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Electro-absorption in quantum well structures                   367

            effect is the description used for the shift and splitting of energy levels in an
            electric field.                                                   It earned the 1919 Nobel Prize
               Talking of electro-absorption, I should also mention the Franz–Keldysh ef-  for Stark. He was the only Nobel
            fect, which is usually observed at electric fields considerably higher than that  prizewinner who became a strong
            needed to see the effect upon exciton resonance. It bears some similarity to the  supporter of Nazism. His job (he
            Schottky effect (see Section 6.6), in which electrons excited thermally to high  did it very well) was to ‘purify’
            enough energy levels could tunnel across a barrier made thin by the presence of  German universities of ‘contamin-
            a high electric field. For the Franz–Keldysh effect, the energy is provided by an  ated blood’. The ‘impure’ refugees
            input photon with an energy less than the bandgap energy, and then tunnelling  from German and Austrian univer-
            can do the rest to provide an electron–hole pair.                sities played a large part in defeat-
                                                                             ing Nazism.
            13.11.4 Applications
            If I had to classify the quantum confined Stark effect in literary terms, I would
            not quite know where to place it. Perhaps melodrama would be the right cat-
            egory, considering the touching affection between electrons and holes. If we
            consider, however, how they stave off brutal intervention by the electric field,
            with their backs against the potential wall, and how quickly all these things
            happen, then melodrama might give way to a thriller. And that is certainly the
            category to which our ultimate question belongs: ‘can these effects be used for
            something?’
               Well, if the attenuation of the device depends on the electric field, then the
            amount of light across it may be modulated by changing the applied voltage.
            We need relatively high fields, which we know may be achieved by placing
            the multiple quantum well structure inside a junction as shown in Fig. 13.28.
                                                    +
                                                          +
            It is a reverse bias p–i–n junction, in which the p and n materials are made
            of AlGaAs, and the quantum well provides the intrinsic part of the junction.

                                  GaAs
                                  Substrate

                                            Quantum well  Contact
                                            structure     metal

                                   Al Ga As         Al Ga As
                  Contact
                  metal     Light                                Light
                            out                                  in









                                                                             Fig. 13.28
                                                                             A quantum well structure inside a
                                                                             reverse bias p–i–n junction used as a
                                                                             light modulator.
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