Coupled cluster Green function: Model involving single and double excitations
Abstract
In this paper, we report on the development of a parallel implementation of the coupled-cluster (CC) Green function formulation (GFCC) employing single and double excitations in the cluster operator (GFCCSD). A key aspect of this work is the determination of the frequency dependent self-energy, Σ(ω). The detailed description of the underlying algorithm is provided, including approximations used that preserve the pole structure of the full GFCCSD method, thereby reducing the computational costs while maintaining an accurate character of methodology. Furthermore, for systems with strong local correlation, our formulation reveals a diagonally dominate block structure where as the non-local correlation increases, the block size increases proportionally. Here, to demonstrate the accuracy of our approach, several examples including calculations of ionization potentials for benchmark systems are presented and compared against experiment.
- Authors:
-
- Louisiana State Univ., Baton Rouge, LA (United States)
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Publication Date:
- Research Org.:
- Pacific Northwest National Laboratory (PNNL), Richland, WA (United States). Environmental Molecular Sciences Laboratory (EMSL)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1337212
- Alternate Identifier(s):
- OSTI ID: 1246530
- Report Number(s):
- PNNL-SA-114925
Journal ID: ISSN 0021-9606; 48604; KP1704020
- Grant/Contract Number:
- AC05-76RL01830; SC0012432
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 144; Journal Issue: 14; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Coupled cluster Green function; excitations; computation; algorithm; Environmental Molecular Sciences Laboratory
Citation Formats
Bhaskaran-Nair, Kiran, Kowalski, Karol, and Shelton, William A. Coupled cluster Green function: Model involving single and double excitations. United States: N. p., 2016.
Web. doi:10.1063/1.4944960.
Bhaskaran-Nair, Kiran, Kowalski, Karol, & Shelton, William A. Coupled cluster Green function: Model involving single and double excitations. United States. https://doi.org/10.1063/1.4944960
Bhaskaran-Nair, Kiran, Kowalski, Karol, and Shelton, William A. Fri .
"Coupled cluster Green function: Model involving single and double excitations". United States. https://doi.org/10.1063/1.4944960. https://www.osti.gov/servlets/purl/1337212.
@article{osti_1337212,
title = {Coupled cluster Green function: Model involving single and double excitations},
author = {Bhaskaran-Nair, Kiran and Kowalski, Karol and Shelton, William A.},
abstractNote = {In this paper, we report on the development of a parallel implementation of the coupled-cluster (CC) Green function formulation (GFCC) employing single and double excitations in the cluster operator (GFCCSD). A key aspect of this work is the determination of the frequency dependent self-energy, Σ(ω). The detailed description of the underlying algorithm is provided, including approximations used that preserve the pole structure of the full GFCCSD method, thereby reducing the computational costs while maintaining an accurate character of methodology. Furthermore, for systems with strong local correlation, our formulation reveals a diagonally dominate block structure where as the non-local correlation increases, the block size increases proportionally. Here, to demonstrate the accuracy of our approach, several examples including calculations of ionization potentials for benchmark systems are presented and compared against experiment.},
doi = {10.1063/1.4944960},
journal = {Journal of Chemical Physics},
number = 14,
volume = 144,
place = {United States},
year = {Fri Apr 08 00:00:00 EDT 2016},
month = {Fri Apr 08 00:00:00 EDT 2016}
}
Web of Science
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One-particle many-body Green’s function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms
journal, July 2017
- Hirata, So; Doran, Alexander E.; Knowles, Peter J.
- The Journal of Chemical Physics, Vol. 147, Issue 4
Comparison of Green’s functions for transition metal atoms using self-energy functional theory and coupled-cluster singles and doubles (CCSD)
journal, June 2018
- Kosugi, Taichi; Nishi, Hirofumi; Furukawa, Yoritaka
- The Journal of Chemical Physics, Vol. 148, Issue 22
Quasiparticle energy spectra of isolated atoms from coupled-cluster singles and doubles (CCSD): Comparison with exact CI calculations
journal, July 2018
- Nishi, Hirofumi; Kosugi, Taichi; Furukawa, Yoritaka
- The Journal of Chemical Physics, Vol. 149, Issue 3
Band structures in coupled-cluster singles-and-doubles Green’s function (GFCCSD)
journal, May 2018
- Furukawa, Yoritaka; Kosugi, Taichi; Nishi, Hirofumi
- The Journal of Chemical Physics, Vol. 148, Issue 20
Green’s function coupled cluster formulations utilizing extended inner excitations
journal, December 2018
- Peng, Bo; Kowalski, Karol
- The Journal of Chemical Physics, Vol. 149, Issue 21
Multi-reference algebraic diagrammatic construction theory for excited states: General formulation and first-order implementation
journal, November 2018
- Sokolov, Alexander Yu.
- The Journal of Chemical Physics, Vol. 149, Issue 20
Wannier interpolation of one-particle Green’s functions from coupled-cluster singles and doubles (CCSD)
journal, March 2019
- Kosugi, Taichi; Matsushita, Yu-ichiro
- The Journal of Chemical Physics, Vol. 150, Issue 11
Explicitly correlated renormalized second-order Green’s function for accurate ionization potentials of closed-shell molecules
journal, June 2019
- Teke, Nakul K.; Pavošević, Fabijan; Peng, Chong
- The Journal of Chemical Physics, Vol. 150, Issue 21
Properties of advanced coupled-cluster Green's function
journal, July 2017
- Peng, Bo; Kowalski, Karol
- Molecular Physics, Vol. 116, Issue 5-6
Construction of Green's functions on a quantum computer: Quasiparticle spectra of molecules
journal, January 2020
- Kosugi, Taichi; Matsushita, Yu-ichiro
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Coupled-cluster Green's function: Analysis of properties originating in the exponential parametrization of the ground-state wave function
journal, December 2016
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Third-order algebraic diagrammatic construction theory for electron attachment and ionization energies: Conventional and Green’s function implementation
journal, December 2019
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- The Journal of Chemical Physics, Vol. 151, Issue 22
Comparison of Green's functions for transition metal atoms using self-energy functional theory and coupled-cluster singles and doubles (CCSD)
text, January 2018
- Kosugi, Taichi; Nishi, Hirofumi; Furukawa, Yoritaka
- arXiv
Band structures in coupled-cluster singles-and-doubles Green's function (GFCCSD)
text, January 2018
- Furukawa, Yoritaka; Kosugi, Taichi; Nishi, Hirofumi
- arXiv
Third-order algebraic diagrammatic construction theory for electron attachment and ionization energies: Conventional and Green's function implementation
text, January 2019
- Banerjee, Samragni; Sokolov, Alexander Yu.
- arXiv