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

Journal article (2020)

Authors

R. Thierschmann Kavli institute of nanoscience Delft, QN/Klapwijk Lab
H. Çetinay Iyicil Network Architectures and Services - EEMCS , Universiteit Leiden
M. Finkel Kavli institute of nanoscience Delft, QN/Klapwijk Lab
A.J. Katan QN/Afdelingsbureau , Kavli institute of nanoscience Delft
M.P. Westig Kavli institute of nanoscience Delft, QN/Klapwijk Lab
P.F.A. Van Mieghem Network Architectures and Services - EEMCS
T.M. Klapwijk QN/Klapwijk Lab , Moscow State Pedagogical University
Research Group
QN/Klapwijk Lab
Copyright: © 2020 R. Thierschmann, H. Çetinay Iyicil , M. Finkel, A.J. Katan, M.P. Westig, P.F.A. Van Mieghem, T.M. Klapwijk
DOI: https://doi.org/10.1103/PhysRevApplied.13.014039
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Published Date

2020

Language

English

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Research Group

QN/Klapwijk Lab

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.