Two-photon transitions to exciton states in semiconductors |
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| Authors: | A. Quattropani R. Girlanda |
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| Affiliation: | Laboratoire de Physique Théorique, Ecole Polytechnique Fédérale de Laussane, P.O. Box 1024, 1001 Lausanne, Switzerland;Istituto di Struttura della Materia dell''Università di Messina and GNSM-CNR, Messina, Italy |
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| Abstract: | We consider the gauge invariance of the two-photon transition rate from the crystal ground state to exciton states in semiconductors in the framework of the Wannier model. We show that the non-locality correction in the velocity gauge is essential to preserve the gauge invariance. As a numerical example, we calculate in the length and in the velocity gauge the transition rates for the two-photon direct creation of 2p excitons in a two-band semiconductor. |
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