Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model

Details Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model

2011-09-16

arxiv.org/abs/1109.3672v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures, Accepted for publication in Europhysics Letters

Scientific paper

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.

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