Low-energy excitations in the three-dimensional random-field Ising model

2009/07/28 by Martin Zumsande, M. Zumsande, Alexander K. Hartmann +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Energy (signal processing) #Field (mathematics) #Gaussian #Ground state #Ising model #Ising spin #Mathematics #Physics #Quantum mechanics #Random field #Spins #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2009-00410-2

10 pages, 9 figures

arxiv created 2009/07/28 · openalex publication_date 2009/12/01 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The random-field Ising model (RFIM), one of the basic models for quenched disorder, can be studied numerically with the help of efficient ground-state algorithms. In this study, we extend these algorithm by various methods in order to analyze low-energy excitations for the three-dimensional RFIM with Gaussian distributed disorder that appear in the form of clusters of connected spins. We analyze several properties of these clusters. Our results support the validity of the droplet-model description for the RFIM.

Citations

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