Optimization of sample-chip design for stub-matched radio-frequency reflectometry measurements
S. Hellm\"uller, M. Pikulski, T. M\"uller, B. K\"ung, G., Puebla-Hellmann, A. Wallraff, M. Beck, K. Ensslin, T. Ihn

TL;DR
This paper investigates and optimizes a tunable rf matching circuit for reflectometry in semiconductor nanostructures, demonstrating a threefold enhancement in measurement sensitivity through improved chip design.
Contribution
It introduces a method to optimize sample-specific chip design for rf reflectometry using a tunable varactor diode, achieving significant sensitivity improvements.
Findings
Reflection coefficient change can be increased by a factor of 3.
Optimized electrode geometry enhances measurement sensitivity.
Comparison of different chip designs shows significant performance differences.
Abstract
A radio-frequency (rf) matching circuit with an in situ tunable varactor diode used for rf reflectometry measurements in semiconductor nanostructures is investigated and used to optimize the sample-specific chip design. The samples are integrated in a 2-4 GHz stub-matching circuit consisting of a waveguide stub shunted to the terminated coplanar waveguide. Several quantum point contacts fabricated on a GaAs/AlGaAs heterostructure with different chip designs are compared. We show that the change of the reflection coefficient for a fixed change in the quantum point contact conductance can be enhanced by a factor of 3 compared to conventional designs by a suitable electrode geometry.
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