Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model
Statistical Mechanics
2015-05-30 v1 Disordered Systems and Neural Networks
Abstract
We study the ground-state (T = 0) morphologies in the d = 3 random-field Ising model (RFIM) using a computationally efficient graph-cut method. We focus on paramagnetic states which arise for disorder strengths \Delta > \Delta c, where \Delta c is the critical disorder strength at T = 0. These paramagnetic states consist of correlated "domains" of up and down spins which are separated by rough, fractal interfaces. They show novel scattering properties with a cusp singularity in the correlation function at short distances.
Keywords
Cite
@article{arxiv.1109.3672,
title = {Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model},
author = {Gaurav P. Shrivastav and Siddharth Krishnamoorthy and Varsha Banerjee and Sanjay Puri},
journal= {arXiv preprint arXiv:1109.3672},
year = {2015}
}
Comments
10 pages, 6 figures, Accepted for publication in Europhysics Letters