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arXiv · 1009.4924

Geometrical Phase Transition on WO$_3$ Surface

Abbas Ali Saberi
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Abstract

A topographical study on an ensemble of height profiles obtained from atomic force microscopy techniques on various independently grown samples of tungsten oxide WO$_3$ is presented by using ideas from percolation theory. We find that a continuous 'geometrical' phase transition occurs at a certain critical level-height $δ_c$ below which an infinite island appears. By using the finite-size scaling analysis of three independent percolation observables i.e., percolation probability, percolation strength and the mean island-size, we compute some critical exponents which characterize the transition. Our results are compatible with those of long-range correlated percolation. This method can be generalized to a topographical classification of rough surface models.

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Abbas Ali Saberi. 2010-09-24. Geometrical Phase Transition on WO$_3$ Surface. https://doi.org/10.1063/1.3502568

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