The strong-interaction limit of density functional theory

Autor:	Friesecke, Gero, Gerolin, Augusto, Gori-Giorgi, Paola
Rok vydání:	2022
Předmět:	Physics - Chemical Physics Condensed Matter - Strongly Correlated Electrons Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	This is a comprehensive review of the strong-interaction limit of density functional theory. It covers the derivation of the limiting strictly correlated electrons (SCE) functional from exact Hohenberg-Kohn DFT, basic aspects of SCE physics such as the nonlocal dependence of the SCE potential on the density, equivalent formulations and the mathematical interpretation as optimal transport with Coulomb cost, rigorous results (including exactly soluble cases), approximations, numerical methods, integration into Kohn-Sham DFT (KS SCE), and applications to molecular systems, an example being that KS SCE, unlike the local density approximation or generalized gradient approximations, dissociates H$_2$ correctly. We have made an effort to make this review accessible to a broad audience of physicists, chemists, and mathematicians. Comment: Chapter in the book `Density Functional Theory' edited by Eric Canc\`{e}s and Gero Friesecke, submitted to Springer
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.09760 Zobrazit plný text záznamu View this record from Arxiv