AC measurements of the quantized Hall resistance
The quantized Hall resistance R/sub H/(i), for i=2, 4 and 6 has been measured over the frequency range from dc to 3 kHz using a standard four terminal-pair impedance bridge. For the ith plateau we found that R/sub H/(i) depended linearly on the magnetic flux density B and quadratically on the freque...
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Published in | IEEE transactions on instrumentation and measurement Vol. 44; no. 2; pp. 245 - 248 |
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Main Authors | , , , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
New York, NY
IEEE
01.04.1995
Institute of Electrical and Electronics Engineers |
Subjects | |
Online Access | Get full text |
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Summary: | The quantized Hall resistance R/sub H/(i), for i=2, 4 and 6 has been measured over the frequency range from dc to 3 kHz using a standard four terminal-pair impedance bridge. For the ith plateau we found that R/sub H/(i) depended linearly on the magnetic flux density B and quadratically on the frequency f. That is, the relative difference /spl Delta/R/sub H/(i,f)/R/sub H/(i) between the ac and dc values is consistent with the empirical relationship k(i)Bf/sup 2/, where k(i) is constant. Below 3 kHz k(i) decreases by approximately a factor of six as i increases from 2 to 6. These results are consistent with inductances /spl ap/100 /spl mu/H, which depend on B, in series with each terminal of the quantum Hall device. From dc to 3 kHz we can derive the ac value of a standard resistor in terms of R/sub H/(2) with a type A relative uncertainty (1/spl sigma/) of 0.05/spl times/10/sup -6/ f/sup 2/ when f is expressed in kHz.< > |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0018-9456 1557-9662 |
DOI: | 10.1109/19.377822 |