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Pinning and Tribology of Tethered Monolayers on Disordered Substrates

Carlo Carraro·David R. Nelson
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Abstract

We study the statistical mechanics and dynamics of crystalline films with a fixed internal connectivity on a random substrate. Defect free triangular lattices exhibit a sharp transition to a low temperature glassy phase with anomalous phonon fluctuations and a nonlinear force-displacement law with a continuously variable exponent, similar to the vortex glass phase of directed lines in 1+1 dimensions. The periodicity of the tethered monolayer acts like a filter which amplifies particular Fourier components of the disorder. However, the absence of annealed topological defects like dislocations is crucial: the transition is destroyed when the constraint of fixed connectivity is relaxed and dislocations are allowed to proliferate.

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Carlo Carraro, David R. Nelson. 1996-12-25. Pinning and Tribology of Tethered Monolayers on Disordered Substrates. https://doi.org/10.1103/physreve.56.797

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