Effective Electron-Hole Interaction in Shallow Excitons

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概要

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• The Green's function method developed by Mahan for excitons is extended to the case that the interaction is not instantaneous. Energy corrections to the exciton due to recoil effects, retardation effects, renormalization constants and vertex parts arising from the interactions of an electron and a hole forming an exciton with longitudinal optical (LO) phonons, which were treated by Haken in another simplified manner, are explicitly calculated by using the extended method to first order in electron-phonon coupling constant α and in (E/ℏω_l), where E is the binding energy of the exciton and ω_l is the LO phonon frequency. It is shown that in these corrections, the recoil effect and the retardation effect cancel out each other and the renormalization effect and the vertex effect cancel out each other, and a resultant effective interaction between the electron and hole is reduced to Haken's result for large electron-hole separations.

• 社団法人日本物理学会の論文
• 1970-08-05

著者

• Shindo Koichi

  Department Of Physics Faculty Of Science Tohoku University

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• The Effective Mass Equation for the Multi-Valley Semiconductors
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• Binding Energies of Yellow Exciton Series in Cu_2O
• Self-Consistent Pseudopotential of Si
• A Pseudopotential Approach to the Crystal Energy of Si
• Spin-Orbit Coupling in Ionic Crystals with Zincblende and Wurtzite Structures
• Local Field Correction and Acoustic Sum Rule for Si and Ge
• Pseudopotential Approach to Anisotropies of Compton-Profiles of Si and Ge

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