Page 320 - Semiconductor For Micro- and Nanotechnology An Introduction For Engineers
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Inhomogeneities
                    Φ M       V 0      E  χ  S  Φ  M   V 0  χ         Φ M
                                        c                    S
                                                              E                   E
                                    E                           c                   c
                       E              FS         E          E             E     E
                        FM             E  v       FM         FS            FM    FS
                              ∞                        δ      E  v                E  v
                     Metal Vacuum   Si         Metal Vacuum   Si        Metal   Si
                Figure 7.25. Three steps in bringing a metal and a semiconductor together. Notice how
                the band of the semiconductor is curved in order that the Fermi level of the joined metal
                and semiconductor can remain constant throughout.



                             slab of doped semiconductor is metallized on both free ends, we can
                             expect an equilibrium electrostatic state for Shottky contacts as depicted
                             in Figure 7.26.

                Ohmic        Ohmic contacts, i.e., contacts that have a very small potential drop and
                Contact      hence a low contact resistance, are very important for the formation of

                             general semiconductor circuits. To form closed circuits, we use the metal
                             of the fabrication process to define interconnect wiring. Clearly, since we
                             expect to have many contacts in series, it is of utmost importance that the
                             contact resistance be minimal. Because of the small difference between
                             the electron affinity of silicon and the work function of aluminium, i.e.,
                             Φ –  Φ =  0.2eV  , we can control the nature of the contact between
                              M    S
                             these two materials using only the doping level in the silicon. Hence this
                             material system is very popular for CMOS and Bipolar processes. We
                             now consider two cases [7.16].

                Tunneling    • The tunneling ohmic contact is formed due to the fact that, with a
                Ohmic          highly-doped n-type semiconductor substrate, the deformed band
                Contact
                               edge permits permanent tunneling of electrons from the metal into
                               and out of the semiconductor, see Figure 7.27a. For tunneling to hap-
                               pen, we must have that  Φ >  Φ  .  This is achieved by raising the
                                                      M    S
                               Fermi level of the semiconductor towards the conduction band edge
                                                 +
                               through degenerate  n   doping. For silicon this means donor doping


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