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The traditional approach to establishing a local measure of chemical hardness, by defining a local hardness concept through the derivative of the chemical potential with respect to the electron density, has been found to have limited…

Chemical Physics · Physics 2011-10-14 Tamas Gal

The chemical potential of a metal film within the jellium model with taking into account the Coulomb interaction between electrons is calculated. The surface potential is modeled as the infinite rectangular potential well. The behavior of…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 P. P. Kostrobij , B. M. Markovych

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

The asymptotics of the Kohn-Sham (KS) exact exchange potential $V_x(z)$ of a jelliumlike semi-infinite metal is investigated, in the framework of the optimized-effective-potential formalism of density-functional theory. Our numerical…

Strongly Correlated Electrons · Physics 2021-10-20 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

Monolayer \delta-doped structures in silicon have attracted renewed interest with their recent incorporation into atomic-scale device fabrication strategies as source and drain electrodes and in-plane gates. Modeling the physics of…

Materials Science · Physics 2013-05-03 Daniel W. Drumm , Lloyd C. L. Hollenberg , Michelle Y. Simmons , Mark Friesen

Several semilocal exchange potentials usually employed in the framework of density-functional theory (DFT) are tested and compared with their exact counterpart, the exchange Optimized Effective Potential (OEP), as applied to the…

Strongly Correlated Electrons · Physics 2022-03-14 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

The characterization of many-body correlations provides a powerful tool for analyzing correlated quantum materials. However, experimental extraction of quantum entanglement in correlated electronic systems remains an open problem in…

Strongly Correlated Electrons · Physics 2023-04-21 Faluke Aikebaier , Teemu Ojanen , Jose L. Lado

In this paper we study theoretically the process of electron capture between one-optical-electron atoms (e.g. hydrogenlike or alkali atoms) and ions at low-to-medium impact velocities (v/v_e <= 1) working on a modification of an already…

Atomic Physics · Physics 2009-11-06 F. Sattin

The electronic properties of one-dimensional clusters of N atoms or molecules have been studied. The model used is similar to the Kronig-Penney model with the potential offered by each ion being approximated by an attractive delta function.…

Other Condensed Matter · Physics 2015-06-25 S N Behera , S Gayen , G V Ravi Prasad , S M Bose

Essential to various practical applications of lithium-ion batteries is the availability of accurate equivalent circuit models. This paper presents a new coupled electro-thermal model for batteries and studies how to extract it from data.…

Systems and Control · Electrical Eng. & Systems 2024-08-21 Hao Tu , Xinfan Lin , Yebin Wang , Huazhen Fang

The interaction of a bulk electron with conducting surfaces is studied by means of Bohm-Pines transformation in the second quantization formalism. The effective interaction potentials are obtained for the case of one plane and two plane…

Condensed Matter · Physics 2007-05-23 M. Durgut , E. Mete

Materials in which electrons occupy interstitial sites as anions are called electrides and exhibit unusual dimensionality-dependent electronic behavior. These properties make electrides attractive for catalysis, transparent conductors, and…

Materials Science · Physics 2026-01-01 Lee A. Burton

We extend random matrix theory to consider randomly interacting spin systems with spatial locality. We develop several methods by which arbitrary correlators may be systematically evaluated in a limit where the local Hilbert space dimension…

Statistical Mechanics · Physics 2020-01-08 Siddhardh C. Morampudi , Chris R. Laumann

We propose a new generalised Kohn-Sham or constrained hybrid method, where the exchange potential is the (equally weighted) average of the nonlocal Fock exchange term and the self-interaction-corrected exchange potential, as obtained from…

Chemical Physics · Physics 2022-01-05 Thomas C. Pitts , Nektarios N. Lathiotakis , Nikitas I. Gidopoulos

The tight binding model is a minimal electronic structure model for molecular modelling and simulation. We show that the total energy in this model can be decomposed into site energies, that is, into contributions from each atomic site…

Numerical Analysis · Mathematics 2015-06-19 Huajie Chen , Christoph Ortner

Ab initio calculations of the electronic energy loss of ions moving in aluminum crystal are presented, within linear-response theory, from a realistic description of the one-electron band-structure and a full treatment of the dynamical…

Materials Science · Physics 2009-10-31 I. Campillo , J. M. Pitarke , A. G. Eguiluz

We study alchemical atomic energy partitioning as a method to estimate atomisation energies from atomic contributions which are defined in physically rigorous and general ways through use of the uniform electron gas as a joint reference. We…

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

Chemical Physics · Physics 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse

In the search for an accurate and computationally efficient approximation to the exact exchange potential of Kohn-Sham density functional theory, we recently compared various semilocal exchange potentials to the exact one [F. Tran et al.,…

Strongly Correlated Electrons · Physics 2016-10-21 Fabien Tran , Peter Blaha , Markus Betzinger , Stefan Blügel
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