Analytic second variational derivative of the exchange-correlation functional

被引:8
作者
Egli, D [1 ]
Billeter, SR [1 ]
机构
[1] IBM Corp, Zurich Res Lab, CH-8803 Ruschlikon, Switzerland
关键词
D O I
10.1103/PhysRevB.69.115106
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A general analytic expression for the second variational derivative of gradient-corrected exchange-correlation energy functionals is derived, and the terms for the widely used Becke/Perdew, Becke/Lee-Yang-Parr, and Perdew-Burke-Ernzerhof exchange-correlation functionals are given. These analytic derivatives can be used for all applications employing linear-response theory or time-dependent density-functional theory. Calculations are performed in a plane-wave scheme and shown to be numerically more stable, more accurate, and computationally less costly than the most widely used finite-difference scheme.
引用
收藏
页数:14
相关论文
共 22 条
[1]   DENSITY-FUNCTIONAL EXCHANGE-ENERGY APPROXIMATION WITH CORRECT ASYMPTOTIC-BEHAVIOR [J].
BECKE, AD .
PHYSICAL REVIEW A, 1988, 38 (06) :3098-3100
[2]   THE PHYSICS OF SIMPLE METAL-CLUSTERS - SELF-CONSISTENT JELLIUM MODEL AND SEMICLASSICAL APPROACHES [J].
BRACK, M .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :677-732
[3]  
Casida M. E., 1995, RECENT ADV DENSITY F, V1, P155, DOI [DOI 10.1142/9789812830586_0005, 10.1142/9789812830586_0005]
[4]   DENSITY-FUNCTIONAL THEORY OF THE DIELECTRIC-CONSTANT - GRADIENT-CORRECTED CALCULATION FOR SILICON [J].
DALCORSO, A ;
BARONI, S ;
RESTA, R .
PHYSICAL REVIEW B, 1994, 49 (08) :5323-5328
[5]  
Dreizler R.M., 1990, Density Functional Theory
[6]   ASYMPTOTIC PROPERTIES OF THE EXCHANGE ENERGY DENSITY AND THE EXCHANGE POTENTIAL OF FINITE SYSTEMS - RELEVANCE FOR GENERALIZED GRADIENT APPROXIMATIONS [J].
ENGEL, E ;
CHEVARY, JA ;
MACDONALD, LD ;
VOSKO, SH .
ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, 1992, 23 (01) :7-14
[7]  
GISBERGEN SJA, 1995, J CHEM PHYS, V103, P9347
[8]   ADIABATIC DENSITY-FUNCTIONAL PERTURBATION-THEORY [J].
GONZE, X .
PHYSICAL REVIEW A, 1995, 52 (02) :1096-1114
[9]   Many-electron problem in terms of the density: From Thomas-Fermi to modern density-functional theory [J].
Harbola, MK ;
Banerjee, A .
JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY, 2003, 2 (02) :301-322
[10]   INHOMOGENEOUS ELECTRON-GAS [J].
RAJAGOPAL, AK ;
CALLAWAY, J .
PHYSICAL REVIEW B, 1973, 7 (05) :1912-1919