2017/12/31 by Davi R. Rodrigues, Ar. Abanov, Jairo Sinova +3 · 21 citations
Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Classical mechanics #Computer science #Condensed matter physics #Domain (mathematical analysis) #Domain wall (magnetism) #Excitation #Geometry #Magnetic Properties and Applications #Magnetic field #Magnetic properties of thin films #Mathematical analysis #Mathematics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Scaling #Skyrmion #Stability (learning theory) #Statistical physics #Theoretical physics #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.97.134414
published in Physical review. B./Physical review. B 97(13) (American Physical Society)
arxiv created 2018/03/27 · openalex publication_date 2018/04/17 · arxiv updated 2018/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The analysis of domain wall dynamics is often simplified to one-dimensional physics. For domain walls in thin films, more realistic approaches require the description as two-dimensional objects. This includes the study of vortices and curvatures along the domain walls as well as the influence of boundary effects. Here we provide a theory in terms of soft modes that allows us to analytically study the physics of extended domain walls and their stability. By considering irregularly shaped skyrmions as closed domain walls, we analyze their plasticity and compare their dynamics with those of circular skyrmions. Our theory directly provides an analytical description of the excitation modes of magnetic skyrmions, previously accessible only through sophisticated micromagnetic numerical calculations and spectral analysis. These analytical expressions provide the scaling behavior of the different physics on parameters that experiments can test.