Geometrical Phase Transition on WO$_3$ Surface

Details Geometrical Phase Transition on WO$_3$ Surface Geometrical Phase Transition on WO$_3$ Surface

2010-09-24

arxiv.org/abs/1009.4924v1

Appl. Phys. Lett. 97, 154102 (2010)

Physics

Condensed Matter

Statistical Mechanics

3 pages, 4 figures, to appear in Applied Physics Letters (2010)

Scientific paper

10.1063/1.3502568

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 $\delta_c$ 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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