Scattering Properties of Paramagnetic Ground States in the   Three-Dimensional Random-Field Ising Model
  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. 
Gaurav P. Shrivastav, Siddharth Krishnamoorthy, Varsha Banerjee and   Sanjay Puri
cond-mat.stat-mech cond-mat.dis-nn