{"paper":{"title":"Density of states for almost diagonal random matrices","license":"","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.CD","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Oleg Yevtushenko, Vladimir E. Kravtsov","submitted_at":"2003-09-24T10:56:15Z","abstract_excerpt":"We study the density of states (DOS) for disordered systems whose spectral statistics can be described by a Gaussian ensemble of almost diagonal Hermitian random matrices. The matrices have independent random entries $ H_{i \\geq j}\n  $ with small off-diagonal elements: $ <|H_{i \\neq j}|^{2} > \\ll <|H_{ii}|^{2} > \\sim 1 $. Using the recently suggested method of a {\\it virial expansion in the number of interacting energy levels} (Journ.Phys.A {\\bf 36}, 8265), we calculate the leading correction to the Poissonian DOS in the cases of the Gaussian Orthogonal and Unitary Ensembles. We apply the gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309548","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"}