{"paper":{"title":"Giant vortices in the Ginzburg-Landau description of superconductivity","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Ana\\\"el Lema\\^itre, Kirone Mallick, Vincent Hakim","submitted_at":"2001-12-21T14:35:56Z","abstract_excerpt":"Recent experiments on mesoscopic samples and theoretical considerations lead us to analyze multiply charged ($n>1$) vortex solutions of the Ginzburg-Landau equations for arbitrary values of the Landau-Ginzburg parameter $\\kappa$. For $n\\gg 1$, they have a simple structure and a free energy ${\\cal F}\\sim n$.\n  In order to relate this behaviour to the classic Abrikosov result ${\\cal F}\\sim n^2$ when $\\kappa\\to +\\infty$, we consider the limit where both $n\\gg 1$ and $\\kappa\\gg1$, and obtain a scaling function of the variable $\\kappa/n$ that describes the cross-over between these two behaviours of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112413","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}