Two-dimensional Super-roughening in Three-dimensional Ising Model
Autor: | S. H. E. Rahbari, Hyunggyu Park, Abbas Ali Saberi, H. Dashti-Naserabadi |
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Rok vydání: | 2019 |
Předmět: | |
DOI: | 10.48550/arxiv.1912.01484 |
Popis: | 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. Comment: 5 pages, 6 figures, to appear in Phys. Rev E(Rapid Communication) |
Databáze: | OpenAIRE |
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