1993
DOI: 10.1063/1.1144224
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What do you measure when you measure the Hall effect?

Abstract: A formalism for calculating the sensitivity of Hall measurements to local inhomogeneities of the sample material or the magnetic field is developed. This Hall weighting function g(x,y) is calculated for various placements of current and voltage probes on square and circular laminar samples. Unlike the resistivity weighting function, it is nonnegative throughout the entire sample, provided all probes lie at the edge of the sample. Singularities arise in the Hall weighting function near the current and voltage p… Show more

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Cited by 21 publications
(14 citation statements)
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“…If tendencies and degrees of deviations in measurements obtained by the van der Pauw method for inhomogenous samples from those of homogeneous samples are made clear, then the utility of the measurement method and reliability of the measurement values will be increased. There have been several reports on the influence of inhomogeneity on van der Pauw measurements of such unintentional inhomogeneous samples [6][7][8][9][10][11]. However, concrete values on such deviations have not been sufficiently reported.…”
Section: Introductionmentioning
confidence: 96%
“…If tendencies and degrees of deviations in measurements obtained by the van der Pauw method for inhomogenous samples from those of homogeneous samples are made clear, then the utility of the measurement method and reliability of the measurement values will be increased. There have been several reports on the influence of inhomogeneity on van der Pauw measurements of such unintentional inhomogeneous samples [6][7][8][9][10][11]. However, concrete values on such deviations have not been sufficiently reported.…”
Section: Introductionmentioning
confidence: 96%
“…29 While we have derived Eqs. (4) and (5) for the case of a conducting plane of infinite area, the equations appear to be of general validity for all simply connected specimens, as calculating the functions on the right-hand side and comparing them to previously calculated (and experimentally measured 21,22 ) weighting functions for a both circular and square vdP [18][19][20] and both linear and square 4PP 18,24,25 geometries confirms. We have included two of these cases, a square vdP arrangement and both a linear and square 4PP array on an infinite conducting plane, in Figs.…”
Section: The Terminology Of Sensitivitymentioning
confidence: 82%
“…In earlier works [18][19][20][21][22][23] the SLU group has referred to the sensitivity functions calculated from Eq. (3) as the "resistivity weighting function" and the "Hall weighting function," stating that the latter was due to inhomogeneities in the Hall angle.…”
Section: The Terminology Of Sensitivitymentioning
confidence: 99%
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