Two-dimensional Super-roughening in Three-dimensional Ising Model
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 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.
Cite
@article{arxiv.1912.01484,
title = {Two-dimensional Super-roughening in Three-dimensional Ising Model},
author = {Hor Dashti-Naserabadi and Abbas Ali Saberi and S. H. E. Rahbari and Hyunggyu Park},
journal= {arXiv preprint arXiv:1912.01484},
year = {2019}
}
Comments
5 pages, 6 figures, to appear in Phys. Rev E(Rapid Communication)