Physical review. B, Condensed matter
Cooperative optical absorption
Theodore D. Holstein, R. Orbach, S. Alexander
Abstract
We demonstrate that vibrational overtone (second-harmonic) absorption must be treated as a resonance in the presence of vibrational two-exciton band excitations, as outlined earlier by two of us (T.H. and R.O.) in a manuscript with Luiz C. Scavarda do Carmo and Fritz L\"uty. Explicit calculations are made for a three-dimensional body-centered cubic and a one-dimensional lattice. The behavior of the position and intensity of the overtone absorption with exciton bandwidth and vibrational anharmonicity is studied in detail. Substantial cooperative vibrational absorption intensity is seen to be inconsistent with significant overtone splitting on the scale of the cooperative vibrational absorption bandwidth. Because no extrinsic impurity is required to provide a matrix element for two-exciton absorption, we suggest that the exciton band absorption associated with overtone absorption may be a very clean technique to observe exciton dispersion in solids.