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SCALING EXPONENTS AT THE TRANSITION BY BREAKING OF ANALYTICITY FOR INCOMMENSURATE STRUCTURES

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Abstract

A wide class of solid-state models support incommensurate structures. They are mostly given by either an analytic function in which case they are free to slide, or a discontinuous function in which case there is a non-zero minimum force required for depinning and a non-zero minimum phonon frequency. I propose that the boundary between these two types of state is given at least in part by the stable manifold of a fixed point of a renormalisation operator. This permits one to predict scaling laws for the depinning force, phonon gap, elasticity, effective mass and other quantities

Topics: QA, QC
Publisher: ELSEVIER SCIENCE BV
OAI identifier: oai:wrap.warwick.ac.uk:22656
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