(Solved):   Draw the energy band diagram for a metal-semiconductor contact (including the vacuum level ...

 

Draw the energy band diagram for a metal-semiconductor contact (including the vacuum level). The metal used is gold which has a work function of \( 5.1 \mathrm{eV} \), and the semiconductor is \( \mathrm{N} \)-type Si with uniform doping concentration of \( 6 \times 10^{17} \mathrm{~cm}^{-3} \). Assume \( \mathrm{T}=300 \mathrm{~K} \) and \( \mathrm{kT}=0.026 \mathrm{eV} \) (a) Label clearly \( q \Phi_{\mathrm{m},} \mathrm{q} \Phi_{\mathrm{B}}, \chi \mathrm{Si}, \mathrm{q} \Phi_{\mathrm{S}} \) and \( \mathrm{q} V_{0} \) on your sketch. (b) Find the numerical values for \( q \Phi_{m}, q \Phi_{B}, \chi \) Si, \( q \Phi_{S} \) and \( q V_{0} \) (c) Is this an ohmic contact or a Schottky diode?