A general low-frequency noise theory based on the fluctuation in the number
of carriers is presented. In this theory, the low-frequency noise is attri
buted to the traps a within the bandgap of a semiconductor, which are the s
ources of the generation-recombination noise. The cumulative effect of the
generation-recombination noise from each trap center generates a 1/f type n
oise, it is shown that in fact, 1/f noise may have any frequency dependence
between 1/f(0)-1/f(2). If not masked by thermal noise, the low-frequency n
oise generated from these traps becomes 1/f(2) very high frequencies. Also,
if the lifetime of the carriers in the semiconductor under nonequilibrium
condition is finite, at very low frequencies, the noise spectral density re
aches a plateau. While this theory can be applied to any semiconductor devi
ce, only heterojunction bipolar transistors (HBTs) were considered in detai
ls, Based on this theory, a model for low-frequency noise in the I,ase of H
BTs is derived, Frequency and current dependence of low-frequency noise are
modeled, Results of the base noise measurements in AlGaAs/GaAs HBTs were f
ound to agree with the noise theory presented here. This significant theory
, for the first time, proves the possibility of the number fluctuation mode
l as a general 1/f noise cause without a need for specific and nonrealistic
carrier lifetime probability functions.