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This article generalizes the notion of the local density of a many-body system to introduce collective coordinates as explicit degrees of freedom. It is shown that the energy of the system can be expressed as a functional of this object.…

Nuclear Theory · Physics 2014-04-23 Thomas Lesinski

DFT calculations yield useful ground-state energies and densities, while Green's function techniques (such as $GW$) are mostly used to produce spectral functions. From the Galitskii-Migdal formula, we extract the exchange-correlation of DFT…

Chemical Physics · Physics 2024-03-13 Steven Crisostomo , E. K. U. Gross , Kieron Burke

We construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

Strongly Correlated Electrons · Physics 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

As a universal quantum mechanical approach to the dynamical many-body problem, the time-dependent density functional theory (TDDFT) might be inadequate to describe crucial observables that rely on two-body evolution behavior, like the…

Computational Physics · Physics 2025-11-17 Jiong-Hang Liang , Yunfeng Xiong

We propose a new method for calculating total energies of systems of interacting electrons, which requires little more computational resources than standard density-functional theories. The total energy is calculated within the framework of…

Condensed Matter · Physics 2009-10-31 Paula Sanchez-Friera , R. W. Godby

An end-to-end strategy for hybrid quantum-classical computations of Green's functions in many-body systems is presented and applied to the pairing model. The scheme makes explicit use of the spectral representation of the Green's function,…

Nuclear Theory · Physics 2026-05-01 Samuel Aychet-Claisse , Denis Lacroix , Vittorio Somà , Jing Zhang

We introduce a spectral density functional theory which can be used to compute energetics and spectra of real strongly--correlated materials using methods, algorithms and computer programs of the electronic structure theory of solids. The…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Savrasov , G. Kotliar

Exploratory variational pseudopotential density functional calculations are performed for the electronic properties of many-electron systems in the 3D cartesian coordinate grid (CCG). The atom-centered localized gaussian basis set,…

Chemical Physics · Physics 2015-05-18 Amlan K Roy

We apply a variational method devised for the nuclear many--body problem to the 1-dimensional Hubbard--model with nearest neighbor hopping and periodic boundary conditions. The test wave function consist for each state out of a single…

Strongly Correlated Electrons · Physics 2008-11-26 K. W. Schmid , T. Dahm , J. Margueron , H. Müther

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

The accurate simulation of strongly correlated electron systems remains a central challenge in condensed matter physics, motivating the development of various non-perturbative many-body methods. Such methods are typically benchmarked…

Strongly Correlated Electrons · Physics 2025-11-05 Hui Li , Ziyu Li , Chen-run Yu

High throughput screening of materials for technologically relevant areas, like identification of better catalysts, electronic materials, ceramics for high temperature applications and drug discovery, is an emerging topic of research. To…

Chemical Physics · Physics 2020-05-04 Edgar Josué Landinez Borda , Amit Samanta

A self-consistent many-body approach is proposed to build a first-principles crystal field theory, where crystal field parameters are calculated ab initio. Many-body theory is used to write the energy of the interacting system as a function…

Strongly Correlated Electrons · Physics 2010-09-17 Christian Brouder

We discuss a computationally efficient classical many-body potential designed to model the Al-Al interaction in a wide range of bonding geometries. We show that the potential yields results in properties in excellent agreement with…

Materials Science · Physics 2009-10-31 U. Hansen , P. Vogl , V. Fiorentini

We compute the 2-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a "super long-range" potential of the form…

Strongly Correlated Electrons · Physics 2016-08-15 Aníbal Iucci , Carlos Naón

A generating coordinate is introduced into the exchange-correlation functional of density-functional theory (DFT). The many-body wave function is represented as a superposition of Kohn-Sham (KS) Slater determinants arising from different…

Materials Science · Physics 2009-11-07 K. Capelle

We construct an emergent holographic dual description in the Luttinger-Ward functional approach, where the renormalization group (RG) flows of collective bi-local fields appear manifestly in the bulk effective action with an emergent extra…

High Energy Physics - Theory · Physics 2024-09-10 Yoon-Seok Choun , Hyeon Jung Kim , Ki-Seok Kim

We investigate the prospects of combining a standard momentum space approach for ultracold three-body scattering with efficient coordinate space schemes to solve the underlying two-body problem. In many of those schemes the two-body problem…

Quantum Gases · Physics 2021-03-17 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

We propose a new, alternative method for ab-initio calculations of the electronic structure of solids, which has been specifically adapted to treat many-body effects in a more rigorous way than many existing ab-initio methods. We start from…

Condensed Matter · Physics 2007-05-23 I. Schnell , G. Czycholl , R. C. Albers

The rich and diverse dynamics of particle-based systems ultimately originates from the coupling of their degrees of freedom via internal interactions. To arrive at a tractable approximation of such many-body problems, coarse-graining is…

Soft Condensed Matter · Physics 2022-03-31 Matthias Schmidt
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