Quantum 1/f Noise in High Technology Applications Including Ultrasmall Structures and Devices.
Abstract
The present report brings a final answer to the question on the nature of fundamental i/f noise and its ubiquity. A sufficient criterion for a 1/f spectrum in arbitrary chaotic nonlinear systems is derived for the first time. This criterion guarantees a 1/f spectrum for nonlinear systems which also satisfy a condition of mathematical homogeneity. Briefly stated, nonlinearity + homogeneity = 1/f noise. The criterion results because the 1/f spectrum reproduces itself in a self-convolution. Among the five examples to which the criterion is applied is also quantum electrodynamics (QED). resulting in quantum 1/f noise as a fundamental form of quantum chaos. Nonlinearity of the system of a charged particle and its field, plus the basic homogeneity of physical equations causes the criterion to predict the quantum 1/f effect. The simple universal quantum 1/f formula is applied to infrared detectors and yields quantum 1/f noise in the dark current, but not in the photogenerated current. The fractal dimension of quantum 1/f noise is determined on the basis of its quantum chaos definition and is obtained theoretically as a function of bandwidth in a simple model by applying the Grassberger- Procaccia-Takens algorithm to the quantum 1/f theory. The quantum 1/f effect is successfully applied to quartz resonators and bipolar junction transistors. Finally, the quantum 1/f mobility fluctuations are calculated in silicon and the coherent quantum 1/f effect is derived for the first time from a new QED propagator with branch-point singularity. This opens the way to better bridging the gap between coherent and conventional quantum 1/f noise in small and ultrasmall devices.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 14, 1994
- Accession Number
- ADA292812
Entities
People
- Peter H. Handel