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Both $T_c$ and superfluid density $n_s$, $\\propto \\lambda^{-2}$, decrease with overdoping. They obey the scaling relation $T_c \\propto [\\lambda^{-2}(0)]^{\\alpha}$ with $\\alpha \\approx 1/2$. We discuss this result in the frameworks of disordered d-wave superconductors and of scaling near quantum critical points. Our result, and the linear scaling ($\\alpha \\approx 1$) found for the more anisotropic $Tl_2Ba_2CuO_{6+\\delta}$, can both "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1010.1243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-10-06T19:41:38Z","cross_cats_sorted":[],"title_canon_sha256":"4e51ac614505609c70029f6a8304881f66bcefa9df3889cce1d8dde68c041de2","abstract_canon_sha256":"06a1af4c70f32c1c1e6d3bde4c6e61d14c73bf360c02e13708a15caae3dd2eb1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:10.395734Z","signature_b64":"1gilEN1ZbdJtA4nusOdLFBhw9MQVJjOnM8RxpvBTQIdXgp1rzBq74NBJGtBsfMAlkWmvbVQh1RNSqHdW1tKDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04cd13282ac93bec8503b9afc5e252b8570df99727c3fc284cc9f18b5c792280","last_reissued_at":"2026-05-18T02:05:10.395024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:10.395024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superconductor-to-Metal Quantum Phase Transition in Overdoped $La_{2-x}Sr_xCuO_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"A. Tsukada, I. Hetel, M. Naito, M. Randeria, T.R. Lemberger","submitted_at":"2010-10-06T19:41:38Z","abstract_excerpt":"We investigate $T_c$ and magnetic penetration depth $\\lambda (T)$ near the superconductor-metal quantum phase transition in overdoped $La_{2-x}Sr_{x}CuO_{4}$ films. Both $T_c$ and superfluid density $n_s$, $\\propto \\lambda^{-2}$, decrease with overdoping. They obey the scaling relation $T_c \\propto [\\lambda^{-2}(0)]^{\\alpha}$ with $\\alpha \\approx 1/2$. We discuss this result in the frameworks of disordered d-wave superconductors and of scaling near quantum critical points. 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