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The dimerized one-dimensional Hubbard model is studied in the framework of lattice density-functional theory (LDFT). The single-particle density matrix gamma_{ij} with respect to the lattice sites is considered as basic variable. The…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

The real-time dynamics of local magnetic moments exchange coupled to a metallic system of conduction electrons is subject to dissipative friction even in the absence of spin-orbit coupling. Phenomenologically, this is usually described by a…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Nicolas Lenzing , David Krüger , Michael Potthoff

Many-body theories such as dynamical mean field theory (DMFT) have enabled the description of the electron exchange-correlation interactions that are missing in current density functional theory (DFT) calculations. However, there has been…

Strongly Correlated Electrons · Physics 2021-01-19 A. D. N. James , E. I. Harris-Lee , A. Hampel , M. Aichhorn , S. B. Dugdale

For more than three decades, nearly free electron elemental metals have been a topic of debate because the computed bandwidths are significantly wider in the local density approximation to density-functional theory (DFT) than indicated by…

Strongly Correlated Electrons · Physics 2022-08-02 Subhasish Mandal , Kristjan Haule , Karin M. Rabe , David Vanderbilt

The adiabatic connection of density functional theory (DFT) for electronic systems is generalized here to negative values of the coupling strength $\alpha$ (with {\em attractive} electrons). In the extreme limit $\alpha\to-\infty$ a simple…

Other Condensed Matter · Physics 2015-05-14 Michael Seidl , Paola Gori-Giorgi

We study a fully connected Hopfield-type associative memory network with online activity-dependent synaptic plasticity, where neural states and synaptic couplings coevolve during retrieval. Using the generating-functional formalism, we…

Disordered Systems and Neural Networks · Physics 2026-05-22 Yoshinori Hara , Yoshiyuki Kabashima

In principle, the electronic Coulomb interaction among the correlated orbitals is frequency-dependent. Though it is generally believed that the dynamically screened interaction may play a crucial role in understanding the subtle electronic…

Strongly Correlated Electrons · Physics 2013-03-13 Li Huang , Yilin Wang

We present an approach which is based on the one-particle irreducible (1PI) generating functional formalism and includes electronic correlations on all length-scales beyond the local correlations of dynamical mean field theory (DMFT). This…

Strongly Correlated Electrons · Physics 2013-09-17 G. Rohringer , A. Toschi , H. Hafermann , K. Held , V. I. Anisimov , A. A. Katanin

Two of the most popular quantum mechanical models of interacting fermions are compared to each other and to potentially exact solutions for a pair of contact-interacting fermions trapped in a 1D double-well potential, a model of atoms in a…

Other Condensed Matter · Physics 2009-04-06 R. J. Magyar

In this paper, we investigate the impact of nonlocal correlations on charge fluctuations in the two-dimensional single-band Hubbard model close to the Mott metal-to-insulator transition, employing the ladder dynamical vertex approximation.…

Strongly Correlated Electrons · Physics 2025-10-21 Irakli Titvinidze , Julian Stobbe , Marvin Leusch , Georg Rohringer

New insights into the microscopic origin of itinerant ferromagnetism were recently gained from investigations of electronic lattice models within dynamical mean-field theory (DMFT). In particular, it is now established that even in the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Vollhardt , N. Blümer , K. Held , M. Kollar

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

Superconductivity · Physics 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

We present a scalable machine learning (ML) model to predict local electronic properties such as on-site electron number and double occupation for disordered correlated electron systems. Our approach is based on the locality principle, or…

Strongly Correlated Electrons · Physics 2022-08-31 Yi-Hsuan Liu , Sheng Zhang , Puhan Zhang , Ting-Kuo Lee , Gia-Wei Chern

A combination of Density Functional Theory and the Dynamical Mean Field theory (DMFT) is used to calculate the magnetic susceptibility, heat capacity, and the temperature dependence of the valence band photoemission spectra. The…

Strongly Correlated Electrons · Physics 2008-05-13 C. A. Marianetti , K. Haule , G. Kotliar , M. J. Fluss

We study the one-band Hubbard model on the honeycomb lattice using a combination of quantum Monte Carlo (QMC) simulations and static as well as dynamical mean-field theory (DMFT). This model is known to show a quantum phase transition…

Strongly Correlated Electrons · Physics 2020-03-09 Marcin Raczkowski , Robert Peters , Th\d{i} Thu Phùng , Nayuta Takemori , Fakher F. Assaad , Andreas Honecker , Javad Vahedi

Accurately treating strong electron correlation in quantum chemistry typically requires multireference wave-function methods with steep computational scaling. The recently proposed i-DMFT method promises near configuration-interaction…

Chemical Physics · Physics 2026-04-23 Paul G. Graf , Florian Matz , Lexin Ding , Julia Liebert , Markus Penz , Christian Schilling

We propose a novel scheme to bring reduced density matrix functional theory (RDMFT) into the realm of density functional theory (DFT) that preserves the accurate density functional description at equilibrium, while incorporating accurately…

Chemical Physics · Physics 2014-11-07 Nektarios N. Lathiotakis , Nicole Helbig , Angel Rubio , Nikitas I. Gidopoulos

Density-potential functional theory (DPFT) is an alternative formulation of orbital-free density functional theory that may be suitable for modeling the electronic structure of large systems. To date, DPFT has been applied mainly to quantum…

Materials Science · Physics 2023-04-21 Martin-Isbjörn Trappe , William C. Witt , Sergei Manzhos

Recent advances in many-body physics have made it possible to study correlated electron systems at the two-particle level. In Dynamical Mean-Field theory, it has been shown that the metal-insulator phase diagram is closely related to the…

Strongly Correlated Electrons · Physics 2022-06-09 Erik G. C. P. van Loon

We present a novel scheme for an unbiased and non-perturbative treatment of strongly correlated fermions. The proposed approach combines two of the most successful many-body methods, i.e., the dynamical mean field theory (DMFT) and the…

Strongly Correlated Electrons · Physics 2014-05-27 C. Taranto , S. Andergassen , J. Bauer , K. Held , A. Katanin , W. Metzner , G. Rohringer , A. Toschi