Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method
arXiv:1504.05763 · doi:10.1088/0957-0233/26/8/085012
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.
10 pages, 4 figures