研究目的
To describe a resistance ratio bridge suitable for calibrating a four-terminal resistor of value close to the quantum Hall resistance.
研究成果
The proposed Kelvin-like bridge allows to calibrate four-terminal resistance standards of value close to quantum Hall resistance. Despite the bridge implementation involves connections of significant resistance between a cryogenic system and room temperature instrumentation, the effect of the combining network resulting from the multiple connection arrangement allows to achieve a calibration relative accuracy of few parts in 108 at most.
研究不足
The uncertainty sources include the uncertainty of the error term, the uncertainty of the bridge reading, and other residual effects such as instrumental noise, finite isolation resistances, and thermoelectric voltages.
1：Experimental Design and Method Selection:
The bridge includes three quantum Hall elements, wired with multiple connections. The unique properties of the quantum Hall effect provide a Kelvin-like combining network and the rejection of wiring stray resistances.
2：Sample Selection and Data Sources:
The bridge is designed to calibrate four-terminal resistance standards with value close to the quantized Hall resistance RH ≈ 12
3：4 ?. List of Experimental Equipment and Materials:
9 The bridge includes three quantum Hall elements.
4：Experimental Procedures and Operational Workflow:
The bridge's reading is the deviation from equilibrium, measured as a small voltage ratio.
5：Data Analysis Methods:
Circuit network analysis predicts that a basic implementation of the bridge can reach a calibration accuracy in the 10?8 range.
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