Fine structure of excitons in Cu$_2$O

Details Fine structure of excitons in Cu$_2$O Fine structure of excitons in Cu$_2$O

1996-05-31

arxiv.org/abs/cond-mat/9605191v2

Phys. Rev. B, 55 (1997) 7593

Physics

Condensed Matter

Revised abstract; 10 pages, revtex, 3 figures available from G. Kavoulakis, Physics Department, University of Illinois, Urbana

Scientific paper

10.1103/PhysRevB.55.7593

Three 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.

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