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A geometric interpretation of the roughening transition in Ising models

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Abstract

Progress in the area of the Ising model roughening transition has previously been limited by the lack of a good definition for the interface separating the pure phases. In the present work, a graphical definition is introduced and it is shown that roughening occurs precisely when this interface fluctuates to infinity.

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Graham, R. A geometric interpretation of the roughening transition in Ising models. J Stat Phys 35, 473–488 (1984). https://doi.org/10.1007/BF01010821

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  • DOI: https://doi.org/10.1007/BF01010821

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