dimensional half-space problem with impedance boundary conditions are presented. The main features of the new representation are: a) in addition to additive terms…

Numerical Analysis · Mathematics 2025-07-24 C. Lin , J. M. Melenk , S. Sauter

Static correlation is a difficult problem for density-functional theory (DFT) as it arises in cases of degenerate or quasi-degenerate states where a multideterminantal wave function provides the simplest reasonable first approximation to…

Chemical Physics · Physics 2024-01-01 Abraham Ponra , Carolyne Bakasa , Anne Justine Etindele , Mark E. Casida

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in…

Statistical Mechanics · Physics 2011-06-01 Jie Ren

We propose a simple and accurate model for the electron static structure factors (and corresponding pair-correlation functions) of the 3D unpolarized homogeneous electron gas. Our spin-resolved pair-correlation function is built up with a…

Condensed Matter · Physics 2009-10-31 Paola Gori-Giorgi , Francesco Sacchetti , Giovanni B. Bachelet

Dynamical screening of the Coulomb interactions in correlated electron systems results in a low-energy effective problem with a dynamical Hubbard interaction U(omega). We propose a Green's function ansatz for the Anderson impurity problem…

Strongly Correlated Electrons · Physics 2014-12-16 Michele Casula , Alexey Rubtsov , Silke Biermann

Green technologies rely on green solvents and fluids. Among them, supercritical CO2 already finds many important applications. The molecular level understanding of the dynamics and structure of this supercritical fluid is a prerequisite to…

Chemical Physics · Physics 2019-10-17 Wenhui Mi , Pablo Ramos , Jack Maranhao , Michele Pavanello

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

Strongly Correlated Electrons · Physics 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

X-ray Thomson scattering (XRTS) has emerged as a widely used diagnostics for extreme states of matter in a great variety of situations, and over a broad range of parameters. The standard approach for the interpretation of XRTS measurements…

Plasma Physics · Physics 2026-04-29 Thomas Gawne , Jan Vorberger , Zhandos Moldabekov , Hannah Bellenbaum , Tobias Dornheim

The main problem in theoretical analysis of structures with strong confinement is the fact that standard mathematical tools: differential equations and Fourier's transformations are no longer applicable. In this paper we have demonstrated…

Materials Science · Physics 2016-08-14 Jovan P. Šetrajčić

We perform nonadiabatic simulations of warm dense aluminum based on the electron-force field (EFF) variant of wave-packet molecular dynamics. Comparison of the static ion-ion structure factor with density functional theory (DFT) is used to…

Plasma Physics · Physics 2020-12-08 Ryan A. Davis , W. A. Angermeier , R. Hermsmeier , Thomas G. White

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.…

Chemical Physics · Physics 2023-11-17 P. del Mazo-Sevillano , J. Hermann

In this study, we present a general workflow that enables the automatic generation of auxiliary density basis sets for all elements of the periodic table (from H to Og) to facilitate the general applicability of relativistic Dirac-Kohn-Sham…

Chemical Physics · Physics 2025-06-19 Nicolo' Antonini , Enrico Ronca , Loriano Storchi , Leonardo Belpassi

Recent development of the resonance scattering theory with a transient from the regular to chaotic internal dynamics inspires renewed interest to the problem of the elastic enhancement phenomenon. We reexamine the question what the…

Quantum Physics · Physics 2013-01-16 Yaroslav A. Kharkov , Valentin V. Sokolov

The Q-factor for lossless three-dimensional structures with two-dimensional periodicity is here derived in terms of the electric current density. The derivation in itself is shape-independent and based on the periodic free-space Green's…

Classical Physics · Physics 2020-12-02 Andrei Ludvig-Osipov , B. L. G. Jonsson

We present an ab initio method for eletcronic structure calculations, which accounts for the interaction of electrons and magnons in ferromagnets. While it is based on a many body perturbation theory we approximate numerically complex…

Materials Science · Physics 2023-04-19 S. Paischer , G. Vignale , M. I. Katsnelson , A. Ernst , P. Buczek
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