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A Simple Approach to the Energy of Bound Exciton Complexes
Author(s) -
Loose P.,
Wöhlecke M.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220730125
Subject(s) - exciton , limiting , limit (mathematics) , upper and lower bounds , impurity , simple (philosophy) , physics , energy (signal processing) , ionization , atomic physics , value (mathematics) , bound state , quantum mechanics , chemistry , mathematics , mathematical analysis , statistics , ion , mechanical engineering , engineering , philosophy , epistemology
From some basic properties of excitons bound to ionized impurities a rough estimate and an approximation is obtained of the energy of the complex. Especially the upper limit of the estimate reflects the available experimental data quite well. The critical σ = m e /m h value, above which the complex becomes unstable, is found to be 0.462 ≦ σ c ≦ 0.576. For the region σ ≦ 1 we compute both upper and lower limits and an approximation of the energy of excitons bound to neutral impurities. From the limiting cases σ → 0, ∞ the forbidden region 2.1 ≦ σ F ≦ 12 is obtained where the upper value is certainly too large.