Bound excitons in time-dependent density-functional-theory: optical and energy-loss spectra

Abstract

A robust and efficient frequency dependent and non-local exchange-correlation $f_{xc}(r,r^{\prime };\omega )$ is derived by imposing time-dependent density-functional theory (TDDFT) to reproduce the many-body diagrammatic expansion of the Bethe-Salpeter polarization function. As an illustration, we compute the optical spectra of LiF, \sio and diamond and the finite momentum transfer energy-loss spectrum of LiF. The TDDFT results reproduce extremely well the excitonic effects embodied in the Bethe-Salpeter approach, both for strongly bound and resonant excitons. We provide a working expression for $f_{xc}$ that is fast to evaluate and easy to implement.

4 pages, 2 figures. To appear in Phys. Rev. Lett

References in corpus (6)

• The GW method
• Ab initio calculation of excitonic effects in the optical spectra of semiconductors
• Excitonic effects in solids described by time-dependent density functional theory
• Excitonic optical spectrum of semiconductors obtained by time-dependent density-functional theory with the exact-exchange kernel
• Exact Kohn-Sham exchange kernel for insulators and its long-wavelength behavior
• Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time-Dependent Density Functional Theory

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