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Targeted excited state algorithms.

Jonathan J Dorando1, Johannes Hachmann, Garnet Kin-Lic Chan

  • 1Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301, USA.

The Journal of Chemical Physics
|September 4, 2007
PubMed
Summary
This summary is machine-generated.

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New harmonic Davidson algorithms improve accuracy and stability for calculating excited states in molecules using density matrix renormalization group (DMRG). The state-averaged harmonic Davidson method shows optimal performance.

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Traditional excited state calculations face limitations due to the need to solve for all intermediate states.
  • Accurate computation of excited states is crucial for understanding photophysical processes and designing new materials.

Purpose of the Study:

  • To develop and evaluate novel algorithms for more efficient and accurate excited state calculations.
  • To address the limitations of traditional state-averaging methods in quantum chemistry.

Main Methods:

  • Implementation of harmonic Davidson and state-averaged harmonic Davidson algorithms.
  • Application within the density matrix renormalization group (DMRG) framework.
  • Testing on low-lying excited states of acenes (naphthalene to pentacene) using complete-active-space DMRG.

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Main Results:

  • Both implemented harmonic Davidson algorithms demonstrate improved accuracy over the traditional state-averaged Davidson approach.
  • The state-averaged harmonic Davidson algorithm provides a superior balance of accuracy and convergence stability.
  • Successful application to complex molecular systems like polycyclic aromatic hydrocarbons.

Conclusions:

  • The state-averaged harmonic Davidson algorithm is a highly effective method for excited state calculations in the DMRG context.
  • These new algorithms offer a significant advancement for computational studies of molecular excited states.
  • The findings pave the way for more reliable predictions in photochemistry and materials science.