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Title: Excitation spectra of aromatic molecules within a real-space G W -BSE formalism: Role of self-consistency and vertex corrections

Abstract

We present first-principles calculations on the vertical ionization potentials (IPs), electron affinities (EAs), and singlet excitation energies on an aromatic-molecule test set (benzene, thiophene, 1,2,5-thiadiazole, naphthalene, benzothiazole, and tetrathiafulvalene) within the GW and Bethe-Salpeter equation (BSE) formalisms. Our computational framework, which employs a real-space basis for ground-state and a transition-space basis for excited-state calculations, is well suited for high-accuracy calculations on molecules, as we show by comparing against G0W0 calculations within a plane-wave-basis formalism. We then generalize our framework to test variants of the GW approximation that include a local density approximation (LDA)-derived vertex function (ΓLDA) and quasiparticle-self-consistent (QS) iterations. We find that ΓLDA and quasiparticle self-consistency shift IPs and EAs by roughly the same magnitude, but with opposite sign for IPs and the same sign for EAs. G0W0 and QSGWΓLDA are more accurate for IPs, while G0W0ΓLDA and QSGW are best for EAs. For optical excitations, we find that perturbative GW-BSE underestimates the singlet excitation energy, while self-consistent GW-BSE results in good agreement with previous best-estimate values for both valence and Rydberg excitations. Finally, our work suggests that a hybrid approach, in which G0W0 energies are used for occupied orbitals and G0W0ΓLDA for unoccupied orbitals, also yields optical excitationmore » energies in good agreement with experiment but at a smaller computational cost.« less

Authors:
ORCiD logo [1];  [2];  [3];  [3];  [2];  [4]
  1. Univ. of Illinois at Chicago, Chicago, IL (United States); National Institute of Standards and Technology, Gaithersburg, MD (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Univ. of Texas at Austin, Austin, TX (United States)
  4. Univ. of Illinois at Chicago, Chicago, IL (United States)
Publication Date:
Research Org.:
Univ. of Illinois at Chicago, Chicago, IL (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1351305
Alternate Identifier(s):
OSTI ID: 1294714; OSTI ID: 1454482
Grant/Contract Number:  
SC0001853; FG02-09ER16072; AC02-05CH11231; SC0008877
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Hung, Linda, da Jornada, Felipe H., Souto-Casares, Jaime, Chelikowsky, James R., Louie, Steven G., and Öğüt, Serdar. Excitation spectra of aromatic molecules within a real-space GW-BSE formalism: Role of self-consistency and vertex corrections. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.085125.
Hung, Linda, da Jornada, Felipe H., Souto-Casares, Jaime, Chelikowsky, James R., Louie, Steven G., & Öğüt, Serdar. Excitation spectra of aromatic molecules within a real-space GW-BSE formalism: Role of self-consistency and vertex corrections. United States. https://doi.org/10.1103/PhysRevB.94.085125
Hung, Linda, da Jornada, Felipe H., Souto-Casares, Jaime, Chelikowsky, James R., Louie, Steven G., and Öğüt, Serdar. Mon . "Excitation spectra of aromatic molecules within a real-space GW-BSE formalism: Role of self-consistency and vertex corrections". United States. https://doi.org/10.1103/PhysRevB.94.085125. https://www.osti.gov/servlets/purl/1351305.
@article{osti_1351305,
title = {Excitation spectra of aromatic molecules within a real-space GW-BSE formalism: Role of self-consistency and vertex corrections},
author = {Hung, Linda and da Jornada, Felipe H. and Souto-Casares, Jaime and Chelikowsky, James R. and Louie, Steven G. and Öğüt, Serdar},
abstractNote = {We present first-principles calculations on the vertical ionization potentials (IPs), electron affinities (EAs), and singlet excitation energies on an aromatic-molecule test set (benzene, thiophene, 1,2,5-thiadiazole, naphthalene, benzothiazole, and tetrathiafulvalene) within the GW and Bethe-Salpeter equation (BSE) formalisms. Our computational framework, which employs a real-space basis for ground-state and a transition-space basis for excited-state calculations, is well suited for high-accuracy calculations on molecules, as we show by comparing against G0W0 calculations within a plane-wave-basis formalism. We then generalize our framework to test variants of the GW approximation that include a local density approximation (LDA)-derived vertex function (ΓLDA) and quasiparticle-self-consistent (QS) iterations. We find that ΓLDA and quasiparticle self-consistency shift IPs and EAs by roughly the same magnitude, but with opposite sign for IPs and the same sign for EAs. G0W0 and QSGWΓLDA are more accurate for IPs, while G0W0ΓLDA and QSGW are best for EAs. For optical excitations, we find that perturbative GW-BSE underestimates the singlet excitation energy, while self-consistent GW-BSE results in good agreement with previous best-estimate values for both valence and Rydberg excitations. Finally, our work suggests that a hybrid approach, in which G0W0 energies are used for occupied orbitals and G0W0ΓLDA for unoccupied orbitals, also yields optical excitation energies in good agreement with experiment but at a smaller computational cost.},
doi = {10.1103/PhysRevB.94.085125},
journal = {Physical Review B},
number = 8,
volume = 94,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}

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