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25 April 2024
 
  » arxiv » cond-mat/9605191

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Fine structure of excitons in Cu$_2$O
G. M. Kavoulakis ; Yia-Chung Chang ; Gordon Baym ;
Date 31 May 1996
Journal Phys. Rev. B, 55 (1997) 7593
Subject cond-mat
AbstractThree experimental observations on 1s-excitons in Cu$_2$O are not consistent with the picture of the exciton as a simple hydrogenic bound state: the energies of the 1s-excitons deviate from the Rydberg formula, the total exciton mass exceeds the sum of the electron and hole effective masses, and the triplet-state excitons lie above the singlet. Incorporating the band structure of the material, we calculate the corrections to this simple picture arising from the fact that the exciton Bohr radius is comparable to the lattice constant. By means of a self-consistent variational calculation of the total exciton mass as well as the ground-state energy of the singlet and the triplet-state excitons, we find excellent agreement with experiment.
Source arXiv, cond-mat/9605191
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