Measurement of the Hall coefficient on short specimens with high-resistance contacts

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Abstract
When Hall measurements are made on samples having a length-to-width ratio that is not much greater than unity, the transverse potential difference usually differs appreciably from the Hall voltage. However, it has been found experimentally that this difference can be substantially reduced if the commonly used metal contacts are replaced by contacts having a high electrical resistivity. This observation is explained by a theoretical calculation of the variation of transverse voltage with distance from the contact for a long Hall specimen connected to a long sample of another material having a different resistivity and zero Hall coefficient. The calculation, which has been carried out for various resistivity ratios, allows one to specify conditions under which the Hall coefficient can be determined for very short samples without the need for end corrections.

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