Direct Comparison of Fractional and Integer Quantized Hall Resistance

We present precision measurements of the fractional quantized Hall effect where the quantized resistance $R^{[1/3]}$ in the fractional quantum Hall state at filling factor 1/3 was compared with $R_K/2$, represented by a quantized resistance $R^{[2]}$ at filling factor 2. A cryogenic current comparator bridge capable of currents down to the nanoampere range was used to directly compare two resistance values of two GaAs-based devices located in two cryostats. A value of $1 - (5.3 \pm 6.2) 10^{-8} (k = 2)$ was obtained for the ratio $(R^{[1/3]}/6R^{[2]})$. This constitutes the most precise confirmation of the universality of integer quantization (in terms of $h/e^2$) in single-particle systems and of fractional quantization in fractionally charged quasi-particle systems. In view of the upcoming revision of the SI the result supports the faith in the validity of the physics underlying the revision.