Geometric approach to determine the binding energy of quasi-two-dimensional biexcitons

In-Keun Oh, Jai Singh

Research output: Contribution to journalComment/debate


We improve upon the simple method of Singh et al. [Phys. Rev. B 53, 15 909 (1996)] to calculate the biexciton binding energy in quasi-two-dimensional (2D) quantum wells. Optimizing the geometric configuration, a simple and analytical expression for the ratio of the binding energy of a 2D biexciton to that of an exciton, Ebxx/Ebx, is derived. It is found that the geometric configuration of a positronium-molecule-like biexciton is a square and that of a hydrogen-molecule-like biexciton is a tetragon. The average interparticle distances as functions of σ are also determined. The theory is applied to GaAs, ZnSe, and CdxZn1-xSe quantum wells and the result of Ebxx/Ebx thus obtained agrees with the experimental results.
Original languageEnglish
Pages (from-to)2528-2535
Number of pages8
JournalPhysical Review B (Condensed Matter and Materials Physics)
Issue number4
Publication statusPublished - 1999


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