Auger decay of excitons in (formula presented)

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 15, 1999, Pages 10872-10885

  O'Hara K E ^a   Gullingsrud, J R ^a   Wolfe, J P ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000234425     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.10872     Document Type: Article

References (29)

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18. Trauernicht et al. report an Auger constant (Formula presented) for paraexcitons confined to a Gaussian cloud by a strain well. This value must be multiplied by the appropriate volume—(Formula presented) using Eq. (10) later in this paper and the description of the strain well by Trauernicht et al.— and divided by 2 due to a difference in definitions.
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25. The actual situation in (Formula presented) is somewhat more complicated. The optical transitions in question are phonon assisted, so we must consider the energies of the optical phonons created or destroyed. We balance the redshifted absorption—seen in Fig. 5(b)—with the redshifted luminescence. Letting (Formula presented) denote the occupation number of the (Formula presented) optical phonon, the rate for this redshifted absorption is (Formula presented)and the luminescence rate is (Formula presented)The energies of the photon and exciton are not equal; the total energy of the exciton is lower than that of the photon by one (Formula presented) phonon energy. Since in equilibrium all the (Formula presented)’s are Planck functions, we have the following identity: (Formula presented)So the final result is the same as Eq. (6) in the text.
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