Zero Frequency Current Noise for the Double Tunnel Junction Coulomb Blockade
Selman Hershfield, John H. Davies, Per Hyldgaard, Christopher J., Stanton, and John W. Wilkins

TL;DR
This paper analyzes zero frequency current noise in a double tunnel junction Coulomb blockade system, revealing that noise measurements provide unique insights into electron number fluctuations beyond average current data.
Contribution
It introduces numerical and analytical methods to compute zero frequency current noise, highlighting its role in understanding electron variance in Coulomb blockade devices.
Findings
Noise measures electron number variance
Current measures mean electron number
Noise offers additional transport information
Abstract
We compute the zero frequency current noise numerically and in several limits analytically for the coulomb blockade problem consisting of two tunnel junctions connected in series. At low temperatures over a wide range of voltages, capacitances, and resistances it is shown that the noise measures the variance in the number of electrons in the region between the two tunnel junctions. The average current, on the other hand, only measures the mean number of electrons. Thus, the noise provides additional information about transport in these devices which is not available from measuring the current alone.
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