skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Charge transfer excitations from particle-particle random phase approximation—Opportunities and challenges arising from two-electron deficient systems

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4977928· OSTI ID:1388076
 [1];  [2];  [1];  [3];  [4];  [5];  [6]
  1. Duke Univ., Durham, NC (United States)
  2. Max Planck Institute for the Structure and Dynamics of Matter, Hamburg (Germany)
  3. Univ. of Regensburg, Regensburg (Germany)
  4. Univ. Lyon, Villeurbanne (France)
  5. Univ. Bremen, Bremen (Germany)
  6. Duke Univ., Durham, NC (United States); South China Normal Univ., Guangzhou (China)

The particle-particle random phase approximation (pp-RPA) is a promising method for studying charge transfer (CT) excitations. Through a detailed analysis on two-electron deficient systems, we show that the pp-RPA is always able to recover the long-distance asymptotic –1/R trend for CT excitations as a result of the concerted effect between orbital energies and the pp-RPA kernel. We also provide quantitative results for systems with relatively short donor-acceptor distances. With conventional hybrid or range-separated functionals, the pp-RPA performs much better than time-dependent density functional theory (TDDFT), although it still gives underestimated results which are not as good as TDDFT with system-dependent tuned functionals. For pp-RPA, there remain three great challenges in dealing with CT excitations. First, the delocalized frontier orbitals in strongly correlated systems often lead to difficulty with self-consistent field convergence as well as an incorrect picture with about half an electron transferred. Second, the commonly used density functionals often underestimate the energy gap between the highest occupied molecular orbital and the lowest unoccupied molecular orbital (LUMO) for the two-electron deficient species, resulting in systems with delocalized orbitals. Third, the performance of pp-RPA greatly depends on the energy difference between the LUMO and a higher virtual orbital. However, the meaning of the orbital energies for higher virtual orbitals is still not clear. We also discuss the performance of an approximate pp-RPA scheme that uses density functional tight binding (pp-DFTB) as reference and demonstrate that the aforementioned challenges can be overcome by adopting suitable range-separated hybrid functionals. Here, the pp-RPA and pp-DFTB are thus promising general approaches for describing charge transfer excitations.

Research Organization:
Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Center for the Computational Design of Functional Layered Materials (CCDM)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0012575
OSTI ID:
1388076
Journal Information:
Journal of Chemical Physics, Vol. 146, Issue 12; Related Information: CCDM partners with Temple University (lead); Brookhaven National Laboratory; Drexel University; Duke University; North Carolina State University; Northeastern University; Princeton University; Rice University; University of Pennsylvania; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (55)

Development of exchange-correlation functionals with minimal many-electron self-interaction error journal May 2007
Range-Separated Exchange Functionals with Slater-Type Functions journal February 2012
On the calculation of charge transfer transitions with standard density functionals using constrained variational density functional theory journal August 2010
Density Functional for Spectroscopy:  No Long-Range Self-Interaction Error, Good Performance for Rydberg and Charge-Transfer States, and Better Performance on Average than B3LYP for Ground States journal December 2006
Conical Intersections from Particle–Particle Random Phase and Tamm–Dancoff Approximations journal June 2016
DFTB+, a Sparse Matrix-Based Implementation of the DFTB Method journal July 2007
DFT studies on helix formation in N-acetyl-(L-alanyl)n-N′-methylamide for n=1–20 journal May 2000
Singlet–Triplet Energy Gaps for Diradicals from Particle–Particle Random Phase Approximation journal April 2015
Nitrogen(II) Oxide Charge Transfer Complexes on TiO 2 : A New Source for Visible-Light Activity journal February 2015
Charge transfer processes in biological systems journal January 1959
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Density functionals for the Yukawa electron-electron interaction journal November 1995
Accurate atomic quantum defects from particle–particle random phase approximation journal November 2015
Structures, Energetics and Electronic Properties of Complex III—V Semiconductor Systems journal January 2000
Benchmark tests and spin adaptation for the particle-particle random phase approximation journal November 2013
Reliable Prediction of Charge Transfer Excitations in Molecular Complexes Using Time-Dependent Density Functional Theory journal March 2009
Exchange-correlation energy from pairing matrix fluctuation and the particle-particle random-phase approximation journal September 2013
A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP) journal July 2004
A tribute to Thomas Frauenheim journal January 2012
Linear-response time-dependent density-functional theory with pairing fields journal May 2014
Insights into Current Limitations of Density Functional Theory journal August 2008
Equations-of-Motion Method and the Extended Shell Model journal January 1968
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Hartree-Fock calculation for excited states journal March 2012
Single-Reference ab Initio Methods for the Calculation of Excited States of Large Molecules journal November 2005
Accurate Hydrogen Bond Energies within the Density Functional Tight Binding Method journal March 2015
Screening Correction to the Slater Exchange Potential journal September 1962
Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies journal September 2014
A well-tempered density functional theory of electrons in molecules journal January 2007
Double, Rydberg and charge transfer excitations from pairing matrix fluctuation and particle-particle random phase approximation journal December 2013
Charge transfer excitations from excited state Hartree-Fock subsequent minimization scheme journal April 2014
Constrained Density Functional Theory and Its Application in Long-Range Electron Transfer journal May 2006
Density Functional Theory with Correct Long-Range Asymptotic Behavior journal February 2005
Fractional charge perspective on the band gap in density-functional theory journal March 2008
Implementation and benchmark of a long-range corrected functional in the density functional based tight-binding method journal November 2015
Exchange-correlation energy from pairing matrix fluctuation and the particle-particle random phase approximation journal May 2014
Charge-Transfer and Energy-Transfer Processes in π-Conjugated Oligomers and Polymers:  A Molecular Picture journal November 2004
Long-range charge-transfer excited states in time-dependent density functional theory require non-local exchange journal August 2003
Nature of ground and electronic excited states of higher acenes journal August 2016
Charge transfer excited state energies by perturbative delta self consistent field method journal August 2012
Range separated functionals in the density functional based tight-binding method: Formalism journal December 2011
Theoretical Insights into Photoinduced Charge Transfer and Catalysis at Oxide Interfaces journal December 2012
A Self-Consistent Charge Density-Functional Based Tight-Binding Scheme for Large Biomolecules journal January 2000
Extensions of the Time-Dependent Density Functional Based Tight-Binding Approach journal October 2013
Accurate atomic quantum defects from particle–particle random phase approximation text January 2015
Single-Reference ab initio Methods for the Calculation of Excited States of Large Molecules journal January 2006
Charge-Transfer and Energy-Transfer Processes in ?-Conjugated Oligomers and Polymers: A Molecular Picture journal February 2005
Accurate atomic quantum defects from particle–particle random phase approximation text January 2015
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density text January 1988
Accurate atomic quantum defects from particle–particle random phase approximation text January 2015
Fractional charge perspective on the band-gap in density-functional theory text January 2007
Range separated functionals in the density functional based tight binding method: Formalism text January 2011
Charge transfer excitations from excited state Hartree-Fock subsequent minimization scheme text January 2014
A density functional theory with correct long-range asymptotic behavior text January 2004
A well-tempered density functional theory of electrons in molecules text January 2007

Cited By (3)