Non-conserved dynamics of steps on vicinal surfaces during electromigration-induced step bunching

preprint2012arXivOpen access

Abstract

We report new results on the non-conserved dynamics of parallel steps on vicinal surfaces in the case of sublimation with electromigration and step-step interactions. The derived equations are valid in the quasistatic approximation and in the limit f−1≫lD≫l±≫lif^{-1}\gg l_D\gg l_{\pm} \gg l_i, where ff is the inverse electromigration length, lDl_D the diffusion length, l±l_{\pm} the kinetic lengths and lil_i the terrace widths. The coupling between crystal sublimation and step-step interactions induces non-linear, non-conservative terms in the equations of motion. Depending on the initial conditions, this leads to interrupted coarsening, anticoarsening of step bunches or periodic switching between step trains of different numbers of bunches.

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