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The Hubbard model provides a test bed to investigate the complex behaviour arising from electron-electron interaction in strongly-correlated systems and naturally emerges as the foundation model for lattice density functional theory (DFT).…

强关联电子 · 物理学 2025-01-29 Eoghan Cronin , Rajarshi Tiwari , Stefano Sanvito

We investigate the periodic Anderson model with attractive interactions by means of dynamical mean-field theory (DMFT). Using a continuous-time quantum Monte Carlo impurity solver, we study the competition between the superfluid state and…

量子气体 · 物理学 2010-11-12 Akihisa Koga , Philipp Werner

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…

化学物理 · 物理学 2014-11-07 Nektarios N. Lathiotakis , Nicole Helbig , Angel Rubio , Nikitas I. Gidopoulos

We have implemented the $GW$+dynamical mean field theory (DMFT) approach in the Vienna ab initio simulation package. Employing the interaction values obtained from the locally unscreened random phase approximation (RPA), we compare…

We develop a self-consistent first-principles framework for determining the screened Coulomb interaction strength (U) based on constrained dynamical mean-field theory (cDMFT). Unlike conventional approaches, this method incorporates…

强关联电子 · 物理学 2026-01-21 Antik Sihi , Subhasish Mandal , Kristjan Haule

We discuss the phase diagram of the extended Hubbard model with both attractive and repulsive local and nonlocal interactions. The extended dynamical mean-field theory (EDMFT) and the dual boson method (DB) are compared. The latter contains…

强关联电子 · 物理学 2019-02-15 E. G. C. P. van Loon , M. I. Katsnelson

While the theory of diffusion of a single Brownian particle in confined geometries is well-established by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly…

软凝聚态物质 · 物理学 2014-12-18 H. Löwen , M. Heinen

Incorporating social interactions is essential to an accurate modeling of epidemic spreading. This work proposes a novel local mean-field density functional theory model by using the sum-of-exponential approximation of convolution kernels…

物理与社会 · 物理学 2025-09-09 Ziheng Xu , Shenggao Zhou

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new,…

核理论 · 物理学 2010-11-19 Alexandros Gezerlis , G. F. Bertsch

Theoretical methods that are accurate for both short-distance observables and long-wavelength collective modes are still being developed for the Hubbard model. Here, we benchmark an approach that combines dynamical mean-field theory (DMFT)…

强关联电子 · 物理学 2023-03-09 N. Martin , C. Gauvin-Ndiaye , A. -M. S. Tremblay

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg-Kohn density functional theory. DPFT resolves the usual trouble with the gradient-expanded kinetic energy functional…

量子气体 · 物理学 2021-06-16 Martin-Isbjörn Trappe , Jun Hao Hue , Berthold-Georg Englert

We present a new scheme to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the Quantum Harmonic Oscillator model with the Maximally Localized Wannier Function technique. With respect…

材料科学 · 物理学 2015-06-16 Pier Luigi Silvestrelli

An overarching question in strongly correlated electron systems is how the landscape of quantum phases emerges from electron correlations. The method of extended dynamical mean field theory (EDMFT) has been developed for clean lattice…

强关联电子 · 物理学 2022-10-26 Haoyu Hu , Lei Chen , Qimiao Si

The modern semilocal exchange potential is an accurate and efficient approximation to the exact exchange potential of density functional theory. We tried to combine it with the dynamical mean-field theory to derive a new first-principles…

强关联电子 · 物理学 2016-09-09 Li Huang , Haiyan Lu

By means of Dynamical Mean-Field Theory we investigate the spin response function of a model for correlated materials with d- or f-electrons hybridized with more delocalized ligand orbitals. We point out the existence of two different…

强关联电子 · 物理学 2013-10-14 A. Amaricci , N. Parragh , M. Capone , G. Sangiovanni

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

强关联电子 · 物理学 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

We discuss the recently developed bosonic dynamical mean-field (B-DMFT) framework, which maps a bosonic lattice model onto the selfconsistent solution of a bosonic impurity model with coupling to a reservoir of normal and condensed bosons.…

强关联电子 · 物理学 2015-05-27 Peter Anders , Emanuel Gull , Lode Pollet , Matthias Troyer , Philipp Werner

The Local Molecular Field Theory (LMF) developed by Weeks and co-workers has proved successful for treating the structure and thermodynamics of a variety of non-uniform liquids. By reformulating LMF in terms of one-body direct correlation…

软凝聚态物质 · 物理学 2015-06-12 A. J. Archer , R. Evans

It is shown that a minimum realization of the dynamical mean-field theory (DMFT) can be achieved by mapping a correlated lattice model onto an impurity model in which the impurity is coupled to an uncorrelated bath that consists of a single…

强关联电子 · 物理学 2009-11-07 M. Potthoff

Dynamical Mean-Field Theory (DMFT) is a powerful theoretical framework for analyzing systems with many interacting degrees of freedom. This tutorial provides an accessible introduction to DMFT. We begin with a linear model where the DMFT…

无序系统与神经网络 · 物理学 2025-07-23 Emmy Blumenthal