Critical interfaces and duality in the Ashkin Teller model

Marco Picco; Raoul Santachiara

doi:10.1103/physreve.83.061124

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arXiv · 1011.1159

Critical interfaces and duality in the Ashkin Teller model

Marco Picco·Raoul Santachiara

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Abstract

We report on the numerical measures on different spin interfaces and FK cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find that the fractal dimension of a generic spin cluster interface can take one of four different possible values. In particular we found spin interfaces whose fractal dimension is d_f=3/2 all along the critical line. Further, the fractal dimension of the boundaries of FK clusters were found to satisfy all along the AT critical line a duality relation with the fractal dimension of their outer boundaries. This result provides a clear numerical evidence that such duality, which is well known in the case of the O(n) model, exists in a extended CFT.

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Marco Picco, Raoul Santachiara. 2010-11-04. Critical interfaces and duality in the Ashkin Teller model. https://doi.org/10.1103/physreve.83.061124

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