A Possibility for Band Structure Determination: Intraband and Donor‐Band Transitions of Crystal Electrons in High Electric Fields

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Abstract
The electron states of a crystal in an electric field are Kane functions, the Wannier‐Stark levels are the corresponding energy levels. Electromagnetic transitions between them in the infrared region are considered. From the probability of spontaneous transitions as well as from the hf current produced when the field is changed abruptly the band structure can be determined. The absorption constant for donor‐band transitions shows steps as a function of frequency, the tunneling probability shows steps as a function of the field. Both facts can be used to prove the existence of the Wannier‐Stark levels. The absorption threshold is shifted (Franz‐Keldysh effect). The influence of phonons, imperfections and the electron‐electron interaction is estimated.

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