{"paper":{"title":"Level compressibility in a critical random matrix ensemble: The second virial coefficient","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"cond-mat.dis-nn","authors_text":"Emilio Cuevas, Oleg Yevtushenko, Vladimir E. Kravtsov","submitted_at":"2005-10-14T09:19:03Z","abstract_excerpt":"We study spectral statistics of a Gaussian unitary critical ensemble of almost diagonal Hermitian random matrices with off-diagonal entries $<|H_{ij}|^{2} > \\sim b^{2} |i-j|^{-2}$ small compared to diagonal ones $<|H_{ii}|^{2} > \\sim 1$. Using the recently suggested method of {\\it virial expansion} in the number of interacting energy levels (J.Phys.A {\\bf 36},8265 (2003)), we calculate a coefficient $\\propto b^{2}\\ll 1$ in the level compressibility $\\chi(b)$. We demonstrate that only the leading terms in $\\chi(b)$ coincide for this model and for an exactly solvable model suggested by Moshe, Ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0510378","kind":"arxiv","version":3},"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"}