Geometrical Phase Transition on WO${}_3$ Surface

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 ${\delta }_c$ 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.

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

References in corpus (1)

• Conformal Curves on $W{O}_3$ Surface

Cited by in corpus (1)

• Three Dimensional Ising Model, Percolation Theory and Conformal Invariance