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Here, we show rigorously that pseudospin-1 systems exhibit non-universal critical behaviors when they are subjected to 1D random potentials. In such systems, we find that $\\xi\\propto \\lambda^m$ with $m$ depending on the type of disorder. For binary disorder, $m=6$ and the fast divergence is due to a super-Klein-tunneling effect ("},"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":"1712.06798","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-12-19T06:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"a56329c15b54947696e5769bb9e66bacbc76ffae650c1f768bafeab79d8d9370","abstract_canon_sha256":"73d48461a9ab8626ac74f12c5ebdce924604655321f4b5abb0566f9aee6908a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:11.908997Z","signature_b64":"gjeUQLra6Kf7HsfwPIWQAql7wdFeH55qXqEtrrjOVFpE3cPChiUxGg1zgtek1eXCFqUa2benIT+YS45ixWiJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7edbe4a2d2d9af9909cca7374ceecadc3fb617a3133560768cbfa0870114fde5","last_reissued_at":"2026-05-17T23:48:11.908290Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:11.908290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Universal Critical Behaviors in Disordered Pseudospin-1 Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. Fang, C. T. Chan, Steven G. Louie, Z. Q. Zhang","submitted_at":"2017-12-19T06:27:05Z","abstract_excerpt":"It is well known that for ordinary one-dimensional (1D) disordered systems, the Anderson localization length $\\xi$ diverges as $\\lambda^m$ in the long wavelength limit ($\\lambda\\rightarrow \\infty$ ) with a universal exponent $m=2$, independent of the type of disorder. Here, we show rigorously that pseudospin-1 systems exhibit non-universal critical behaviors when they are subjected to 1D random potentials. In such systems, we find that $\\xi\\propto \\lambda^m$ with $m$ depending on the type of disorder. 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