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

Autor: Szymański, Krzysztof, Łapiński, Kamil, Cieśliński, Jan L., Kobus, Artur, Zaleski, Piotr, Biernacka, Maria, Perzyńska, Krystyna
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/0957-0233/26/8/085012
Popis: 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.
Comment: 10 pages, 4 figures
Databáze: arXiv