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Efficient approach to time-dependent density-functional perturbation theory for optical spectroscopy.

Brent Walker1, A Marco Saitta, Ralph Gebauer

  • 1ICTP-The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34014 Trieste, Italy.

Physical Review Letters
|April 12, 2006
PubMed
Summary

This study presents an efficient method for calculating electron system spectra using linearized time-dependent density-functional theory (TD-DFT). The approach offers a computationally feasible way to determine dynamical polarizabilities and optical spectra, even for large systems.

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Area of Science:

  • Computational physics
  • Quantum chemistry
  • Materials science

Background:

  • Calculating the dynamical polarizability of interacting electron systems is crucial for understanding optical properties.
  • Existing methods can be computationally intensive, especially for large basis sets.

Purpose of the Study:

  • To develop an efficient algorithm for computing the full spectrum of electron systems.
  • To enable large-scale calculations of optical spectra using density-functional theory.

Main Methods:

  • Employs a superoperator formulation of linearized time-dependent density-functional theory (TD-DFT).
  • Represents dynamical polarizability using a matrix continued fraction.
  • Utilizes the nonsymmetric block-Lanczos method to obtain coefficients.

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Main Results:

  • The developed algorithm is computationally efficient, especially with large basis sets.
  • It allows spectrum calculation with a workload only a few times greater than static polarizability calculations.
  • Successfully demonstrated with the calculation of the benzene spectrum.

Conclusions:

  • The new method provides a practical approach for calculating optical spectra.
  • It holds promise for large-scale applications in computational spectroscopy.