The fermi distributions is: F (E, T) = F(E< EF,0)=_ F(E> EF,0)=- exp 1 (B-Ex) BT +1 [Select] [Select] 1 1/2 F(E=EF,T)=- 0 3/4 What is the probability for state E< Ep at T = 0 K is unoccupied? [Select] , where T can be any temperature.

Consider a 100 Ǻ GaAs/AlGaAs quantum well where the electron effective mass is 0.067 m0. There are 2 x 1012 electron/cm2 in the well. At low temperatures, calculate the magnetic field at which the Fermi level just enters the third Landau level of the ground state sub-band.

Plot the Fermi-Dirac probability of occupation function fFD(E) for T = 0, 10, 100, 200, 300 and 400K.