Abstract
A general analytical expression for the size-dependent constriction (contact) resistance is obtained for non-quantum contacts of arbitrary size as a solution of Laplace’s equation with appropriate boundary conditions. The new analytical expression contains both the Holm resistance and the Sharvin resistance as the asymptotic limits for the respective large and small contact sizes relative to the mean free path of electrons. This first general theoretical result is fully supported by available experimental data on the pressure dependence of contact resistance.
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