Approximation to the Fermi function in semiconductors If the band gap in a semiconductor is Eg = 0.5 eV and the temperature is 300 K, show that the Fermi function for electrons at the bottom of the...

Approximation to the Fermi function in semiconductors

If the band gap in a semiconductor is Eg = 0.5 eV and the temperature is 300 K,

show that the Fermi function for electrons at the bottom of the conduction band

can be approximated by

AEg) = exp(-Eg/2£BT),

and that, in general, the probability of an electron being found in the conduction

band at an energy AE above the Fermi level is

/•(AE) = exp(-AE/*BT).