Differential Hall-Effect Spectroscopy (DHES) for p-type semiconductor

 

The hole concentration  produced by different acceptor species (density  and energy level ) and one donor (density ) is expressed by

.                                     (1)

The derivative  is derived as

(2)

  Since energy levels measured from the top of the valence band are described as

                                                     (3)

and

,                                                      (4)

the DHES signal is theoretically expressed by

.   (5)

The function

has a maximum of

at .