Model for mobility fluctuation 1/<i>f</i> noise

Abstract

Hooge’s mobility fluctuation 1/f noise is interpreted in terms of fluctuations in the free path length of the carriers. The model involves a well-known distribution of time constants that gives the 1/f spectrum. Kleinpenning’s conjecture that Hooge’s original mobility fluctuation expression holds for individual energy intervals of the electrons is not vindicated. The free-path-length fluctuation is interpreted in terms of interactions of electrons with the slowly varying longitudinal phonon population of the sample, so that only the lattice mobility is noisy. Hence the model leaves the Hooge-Vandamme extension of Hooge’s original expression intact.