Excitonic effects in time-dependent density-functional theory: An analytically solvable model

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 24, 2004, Pages 1-12

  Stubner, R ^a   Tokatly, I V ^a   Pankratov, O ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; DENSITY FUNCTIONAL THEORY; ELECTRIC POTENTIAL; EXCITON; TECHNIQUE;

EID: 14944340530     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.245119     Document Type: Article

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32. In systems where the ladder approximation is not applicable one would have to replace the screened interaction (here and in the BSE) with the scattering amplitude.
33. As noted above the BSE is normally formulated in terms of the four-point function T. Our integral equation for Λ can straight-forwardly be rewritten in terms of four-point functions as well. However, in the context of the present work it is more convenient to use three-point functions.
34. The natural scale for the interaction strength in our system is given by the value a=2. At this value for a the exciton binding energy is equal to the band gap, which allows for a spontaneous creation of excitons (excitonic instability) in the system.