{"paper":{"title":"Diamagnetism and the dispersion of the magnetic permeability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Christopher A. Dirdal, Johannes Skaar","submitted_at":"2014-10-22T11:16:48Z","abstract_excerpt":"It is well known that the usual Kramers--Kronig relations for the relative permeability function $\\mu(\\omega)$ are not compatible with diamagnetism ($\\mu(0)<1$) and a positive imaginary part ($\\text{Im}\\,\\mu(\\omega)>0$ for $\\omega>0$). We demonstrate that a certain physical meaning can be attributed to $\\mu$ for all frequencies, and that in the presence of spatial dispersion, $\\mu$ does not necessarily tend to 1 for high frequencies $\\omega$ and fixed wavenumber $\\mathbf k$. Taking the asymptotic behavior into account, diamagnetism can be compatible with Kramers--Kronig relations even if the i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5999","kind":"arxiv","version":4},"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"}