{ "id": "2103.13036", "version": "v1", "published": "2021-03-24T07:43:10.000Z", "updated": "2021-03-24T07:43:10.000Z", "title": "Skyrmion size in skyrmion crystals", "authors": [ "H. T. Wu", "X. C. Hu", "K. Y. Jing", "X. R. Wang" ], "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "A magnetic skyrmion is a topological object that can exist as a solitary embedded in the vast ferromagnetic phase, or coexists with a group of its \"siblings\" in various stripy phases as well as skyrmion crystals (SkXs). Isolated skyrmions and skyrmions in an SkX are circular while a skyrmion in other phases is a stripe of various forms. Unexpectedly, the sizes of the three different types of skyrmions depend on material parameters differently. For chiral magnetic films with exchange stiffness constant $A$, the Dzyaloshinskii-Moriya interaction (DMI) strength $D$, and perpendicular magnetic anisotropy $K$, $\\kappa\\equiv\\pi^2D^2/(16AK)=1$ separates isolated skyrmions from condensed skyrmion states. In contrast to isolated skyrmions whose size increases with $D/K$ and is insensitive to $\\kappa\\ll1$ and stripe skyrmions whose width increases with $A/D$ and is insensitive to $\\kappa\\gg1$, the size of skyrmions in SkXs is inversely proportional to the square root of skyrmion number density and decreases with $A/D$. This finding has important implications in our search for stable smaller skyrmions at the room temperature in applications.", "revisions": [ { "version": "v1", "updated": "2021-03-24T07:43:10.000Z" } ], "analyses": { "keywords": [ "skyrmion crystals", "skyrmion size", "isolated skyrmions", "skyrmion number density", "chiral magnetic films" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }