Solution of Poisson's equation for finite systems using plane-wave methods

被引:39
作者
Castro, A [1 ]
Rubio, A
Stott, MJ
机构
[1] Univ Valladolid, Dept Fis Teor, E-47011 Valladolid, Spain
[2] Univ Basque Country, Fac Quim, Dept Fis Mat, E-20080 San Sebastian, Spain
[3] CSIC UPV EHU, Ctr Mixto, E-20080 San Sebastian, Spain
[4] Donostia Int Phys Ctr, E-20080 San Sebastian, Spain
[5] Queens Univ, Dept Phys, Kingston, ON K7L 3N6, Canada
关键词
D O I
10.1139/P03-078
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Reciprocal-space methods for solving Poisson's equation for finite charge distributions are investigated. Improvements to previous proposals are presented, and their performance is compared in the context of a real-space density-functional-theory code. Two basic methodologies are followed: calculation of correction terms and imposition of a cutoff to the Coulomb potential. We conclude that these methods can be safely applied to finite or aperiodic systems with a reasonable control of speed and accuracy.
引用
收藏
页码:1151 / 1164
页数:14
相关论文
共 43 条
[31]   Tensorial basis spline collocation method for Poisson's equation [J].
Plagne, L ;
Berthou, JY .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 157 (02) :419-440
[32]  
POISSON SD, 1813, B SOC PHILOMATIQUE
[33]  
PRESS WH, 1995, NUMERICAL RECIPES
[34]   DENSITY-FUNCTIONAL THEORY FOR TIME-DEPENDENT SYSTEMS [J].
RUNGE, E ;
GROSS, EKU .
PHYSICAL REVIEW LETTERS, 1984, 52 (12) :997-1000
[35]   Local electrostatic moments and periodic boundary conditions [J].
Schultz, PA .
PHYSICAL REVIEW B, 1999, 60 (03) :1551-1554
[36]   Charged local defects in extended systems [J].
Schultz, PA .
PHYSICAL REVIEW LETTERS, 2000, 84 (09) :1942-1945
[37]  
Seminario J. M, 1996, RECENT DEV APPL MODE
[38]   Achieving linear scaling for the electronic quantum coulomb problem [J].
Strain, MC ;
Scuseria, GE ;
Frisch, MJ .
SCIENCE, 1996, 271 (5245) :51-53
[39]   EFFICIENT PSEUDOPOTENTIALS FOR PLANE-WAVE CALCULATIONS [J].
TROULLIER, N ;
MARTINS, JL .
PHYSICAL REVIEW B, 1991, 43 (03) :1993-2006
[40]  
Wesseling P., 1992, PURE APPL MATH