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Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

Strongly Correlated Electrons · Physics 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto

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

A microscopic framework of nuclear energy density functionals is reviewed, which establishes a direct relation between low-energy QCD and nuclear structure, synthesizing effective field theory methods and principles of density functional…

Nuclear Theory · Physics 2008-11-26 Dario Vretenar

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

Chemical Physics · Physics 2018-02-20 Hideaki Takahashi

The density-density correlations of the non-interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and…

Plasma Physics · Physics 2025-09-24 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

Density functional theory is the standard theory for computing the electronic structure of materials, which is based on a functional that maps the electron density to the energy. However, a rigorous form of the functional is not known and…

Materials Science · Physics 2021-12-02 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

Time-dependent (current) density functional theory for many-electron systems strongly coupled to quantized electromagnetic modes of a microcavity is proposed. It is shown that the electron-photon wave function is a unique functional of the…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 I. V. Tokatly

Many-body interactions in effective field theories for disordered interacting electrons are considered. It is shown that three-body and higher interaction terms are generated in perturbation theory, and some of the physical consequences of…

Statistical Mechanics · Physics 2009-11-10 T. R. Kirkpatrick , D. Belitz

Density-functional theory is used to study the electronic structure of quantum dots in a magnetic field. New series of magic numbers are found for the total angular momentum of electrons. The empirical formula for the plateau width is…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 A. A. Vasilchenko

By extrapolating the energies of non-relativistic atoms and their ions with up to 3000 electrons within Kohn-Sham density functional theory, we find that the ionization potential remains finite and increases across a row, even as…

Materials Science · Physics 2015-05-19 Lucian A. Constantin , John C. Snyder , John P. Perdew , Kieron Burke

The various thermodynamic functions dependence on degree of energy band occupation and temperature was studied. The one-band tight binding approximation for the electron energy spectrum was used. The Fermi energy, density of states,…

Statistical Mechanics · Physics 2010-10-11 B. V. Karpenko , A. V. Kuznetzov , V. V. Dyakin

The electron-phonon interaction plays a crucial role in many fields of physics and chemistry. Nevertheless, its actual calculation by means of modern many-body perturbation theory is weakened by the use of model Hamiltonians that are based…

Materials Science · Physics 2015-05-15 Andrea Marini , Samuel Poncé , Xavier Gonze

We investigate the impact of electronic correlations and quantum delocalization onto the static structure factor and static density response function of the strongly coupled electron liquid. In contrast to a classical system, the density…

Chemical Physics · Physics 2024-05-21 Tobias Dornheim , Panagiotis Tolias , Jan Vorberger , Zhandos Moldabekov

Finite temperature density functional theory provides, in principle, an exact description of the thermodynamical equilibrium of many-electron systems. In practical applications, however, the functionals must be approximated. Efficient and…

Statistical Mechanics · Physics 2015-05-19 S. Pittalis , C. R. Proetto , A. Floris , A. Sanna , C. Bersier , K. Burke , E. K. U. Gross

We present a new paradigm for the design of exchange-correlation functionals in density-functional theory. Electron pairs are correlated explicitly by means of the recently developed second order Bethe-Goldstone equation (BGE2) approach.…

Materials Science · Physics 2018-10-19 Igor Ying Zhang , Patrick Rinke , John P. Perdew , Matthias Scheffler

Consider the overdamped limit for a system of interacting particles in the presence of hydrodynamic interactions. For two-body hydrodynamic interactions and one- and two-body potentials, a Smoluchowski-type evolution equation is rigorously…

Mathematical Physics · Physics 2012-08-09 Benjamin D. Goddard , Grigorios A. Pavliotis , Serafim Kalliadasis

An important goal of modern condensed matter physics involves the search for states of matter with new emergent properties and desirable functionalities. Although the tools for material design remain relatively limited, notable advances…

Strongly Correlated Electrons · Physics 2023-06-21 Jacqueline Bloch , Andrea Cavalleri , Victor Galitski , Mohammad Hafezi , Angel Rubio

We explore a new formalism to study the nonlinear electronic density response based on Kohn-Sham density functional theory (KS-DFT) at partially and strongly quantum degenerate regimes. It is demonstrated that the KS-DFT calculations are…

Plasma Physics · Physics 2022-05-10 Zhandos Moldabekov , Jan Vorberger , Tobias Dornheim

Based on the time-dependent density-functional theory, we have derived a rigorous formula for the stopping power of an {\it interacting} electron gas for ions in the limit of low projectile velocities. If dynamical correlation between…

Materials Science · Physics 2009-11-11 V. U. Nazarov , J. M. Pitarke , C. S. Kim , Y. Takada