Modified van der Pauw method based on formulas solvable by the Banach fixed point method

Jan L. Cieśliński

doi:10.1016/j.tsf.2012.09.018

Modified van der Pauw method based on formulas solvable by the Banach fixed point method

Classical Physics 2013-08-08 v1 Mesoscale and Nanoscale Physics Mathematical Physics math.MP

Authors: Jan L. Cieśliński

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Abstract

We propose a modification of the standard van der Pauw method for determining the resistivity and Hall coefficient of flat thin samples of arbitrary shape. Considering a different choice of resistance measurements we derive a new formula which can be numerically solved (with respect to sheet resistance) by the Banach fixed point method for any values of experimental data. The convergence is especially fast in the case of almost symmetric van der Pauw configurations (e.g., clover shaped samples).

Cite

@article{arxiv.1204.0085,
  title  = {Modified van der Pauw method based on formulas solvable by the Banach fixed point method},
  author = {Jan L. Cieśliński},
  journal= {arXiv preprint arXiv:1204.0085},
  year   = {2013}
}