Optics of semiconductors from meta-GGA-based time-dependent density-functional theory

Abstract

We calculate the optical spectra of silicon and germanium in the adiabatic time-dependent density functional formalism, making use of kinetic energy density-dependent (meta-GGA) exchange-correlation functionals. We find excellent agreement between theory and experiment. The success of the theory on this notoriously difficult problem is traced to the fact that the exchange-correlation kernel of meta-GGA supports a singularity of the form $\alpha /q^2$ (where $q$ is the wave-vector and $\alpha$ is a constant), whereas previously employed approximations (e.g. local density and generalized gradient approximations) do not. Thus, the use of the adiabatic meta-GGA opens a new path for handling the extreme non-locality of the time-dependent exchange-correlation potential in solid-state systems.

4 pages, 2 figures

References in corpus (2)

• Bootstrap approximation for the exchange-correlation kernel of time-dependent density functional theory
• Exact dynamical exchange-correlation kernel of a weakly inhomogeneous electron gas

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