Page 328 - Electrical Properties of Materials
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310                           Lasers

                                                                         Forward-bias voltage



                                                         Metal
                                                  Silicon dioxide
                                       Heavily p-doped gallium arsenide

                                     p-Doped gallium aluminium arsenide
                                                  Gallium arsenide
                                     n-Doped gallium aluminium arsenide
                                       Heavily n-doped gallium arsenide


     Fig. 12.10
     Schematic drawing of a double           Laser beam
                                                                          Metal   Heat sink
     heterojunction diode laser.



                                   layer (≈100 nm) of GaAs in between. Very remarkably, we can kill two birds
                                   with that one layer. It will serve both to confine the wave and to confine the
                                   carriers.
                                     It is very easy to see why the wave is confined. GaAs has a higher index of
                                   refraction than AlGaAs, hence the mechanism of confinement is simply that
                                   of total internal reflection, as mentioned in Section 10.15 when talking about
                                   optical fibres.
                                     Why are the carriers confined? Well, we have been through this before,
                                   haven’t we? We discussed this type of heterojunction in Section 9.15 and
                                   came clearly to the conclusion that the electrons are confined to a very nar-
                                   row potential well. So why do I ask this question again? The reason is that the
                                   confinement of carriers is due now to a different mechanism. The crucial thing
                                   is still the lower energy gap of GaAs relative to AlGaAs, but we no longer rely
     Note, however, that our aim is now  on the triangular potential well for confinement.
     to confine the carriers to the nar-  To see in detail what happens in the p-type AlGaAs–undoped GaAs–n-type
     row GaAs region and not to the  AlGaAs heterojunction, I shall first show the energy diagram at thermal equi-
     extremely narrow triangular wells.  librium [Fig. 12.11(a)]. This is drawn by exactly the same technique which led
     These blips in the energy diagram  to Fig. 9.41(c). The triangular well we have seen in Section 9.15 is there at
     are now embarrassments rather  the right-hand junction. A new kind of triangular well, in which the holes are
     than assets. In fact, by gradually  confined, may be seen at the left-hand junction.
     increasing the proportion of A1 in  What happens when we apply a forward bias? The barriers decline
     the junction, the blips can be re-  [Fig. 12.11(b)], but in contrast to those in the homojunction, the remaining
     moved (we no longer show them  barriers (for electrons towards the left and for holes towards the right) are still
     in Fig. 12.11(b)).            high enough to prevent carriers spilling over into the oppositely doped region
                                   and disappearing by the wrong kind of non-radiative recombination. The elec-
                                   trons injected from the left have little other choice but to take the plunge into
                                   the empty states in the valence band and emit a photon, meanwhile.
                                     The threshold current density of our heterojunction will be much smaller
                                   because the fraction of electrons which recombine radiatively will be much
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