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

Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method
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DOI:
10.1088/0957-0233/26/8/085012
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发表时间:
2015-04
影响因子:
2.4
通讯作者:
K. Szyma'nski;K. Łapiński;Jan L. Cie'sli'nski;Artur Kobus;Piotr Zaleski;M. Biernacka;Krystyna Perzy'nska
K. Szyma'nski;K. Łapiński;Jan L. Cie'sli'nski;Artur Kobus;Piotr Zaleski;M. Biernacka;Krystyna Perzy'nska
中科院分区:
工程技术3区
文献类型:
--
作者:
K. Szyma'nski;K. Łapiński;Jan L. Cie'sli'nski;Artur Kobus;Piotr Zaleski;M. Biernacka;Krystyna Perzy'nska

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A six-point generalization of the van der Pauw method is presented. The method is applicable for 2D homogeneous systems with an isolated hole. A single measurement performed on the contacts located arbitrarily on the sample edge allows us 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 the experimental determination of the sample inhomogeneity.