Immediate Recapture in the Trapping-Detrapping Process of a Single Charge Carrier

Previously we have shown that pure 1/f noise arises from the trapping-detrapping process when traps are heterogeneous. Namely, the trapping-detrapping process relies on the assumption that detrapping rates of individual trapping centers in the condensed matter are random and uniformly distributed. Another assumption underlying the trapping-detrapping process was that both trapping and detrapping times need to have non– zero duration. Here we violate the latter assumption by introducing immediate recapture of the charge carrier. We show that 1/f noise will still be observed, though the range of frequencies over which it will be observed shifts to the lower frequency range as the immediate recapture probability increases.