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Vertex Dynamics in Finite Two-Dimensional Square Spin Ices

2010/04/30 by Zoe Budrikis, Paolo Politi, R. L. Stamps
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.105.017201

published as Phys. Rev. Lett. 105, 017201 (2010) · 4 pages, 4 figures; v2: minor changes to text and figures. Accepted to Phys. Rev. Lett

arxiv created 2010/06/05 · openalex publication_date 2010/06/28 · arxiv updated 2010/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Local magnetic ordering in artificial spin ices is discussed from the point of view of how geometrical frustration controls dynamics and the approach to steady state. We discuss the possibility of using a particle picture based on vertex configurations to interpret the time evolution of magnetic configurations. Analysis of possible vertex processes allows us to anticipate different behaviors for open and closed edges and the existence of different field regimes. Numerical simulations confirm these results and also demonstrate the importance of correlations and long-range interactions in understanding particle population evolution. We also show that a mean-field model of vertex dynamics gives important insights into finite size effects.

Citations