Random field Ising model in a uniform magnetic field: Ground states, pinned clusters and scaling laws.

Eur Phys J E Soft Matter

School of Physical Sciences, Jawaharlal Nehru University, 110067, New Delhi, India.

Published: November 2017

In this paper, we study the random field Ising model (RFIM) in an external magnetic field h . A computationally efficient graph-cut method is used to study ground state (GS) morphologies in this system for three different disorder types: Gaussian, uniform and bimodal. We obtain the critical properties of this system and find that they are independent of the disorder type. We also study GS morphologies via pinned-cluster distributions, which are scale-free at criticality. The spin-spin correlation functions (and structure factors) are characterized by a roughness exponent [Formula: see text]. The corresponding scaling function is universal for all disorder types and independent of h.

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http://dx.doi.org/10.1140/epje/i2017-11584-6DOI Listing

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