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On the Accuracy of the Cox–Strack Equation and Method for Contact Resistivity Determination

M. Van Rijnbach, R.J.E. Hueting, Maciej K. Stodolny, G.J.M. Janssen, Jimmy Melskens, Jurriaan Schmitz

2020IEEE Transactions on Electron Devices16 citationsDOIOpen Access PDF

Abstract

The Cox–Strack method is commonly applied to assess the contact resistivity between a metal and a semiconductor since the 1960s, while the underlying assumptions have not yet been rigorously assessed. In this article, a combination of finite-element modeling and mathematical analysis is used to investigate the accuracy of the conventional Cox–Strack equation for generic metal–semiconductor junctions. A systematic error in the spreading resistance equation is quantified, and alternative, more accurate equations are presented. Furthermore, it is shown that commonly used experimental configurations can lead to highly overestimated contact resistivities. Guidelines are formulated for accurate extraction of the contact resistivity from the Cox–Strack measurements.

Topics & Concepts

Electrical resistivity and conductivityContact resistanceElectrical contactsSemiconductorFinite element methodMaterials scienceApplied mathematicsMechanicsMathematical analysisMathematicsPhysicsThermodynamicsOptoelectronicsNanotechnologyQuantum mechanicsLayer (electronics)Integrated Circuits and Semiconductor Failure AnalysisSemiconductor materials and interfacesSemiconductor materials and devices
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