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Related Experiment Videos

Beyond time-dependent exact exchange: the need for long-range correlation.

Fabien Bruneval1, Francesco Sottile, Valerio Olevano

  • 1European Theoretical Spectroscopy Facility (ETSF), Laboratoire des Solides Irradiés, UMR 7642, CNRS-CEA/DSM, Ecole Polytechnique, F-91128 Palaiseau, France. fabien.bruneval@polytechnique.fr

The Journal of Chemical Physics
|April 22, 2006
PubMed
Summary
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Bare exchange interactions in solids significantly impact optical spectra, with three methods showing identical, overestimated excitonic effects in semiconductors. Introducing screening into time-dependent exact exchange (TD-EXX) improves agreement with experimental absorption spectra.

Area of Science:

  • Solid-state physics
  • Quantum mechanics
  • Computational materials science

Background:

  • The classical Hartree picture inadequately describes electron interactions beyond mean-field approximations.
  • Bare exchange interactions are crucial for understanding electron correlation effects in solids.
  • Accurate modeling of optical spectra requires accounting for electron-electron interactions beyond simple models.

Purpose of the Study:

  • To investigate the effect of bare exchange on the optical spectra of solids.
  • To compare three distinct theoretical frameworks for calculating these effects.
  • To identify and address the limitations of current approaches, particularly concerning screening.

Main Methods:

  • Time-dependent Hartree-Fock (TDHF) approximation.

Related Experiment Videos

  • Combined density-functional and Green's function approaches with bare exchange self-energy.
  • Time-dependent exact exchange (TD-EXX) within time-dependent density-functional theory (TDDFT).
  • Simulating screening by reducing the long-range part of the Coulomb interaction.

    • Main Results:

    • TDHF, bare exchange Green's function, and TD-EXX yield identical excitonic effects in solids.
    • These methods drastically overestimate excitonic effects in semiconductors.
    • Overestimation is partially masked in TDHF by an exaggerated quasiparticle band gap.
    • Incorporating screening into TD-EXX resolves discrepancies and aligns with many-body perturbation theory.
    • Reducing the Coulomb interaction's long-range component accurately reproduces experimental semiconductor absorption spectra.

    Conclusions:

    • Bare exchange approximations, while important, lead to significant overestimation of excitonic effects in semiconductors.
    • Screening is the critical missing physical component in these bare exchange approaches.
    • The developed TD-EXX formulation with screening provides a robust method for calculating optical spectra, matching experimental data for semiconductors.