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In this work we propose an artificial neural network functional to the ground-state energy of fermionic interacting particles in homogeneous chains described by the Hubbard model. Our neural network functional was proven to has an excellent…

计算物理 · 物理学 2019-02-18 C. A. Custodio , E. R. Filletti , V. V. França

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

The accuracy of density-functional theory (DFT) is determined by the quality of the approximate functionals, such as exchange-correlation in electronic DFT and the excess functional in the classical DFT formalism of fluids. The exact…

Predicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provides a first-principles route to connect microscopic…

计算物理 · 物理学 2026-01-01 Edoardo Monti , Peter Yatsyshin , Konstantinos Gkagkas , Andrew B. Duncan

High-order extensions of the Hopfield model are known to exhibit dramatically enhanced storage capacity at equilibrium, while their dynamical retrieval properties remain less well understood. In our previous work, we carried out a dynamical…

统计力学 · 物理学 2026-04-06 Yuto Sumikawa , Yoshiyuki Kabashima

We introduce the unification of dynamical mean field theory (DMFT) and linear-scaling density functional theory (DFT), as recently implemented in ONETEP, a linear-scaling DFT package, and TOSCAM, a DMFT toolbox. This code can account for…

强关联电子 · 物理学 2020-05-04 Edward B. Linscott , Daniel J. Cole , Nicholas D. M. Hine , Michael C. Payne , Cédric Weber

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

Although density functional theory (DFT) in principle includes even long-range interactions, standard implementations employ local or semi-local approximations of the interaction energy and fail at describing the van der Waals interactions.…

软凝聚态物质 · 物理学 2007-05-23 S. D. Chakarova , E. Schroder

Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of $N$ interacting degrees of freedom in terms of a self-consistent $1$-body problem. In this work, focusing on models of ecosystems, we present the…

无序系统与神经网络 · 物理学 2020-01-08 Felix Roy , Giulio Biroli , Guy Bunin , Chiara Cammarota

Motivated by the puzzling report of the observation of a ferromagnetic insulating state in LaMnO$_3$/SrTiO$_3$ heterostructures, we calculate the electronic and magnetic state of LaMnO$_3$, coherently matched to a SrTiO$_3$ square substrate…

材料科学 · 物理学 2019-09-25 Hrishit Banerjee , Oleg Janson , Karsten Held , Tanusri Saha-Dasgupta

For translationally invariant one-band lattice models, we exploit the ab initio knowledge of the natural orbitals to simplify reduced density matrix functional theory (RDMFT). Striking underlying features are discovered: First, within each…

量子物理 · 物理学 2019-01-08 Christian Schilling , Rolf Schilling

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

化学物理 · 物理学 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

By means of cellular dynamical mean-field theory (CDMFT) we study how short-range correlations drive the breakdown of the self-consistent perturbation theory in two-dimensional systems and the most relevant physical consequences associated…

强关联电子 · 物理学 2025-12-22 Michael Meixner , Matthias Reitner , Thomas Schäfer , Alessandro Toschi

We give a summary of recent progress in the field of electronic structure calculations for materials with strong electronic Coulomb correlations. The discussion focuses on developments beyond the by now well established combination of…

强关联电子 · 物理学 2014-12-30 Silke Biermann

As a first step to meet the challenge to calculate the electronic structure and total energy of charged states of atoms and molecules adsorbed on ultrathin-insulating films supported by a metallic substrate using density functional theory…

材料科学 · 物理学 2013-11-01 Iván Scivetti , Mats Persson

The convergence to the self-consistency in the dynamical-mean-field-theory (DMFT) calculations for models of correlated electron systems can be significantly accelerated by using an appropriate mixing of hybridization functions which are…

强关联电子 · 物理学 2009-11-11 Rok Zitko

The study of nonequilibrium phenomena in correlated lattice systems has developed into an active and exciting branch of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of…

强关联电子 · 物理学 2014-07-11 Hideo Aoki , Naoto Tsuji , Martin Eckstein , Marcus Kollar , Takashi Oka , Philipp Werner

The solution of the mean spherical approximation (MSA) integral equation for isotropic multicomponent dipolar hard sphere fluids without external fields is used to construct a density functional theory (DFT), which includes external fields,…

统计力学 · 物理学 2015-05-28 I. Szalai , S. Dietrich

We solve the nonequilibrium dynamical mean-field theory (DMFT) using matrix product states (MPS). This allows us to treat much larger bath sizes and by that reach substantially longer times (factor $\sim$ 2 -- 3) than with exact…

强关联电子 · 物理学 2014-12-22 F. Alexander Wolf , Ian P. McCulloch , Ulrich Schollwöck

We present dynamical mean field theory (DMFT) results for the local spectral densities of the one- and two-particle response functions for the infinite dimensional Hubbard model in a magnetic field. We look at the different regimes…

强关联电子 · 物理学 2009-11-13 J. Bauer , A. C. Hewson