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- Title
Random field Ising model in a uniform magnetic field: Ground states, pinned clusters and scaling laws.
- Authors
Kumar, Manoj; Banerjee, Varsha; Puri, Sanjay
- Abstract
Abstract.: 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 $ \alpha \simeq 0.5$ . The corresponding scaling function is universal for all disorder types and independent of h. Graphical abstract:
- Subjects
RANDOM fields; MAGNETIC after effect; GROUND state (Quantum mechanics); CLUSTER analysis (Statistics); SCALING laws (Statistical physics); SPIN-spin coupling constants
- Publication
European Physical Journal E -- Soft Matter, 2017, Vol 40, Issue 11, p1
- ISSN
1292-8941
- Publication type
Article
- DOI
10.1140/epje/i2017-11584-6