Ultrastable Low-Noise Current Amplifiers With Extended Range and Improved Accuracy

The ultrastable low-noise current amplifier (ULCA) was developed as an advanced instrument for the improved measurement of currents generated by single-electron transport (SET) devices. It was optimized for direct currents in the picoampere range, and achieves an uncertainty of <inline-formula> <tex-math notation="LaTeX">$<0.1~\mu \text{A}$ </tex-math></inline-formula>/A for a current of 100 pA typically generated by SET pumps. This paper summarizes our efforts in extending the ULCA’s current range and minimizing the measurement uncertainty over a wide range. Two ULCA variants with improved short-term uncertainty of about 0.02 <inline-formula> <tex-math notation="LaTeX">$\mu \text{A}$ </tex-math></inline-formula>/A or improved noise level of 1.4 fA/<inline-formula> <tex-math notation="LaTeX">$\sqrt {\text {Hz}}$ </tex-math></inline-formula> are presented. Combining these devices allows the construction of a novel standard for direct currents below 50 <inline-formula> <tex-math notation="LaTeX">$\mu \text{A}$ </tex-math></inline-formula>, which has superior performance to previous methods for small-current generation or measurement. ULCAs involving thick-film resistors achieve noise levels down to 0.43 fA/<inline-formula> <tex-math notation="LaTeX">$\sqrt {\text {Hz}}$ </tex-math></inline-formula>. A low-bias variant features an effective input bias current within ±100 aA and a temperature coefficient within ±10 aA/K, which enables uncertainties below 10 aA in direct current measurements without reversing or switching ON/OFF the signal current.

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