High-precision measurements of the temperature and current dependence of the quantized Hall resistance

Temperature dependence of the Hall and longintudinal resistances in a quantum Hall resistance standard

“…Experimentally, quite often a linear relationship has been observed between R x and ∆ R H [10–13,16–18], implying that R x and ∆ R H experience the same ∆ E or T 0 . Isolated cases have shown deviations from this linear form [13, 17], although it was not stated in those cases whether the data fit a power law dependence.…”

“…Several investigations [3,7–18] measured the temperature dependence of the Hall resistance across the device, and the longitudinal resistance R x along the device, over the following years. However, few experiments could achieve a precision greater than 10 −7 h / e 2 , including metrology laboratories.…”

“…There have been a multitude of experiments performed on the quantum Hall effect; in particular, a number of experiments measuring temperature dependences of transport properties [3,7–18]. However, whether due to the nature of the devices, limitations of the measurement systems, or because the experiment was examining some other aspect of the quantum Hall effect, a limited number of results have been reported which have a direct bearing on the regime of interest for resistance metrology [13,17,18].…”

“…However, whether due to the nature of the devices, limitations of the measurement systems, or because the experiment was examining some other aspect of the quantum Hall effect, a limited number of results have been reported which have a direct bearing on the regime of interest for resistance metrology [13,17,18]. …”