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Title: Stochastic Resolution of Identity for Real-Time Second-Order Green’s Function: Ionization Potential and Quasi-Particle Spectrum

Journal Article · · Journal of Chemical Theory and Computation
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4];  [5]; ORCiD logo [6]
  1. Univ. of California, Berkeley, CA (United States)
  2. Mercedes-Benz Research and Development North America, Sunnyvale, CA (United States)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. Hebrew Univ. of Jerusalem (Israel)
  5. Univ. of California, Los Angeles, CA (United States)
  6. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Tel Aviv Univ. (Israel)
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Here, we develop a stochastic resolution of identity approach to the real-time second-order Green's function (real-time sRI-GF2) theory, extending our recent work for imaginary-time Matsubara Green's function [ Takeshita et al. J. Chem. Phys. 2019 , 151 , 044114 ]. The approach provides a framework to obtain the quasi-particle spectra across a wide range of frequencies and predicts ionization potentials and electron affinities. To assess the accuracy of the real-time sRI-GF2, we study a series of molecules and compare our results to experiments as well as to a many-body perturbation approach based on the GW approximation, where we find that the real-time sRI-GF2 is as accurate as self-consistent GW. The stochastic formulation reduces the formal computatinal scaling from O(Ne5) down to O(Ne3) where Ne is the number of electrons. Finally, this is illustrated for a chain of hydrogen dimers, where we observe a slightly lower than cubic scaling for systems containing up to Ne ≈ 1000 electrons.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Israel Science Foundation
Grant/Contract Number:
AC02-05CH11231; 800/19
OSTI ID:
1603547
Journal Information:
Journal of Chemical Theory and Computation, Vol. 15, Issue 12; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

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Cited By (2)

Stochastic many-body perturbation theory for electron correlation energies journal December 2019
Stochastic many-body perturbation theory for electron correlation energies text January 2019

Figures / Tables (7)

Figure 1(p. 7)figure Figure 1
Figure 2(p. 15)figure Figure 2
Table 1(p. 16)table Table 1
Figure 3(p. 17)figure Figure 3
Figure 4(p. 18)figure Figure 4
Figure 5(p. 20)figure Figure 5
Figure 6(p. 21)figure Figure 6

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Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
hydrogen
approximation
molecules
electrical energy
electron correlation