1997/04/25 by Andrew D. Rutenberg, W. J. Zakrzewski, Wojtek J. Zakrzewski +1 · 10 citations
Mathematics · Physics and Astronomy · #Charge (physics) #Combinatorics #Condensed matter physics #Geometry #Mathematics #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Scaling #Simple (philosophy) #Skyrmion #Spectrum (functional analysis) #Statistical physics #Theoretical and Computational Physics #Topological quantum number #Topology (electrical circuits) #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i1997-00312-y
published in Europhysics Letters (EPL) 39(1), 49-54 (Institute of Physics) · 8 pages, includes 4 figures. Submitted to Europhysics Letters
arxiv created 1997/04/25 · openalex publication_date 1997/07/01 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Strong dynamical scaling violations exist in quenched two-dimensional systems with vector O(3) order parameters. These systems support non-singular topologically stable configurations (skyrmions). By tuning the stability of isolated skyrmions to expand or shrink, we find dramatic differences in the dynamical multiscaling spectrum of decaying moments ⟨|ρ| n ⟩ of the topological charge density distribution and in particular in the decay of the energy density ∼ ⟨|ρ|⟩. We present a simple two–length-scale model for the observed exponents in the case when isolated skyrmions expand. No such simple model is found when isolated skyrmions shrink.