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Statistical level density $\rho(E,A)$ is derived for nucleonic system with a given energy $E$, particle number $A$ and other integrals of motion in the micro-macroscopic approximation beyond the standard saddle-point method of the Fermi gas…

Nuclear Theory · Physics 2022-03-08 A. G. Magner , A. I. Sanzhur , S. N. Fedotkin , A. I. Levon , S. Shlomo

We propose a local real-space formulation for orbital-free DFT with density dependent kinetic energy functionals and a unified variational framework for computing the configurational forces associated with geometry optimization of both…

Materials Science · Physics 2015-06-15 Sambit Das , Mrinal Iyer , Vikram Gavini

We developed a method for calculating solid-state ground-state properties and fundamental band-gaps using a generalized Kohn-Sham approach combining a local density approximation (LDA) functional with a long-range explicit exchange orbital…

Materials Science · Physics 2019-03-27 Helen R. Eisenberg , Roi Baer

Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding…

Nuclear Theory · Physics 2010-12-02 W. H. Dickhoff , D. Van Neck , S. J. Waldecker , R. J. Charity , L. G. Sobotka

The key questions of uniqueness and existence in time-dependent density functional theory are usually formulated only for potentials and densities that are analytic in time. Simple examples, standard in quantum mechanics, lead however to…

Materials Science · Physics 2015-05-14 Neepa T. Maitra , Tchavdar N. Todorov , Chris Woodward , Kieron Burke

Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

Materials Science · Physics 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…

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…

Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to…

Chemical Physics · Physics 2023-11-23 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

A single-term density functional model for nondynamic and strong correlation is presented, based on single-determinant Kohn-Sham density functional theory. It is derived from modeling the adiabatic connection and contains only two nonlinear…

Chemical Physics · Physics 2015-12-21 Jing Kong , Emil Proynov

We present a substantial extension of our constraint-based approach for development of orbital-free (OF) kinetic-energy (KE) density functionals intended for the calculation of quantum-mechanical forces in multi-scale molecular dynamics…

Materials Science · Physics 2015-05-13 V. V. Karasiev , R. S. Jones , S. B. Trickey , Frank E. Harris

We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an…

Statistical Mechanics · Physics 2009-11-07 A. Minguzzi , N. H. March , M. P. Tosi

Stochastic and mixed stochastic-deterministic density functional theory (DFT) are promising new approaches for the calculation of the equation-of-state and transport properties in materials under extreme conditions. In the intermediate warm…

Computational Physics · Physics 2023-09-27 Vidushi Sharma , Lee A. Collins , Alexander J. White

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

Chemical Physics · Physics 2012-01-12 Emmanuel Fromager

A bivariate perspective on Kohn-Sham density functional theory is proposed, treating potential and density as simultaneous independent variables, and used to make fruitful connection between Lieb's rigorous foundational framework and…

Materials Science · Physics 2020-07-07 Paul E. Lammert

We propose a density functional to find the ground state energy and density of interacting particles, where both the density and the pair density can adjust in the presence of an inhomogeneous potential. As a proof of principle we formulate…

Strongly Correlated Electrons · Physics 2015-06-11 J. Lorenzana , Z. -J. Ying , V. Brosco

We introduce a general, variational scheme applied to Kohn-Sham density functional theory that allows for partitioning of the ground-state density matrix into distinct spectral domains, each of which spanned by an independent diagonal…

Plasma Physics · Physics 2023-08-29 Babak Sadigh , Daniel Aberg , John Pask

Finite-field calculations in periodic insulators are technically and conceptually challenging, due to fundamental problems in defining polarization in extended solids. While significant progress has been made recently with the establishment…

Materials Science · Physics 2011-03-03 Massimiliano Stengel , Nicola A. Spaldin , David Vanderbilt

We present a new theory for partitioning simulations of periodic and solid-state systems into physically sound atomic contributions at the level of Kohn-Sham density functional theory. Our theory is based on spatially localized linear…

Chemical Physics · Physics 2024-10-01 Luna Zamok , Janus J. Eriksen

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

Soft Condensed Matter · Physics 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias
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