{"paper":{"title":"Defect induced melting of vortices in high-${\\bf T_c} $ superconductors: A model based on continuum elasticity theory","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"H. Kleinert, J. Dietel","submitted_at":"2005-11-29T18:42:55Z","abstract_excerpt":"We set up a melting model for vortex lattices in high-temperature superconductors based on the continuum elasticity theory. The model is Gaussian and includes defect fluctuations by means of a discrete-valued vortex gauge field. We derive the melting temperature of the lattice and predict the size of the Lindemann number. Our result agrees well with experiments for $ {\\rm YBa}_2 {\\rm Cu}_3 {\\rm O}_{7-\\delta} $, and with modifications also for $ {\\rm Bi}_2 {\\rm Sr}_2 {\\rm Ca} {\\rm Cu}_2 {\\rm O}_8 $ . We calculate the jumps in the entropy and the magnetic induction at the melting transition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0511710","kind":"arxiv","version":2},"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"}