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It has long been postulated that within density-functional theory (DFT) the total energy of a finite electronic system is convex with respect to electron count, so that 2 E_v[N_0] <= E_v[N_0 - 1] + E_v[N_0 + 1]. Using the…

Chemical Physics · Physics 2023-12-25 Andrew C. Burgess , Edward Linscott , David D. O'Regan

We study the electron-energy loss spectra of strongly correlated electronic systems doped away from half-filling using dynamical mean-field theory ($d=\infty$). The formalism can be used to study the loss spectra in the optical (${\bf…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco , Mukul S. Laad

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

Materials Science · Physics 2024-01-30 Zi-Kui Liu

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

The motion of an electron in an image field and a blocking electric field is considered in semiclassical approximation. An exact analytical expression is found for the density of the energy spectrum of states. The dependence of spectral…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 P. A. Golovinski , M. A. Preobrazhenskii , I. S. Surovtzev

Charge reversal of the planar electrical double layer is studied by means of a well known integral equations theory. By a numerical analysis, a diagram is constructed with the onset points of charge reversal in the space of the fundamental…

Soft Condensed Matter · Physics 2008-11-19 Felipe Jimenez-Angeles , Marcelo Lozada-Cassou

We theoretically investigate an electric-field-driven system of charged spheres as a primitive model of concentrated electrolytes under an applied electric field. First, we provide a unified formulation for the stochastic charge and density…

Soft Condensed Matter · Physics 2025-01-15 Hiroshi Frusawa

The kinematics laws of electrons motion in the volume of a planar vacuum diode running in regime of current saturation are used. The characteristics of diode hysteresis in the conditions of S-figurative instability are got and analyzed.

General Physics · Physics 2015-03-24 Dimitar G. Stoyanov

In this paper, we apply the effective potentials in the localization landscape theory (Filoche et al., 2012, Arnold et al., 2016) to study the spectral properties of the incommensurate systems. We uniquely develop a plane wave method for…

Mathematical Physics · Physics 2023-07-12 Ting Wang , Yuzhi Zhou , Aihui Zhou

While electrowetting has many applications, it is limited at large voltages by contact angle saturation - a phenomenon that is still not well understood. We propose a generalized approach for electrowetting that, among other results, can…

Soft Condensed Matter · Physics 2015-03-18 Dan Klarman , David Andelman , Michael Urbakh

Time-dependent density functional theory has emerged as a method of choice for calculations of spectra and response properties in physics, chemistry, and biology, with its system-size scaling enabling computations on systems much larger…

Chemical Physics · Physics 2021-07-13 Neepa T. Maitra

The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator…

Strongly Correlated Electrons · Physics 2009-11-07 J. Polonyi , K. Sailer

Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

Atomic and Molecular Clusters · Physics 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or…

Nuclear Theory · Physics 2020-06-19 N. Schunck , J. O'Neal , M. Grosskopf , E. Lawrence , S. M. Wild

The saturation of symmetric nuclear matter -- reflected in the nearly constant interior density of heavy nuclei -- is a defining property of nuclear matter. Modern relativistic energy density functionals (EDFs) calibrated exclusively to the…

Nuclear Theory · Physics 2025-12-30 Md Jafrul Islam , Athul Kunjipurayil , J. Piekarewicz , A. Volya

An electric-field-induced phase transition and pattern formation in a binary dielectric fluid layer are studied using a coarse-grained free energy functional. The electrostatic part of the free energy is a nonlinear functional of the…

Soft Condensed Matter · Physics 2007-05-23 M. D. Johnson , X. Duan , Brett Riley , Aniket Bhattacharya , Weili Luo

Semilocal density functional theory is the most used computational method for electronic structure calculations in theoretical solid-state physics and quantum chemistry of large systems, providing good accuracy with a very attractive…

Other Condensed Matter · Physics 2016-03-31 L. A. Constantin , E. Fabiano , J. M. Pitarke , F. Della Sala

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

As an integrative and insightful example for undergraduates learning about electrostatics, we discuss how to use symmetry, Coulomb's Law, superposition, Gauss's law, and visualization to understand the electric field produced by a…

Physics Education · Physics 2016-07-27 Kaitlin McCreery , Henry Greenside