EXACT TREATMENT OF POISSON EQUATION IN SOLIDS WITH SPACE-FILLING CELLS

被引:26
作者
GONIS, A
SOWA, EC
STERNE, PA
机构
关键词
D O I
10.1103/PhysRevLett.66.2207
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new, rigorous treatment of Poisson's equation in solids with no shape approximation to the potential. In contrast to existing techniques, this method allows the unified treatment of periodic solids, as well as materials containing imperfections such as substitutional or interstitial impurities and disordered alloys. Explicit expressions for the potential and the Coulomb part of the energy are given. The validity and utility of this approach is demonstrated by numerical calculations.
引用
收藏
页码:2207 / 2210
页数:4
相关论文
共 10 条
[1]  
[Anonymous], 1975, CLASSICAL ELECTRODYN
[2]  
Ewald PP, 1921, ANN PHYS-BERLIN, V64, P253
[3]   SIMPLIFICATION OF TOTAL-ENERGY AND PRESSURE CALCULATIONS IN SOLIDS [J].
JANAK, JF .
PHYSICAL REVIEW B, 1974, 9 (10) :3985-3988
[4]  
Lebedev NN., 1965, SPECIAL FUNCTIONS TH, DOI [10.1063/1.3047047, DOI 10.1063/1.3047047]
[5]   INTEGRATION OF POISSONS EQUATION FOR A COMPLEX SYSTEM WITH ARBITRARY GEOMETRY [J].
MORGAN, JVW .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1977, 10 (08) :1181-1202
[6]  
MORUZZI VL, 1978, CALCULATED ELECTRONI
[7]   CALCULATION OF THE MULTIPOLE POTENTIAL FROM AN ARBITRARY LOCALIZED CHARGE-DISTRIBUTION [J].
PAINTER, GS .
PHYSICAL REVIEW B, 1981, 23 (04) :1624-1627
[8]  
Skriver H. L., 1984, LMTO METHOD
[9]   SOLUTION OF POISSON EQUATION - BEYOND EWALD-TYPE METHODS [J].
WEINERT, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1981, 22 (11) :2433-2439
[10]  
1989, MATH 1 2