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Density functional theory underlies the most successful and widely used numerical methods for electronic structure prediction of solids. However, it has the fundamental shortcoming that the universal density functional is unknown. In…

Disordered Systems and Neural Networks · Physics 2020-09-23 M. Michael Denner , Mark H. Fischer , Titus Neupert

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

Condensed Matter · Physics 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

Density functional theory (DFT) has greatly expanded our ability to affordably compute and understand electronic ground states, by replacing intractable {\em ab initio} calculations by models based on paradigmatic physics from high- and…

Chemical Physics · Physics 2023-03-29 Tim Gould , Derk P. Kooi , Paola Gori-Giorgi , Stefano Pittalis

We present a method to constrain local charge multipoles within density-functional theory. Such multipoles quantify the anisotropy of the local charge distribution around atomic sites and can indicate potential hidden orders. Our method…

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

Materials Science · Physics 2013-04-03 Eli Kraisler , Leeor Kronik

Linear response time-dependent density functional theory is used to study low-lying electronic continuum states of targets that can bind an extra electron. Exact formulas to extract scattering amplitudes from the susceptibility are derived…

Other Condensed Matter · Physics 2009-11-11 Adam Wasserman , Neepa T. Maitra , Kieron Burke

We study the spectral density function of a two-dimensional electron liquid in a weak magnetic field, the filling factor $\nu\gg 1$. A hydrodynamic model for low-energy excitations of the liquid is developed. It is found that even at…

Condensed Matter · Physics 2016-08-31 I. L. Aleiner , H. U. Baranger , L. I. Glazman

Density function theory is the workhorse of modern electronic structure theory. However, its accuracy in practical calculations is limited by the choice of the exchange-correlation potential. In this respect, two-dimensional materials pose…

Materials Science · Physics 2026-04-29 Michael Lorke

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review…

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

Charged surfaces in contact with liquids containing ions are accompanied in equilibrium by an electric double layer consisting of a layer of electric charge on the surface that is screened by a diffuse ion cloud in the bulk fluid. This…

Soft Condensed Matter · Physics 2018-09-21 Jeffrey C. Everts , Miha Ravnik

The electroosmotic transfer (ratio of velocity of liquid to electric current density) and conductivity of disperse system were calculated as functions of volume fraction of disperse particles. The considered model of electric double layer…

Soft Condensed Matter · Physics 2007-05-23 V. N. Shilov , N. I. Zharkikh

Rigorous mathematical foundations of density functional theory are revisited, with some use of infinitesimal (nonstandard) methods. A thorough treatment is given of basic properties of internal energy and ground-state energy functionals…

Other Condensed Matter · Physics 2016-06-30 Paul E. Lammert

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

Materials Science · Physics 2022-11-21 Yusuke Nomura , Ryosuke Akashi

We employ density functional theory to study in detail the crystallization of super-paramagnetic particles in two dimensions under the influence of an external magnetic field that lies perpendicular to the confining plane. The field induces…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Hartmut Löwen , Christos N. Likos

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

We present a theory of the hydrodynamic forces in the drainage flow of an electrolyte between a sphere and a plane with charged surfaces. Our theory considers a thin electrolyte film which is at all times in local equilibrium across its…

Soft Condensed Matter · Physics 2025-04-01 C. Cramail , R. Lhermerout , E. Charlaix

Theoretical calculations of the electrical conductivity and electroosmotic transfer as functions of the disperse phase volume fraction and non-dissolving boundary layer thickness were provided on the basis of the cell theory of…

Soft Condensed Matter · Physics 2007-05-23 D. Gulo , O. Alexejev

We present a microscopic model for systems showing resistivity saturation. An essentially exact quantum Monte-Carlo calculation demonstrates that the model describes saturation. We give a simple explanation for saturation, using charge…

Materials Science · Physics 2009-11-07 M. Calandra , O. Gunnarsson
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