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arXiv · 1504.05763

Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method

Krzysztof Szymański·Kamil Łapiński·Jan L. Cieśliński·Artur Kobus·Piotr Zaleski·Maria Biernacka·Krystyna Perzyńska
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Abstract

Six point generalization of the van der Pauw method is presented. The method is applicable for two dimensional homogeneous systems with an isolated hole. A single measurement performed on the contacts located arbitrarily on the sample edge allows to determine the specific resistivity and a dimensionless parameter related to the hole, known as the Riemann modulus. The parameter is invariant under conformal mappings of the sample shape. The hole can be regarded as a high resistivity defect. Therefore the method can be applied for experimental determination of the sample inhomogeneity.

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Krzysztof Szymański, Kamil Łapiński, Jan L. Cieśliński, Artur Kobus, Piotr Zaleski, Maria Biernacka, Krystyna Perzyńska. 2015-04-22. Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method. https://doi.org/10.1088/0957-0233%2F26%2F8%2F085012

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