4. (18%) A metal-semiconductor contact is formed on Si (electron affinity X = 4.05 eV) with aluminum (work function Φm = 4.1 eV). The doping concentration of Si is 
(a) (6%) Please plot the ideal band diagram of the Al-5i M-S junction and mark the Fermi level EF, the Schottky barrier height
, and built-in potential barrier
at equilibrium.