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arXiv · 1912.01484

Two-dimensional Super-roughening in Three-dimensional Ising Model

Hor Dashti-Naserabadi·Abbas Ali Saberi·S. H. E. Rahbari·Hyunggyu Park
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Abstract

We present a random-interface representation of the three-dimensional (3D) Ising model based on thermal fluctuations of a uniquely defined geometric spin cluster in the 3D model and its 2D cross section. Extensive simulations have been carried out to measure the global interfacial width as a function of temperature for different lattice sizes which is shown to signal the criticality of the model at $T_c$ by forming a size-independent cusp in 3D, along with an emergent super-roughening at its 2D cross section. We find that the super-rough state is accompanied by an intrinsic anomalous scaling behavior in the local properties characterized by a set of geometric exponents which are the same as those for a pure 2D Ising model.

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BibTeXRIS

Hor Dashti-Naserabadi, Abbas Ali Saberi, S. H. E. Rahbari, Hyunggyu Park. 2019-12-03. Two-dimensional Super-roughening in Three-dimensional Ising Model. https://doi.org/10.1103/physreve.100.060101

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