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Phys. Rev. Lett. 100, 044504 (2008) [4 pages]

Conformal Curves on the WO3 Surface

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A. A. Saberi, M. A. Rajabpour, and S. Rouhani
Department of Physics, Sharif University of Technology, P.O. Box 11155-9161, Tehran, Iran

Received 27 May 2007; revised 23 October 2007; published 29 January 2008

We have studied the isoheight lines on the WO3 surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invariant with the same statistics of domain walls in the critical Ising model. They belong to the family of conformal invariant curves called Schramm-Loewner evolution (or SLEκ), with diffusivity of κ∼3. This can be regarded as the first experimental observation of SLE curves. We have also argued that Ballistic Deposition (BD) can serve as a growth model giving rise to contours with similar statistics at large scales.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.044504
DOI:
10.1103/PhysRevLett.100.044504
PACS:
47.27.eb