The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint

被引：2
|
作者：
Cances, Eric [1 ]
Lewin, Mathieu [2 ]
Stoltz, Gabriel [1 ]
机构：
[1] Univ Paris Est, CERMICS, Project Team Micmac, INRIA Ecole Ponts, 6 & 8 Ave Blaise Pascal, F-77455 Marne La Vallee 2, France
[2] Univ Cergy Pontoise, CNRS & Lab Math Ematiques UMR 8088, F-95300 Cergy Pontois,, France
来源：
NUMERICAL ANALYSIS OF MULTISCALE COMPUTATIONS | 2012年 / 82卷
关键词：
DENSITY-FUNCTIONAL APPROACH; SEMICONDUCTORS; QUANTUM; APPROXIMATION; CONSTANT; MATRICES; SYSTEMS; MODELS;
D O I：
10.1007/978-3-642-21943-6_5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The purpose of this paper is to provide a mathematical analysis of the Adler-Wiser formula relating the macroscopic relative permittivity tensor to the microscopic structure of the crystal at the atomic level. The technical level of the presentation is kept at its minimum to emphasize the mathematical structure of the results. We also briefly review some models describing the electronic structure of finite systems, focusing on density operator based formulations, as well as the Hartree model for perfect crystals or crystals with a defect.
引用
收藏
页码：87 / +
页数：3
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