{"paper":{"title":"Statistics of Mesoscopic Fluctuations of Quantum Capacitance","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"A. M. Jayannavar, N. Kumar","submitted_at":"1996-07-05T07:28:17Z","abstract_excerpt":"The Thouless formula \\(G = (e^2/h)(E_c/\\Delta)\\) for the two-probe dc conductance $G$ of a d-dimensional mesoscopic cube is re-analysed to relate its quantum capacitance $C_Q$ to the reciprocal of the level spacing $\\Delta$. To this end, the escape time-scale $\\tau$ occurring in the Thouless correlation energy \\(E_c = \\hbar/\\tau\\) is interpreted as the {\\em time constant} \\(\\tau = RC_Q\\) with $RG \\equiv$ 1, giving at once \\(C_Q = (e^2/2\\pi \\Delta)\\). Thus, the statistics of the quantum capacitance is directly related to that of the level spacing, which is well known from the Random Matrix Theo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9607042","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"}