Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 18, Issue 7, Pages 1055-1067Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979204024537
Keywords
optical absorption; excitonic effects; Bethe-Salpeter equation (BSE); time dependent density functionaltheory (TDDFT)
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We derive a simplified Bethe-Salpeter equation for calculating optical absorption based on the assumption of a local electron-hole interaction. The original four-point equation for the kernel is reduced to a two-point one. A connection to the exchange-correlation kernel in time-dependent density functional theory can be established. The resulting f(xc) is found to be -W/2 where W contains only the short-range (local) part of the Coulomb screened interaction. This simple approximation was successfully applied to optical absorption spectra of some excitonic crystals, reproducing not only the continuum excitons but also the bound ones.
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