Local Electrodynamics of a Disordered Conductor Model System Measured with a Microwave Impedance Microscope

Holger Thierschmann, Hale Cetinay, Matvey Finkel, Allard J. Katan, Marc P. Westig, Piet Van Mieghem, Teun M. Klapwijk

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Abstract

We study the electrodynamic impedance of percolating conductors with a predefined network topology using a scanning microwave impedance microscope at gigahertz frequencies. For a given percolation number we observe strong spatial variations across a sample that correlate with the connected regions (clusters) in the network when the resistivity is low such as in aluminum. For the more-resistive material (Nb,Ti)N, the impedance becomes dominated by the local structure of the percolating network (connectivity). The results can be qualitatively understood and reproduced with a network current-spreading model based on the pseudoinverse Laplacian of the underlying network graph.

Original languageEnglish
Article number014039
Number of pages6
JournalPhysical Review Applied
Volume13
Issue number1
DOIs
Publication statusPublished - 2020

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