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

Autor:	S. H. E. Rahbari, Hyunggyu Park, Abbas Ali Saberi, H. Dashti-Naserabadi
Rok vydání:	2019
Předmět:	Physics Criticality Statistical Mechanics (cond-mat.stat-mech) Lattice (order) Thermal fluctuations FOS: Physical sciences Ising model 3d model Statistical physics Computational Physics (physics.comp-ph) Physics - Computational Physics Scaling Condensed Matter - Statistical Mechanics
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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