The ground state correlation energy of the random phase approximation from a ring coupled cluster doubles approach

被引:254
作者
Scuseria, Gustavo E. [1 ]
Henderson, Thomas M. [1 ]
Sorensen, Danny C. [2 ]
机构
[1] Rice Univ, Dept Chem, Houston, TX 77005 USA
[2] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA
基金
美国国家科学基金会;
关键词
coupled cluster calculations; ground states; RPA calculations;
D O I
10.1063/1.3043729
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present an analytic proof demonstrating the equivalence between the random phase approximation (RPA) to the ground state correlation energy and a ring-diagram simplification of the coupled cluster doubles (CCD) equations. In the CCD framework, the RPA equations can be solved in O(N-4) computational effort, where N is proportional to the number of basis functions.
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页数:4
相关论文
共 25 条
[1]   van der Waals forces in density functional theory:: Perturbational long-range electron-interaction corrections -: art. no. 012510 [J].
Angyán, JG ;
Gerber, IC ;
Savin, A ;
Toulouse, J .
PHYSICAL REVIEW A, 2005, 72 (01)
[2]  
Casida M E, 1998, RECENT ADV DENSITY 1, P155
[3]   Molecular excitation energies to high-lying bound states from time-dependent density-functional response theory: Characterization and correction of the time-dependent local density approximation ionization threshold [J].
Casida, ME ;
Jamorski, C ;
Casida, KC ;
Salahub, DR .
JOURNAL OF CHEMICAL PHYSICS, 1998, 108 (11) :4439-4449
[4]   Asymptotics of the dispersion interaction: Analytic benchmarks for van der Waals energy functionals [J].
Dobson, JF ;
White, A ;
Rubio, A .
PHYSICAL REVIEW LETTERS, 2006, 96 (07)
[5]   COUPLED-CLUSTER EXPANSION APPLIED TO ELECTRON-GAS - INCLUSION OF RING AND EXCHANGE EFFECTS [J].
FREEMAN, DL .
PHYSICAL REVIEW B, 1977, 15 (12) :5512-5521
[6]   Describing static correlation in bond dissociation by Kohn-Sham density functional theory [J].
Fuchs, M ;
Niquet, YM ;
Gonze, X ;
Burke, K .
JOURNAL OF CHEMICAL PHYSICS, 2005, 122 (09)
[7]   Accurate density functionals: Approaches using the adiabatic-connection fluctuation-dissipation theorem [J].
Fuchs, M ;
Gonze, X .
PHYSICAL REVIEW B, 2002, 65 (23) :1-4
[8]   Fluctuation-dissipation theorem density-functional theory [J].
Furche, F ;
Van Voorhis, T .
JOURNAL OF CHEMICAL PHYSICS, 2005, 122 (16)
[9]   Developing the random phase approximation into a practical post-Kohn-Sham correlation model [J].
Furche, Filipp .
JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (11)
[10]   Cohesive energy curves for noble gas solids calculated by adiabatic connection fluctuation-dissipation theory [J].
Harl, Judith ;
Kresse, Georg .
PHYSICAL REVIEW B, 2008, 77 (04)