{"paper":{"title":"A Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. J. Martinez-Mendoza, I. Varga, J. A. Mendez-Bermudez, V. A. Gopar","submitted_at":"2016-04-03T21:37:12Z","abstract_excerpt":"We perform a detailed numerical study of the conductance $G$ through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies $\\epsilon$ of the tight-binding Hamiltonian are characterized by long-tailed distributions: For large $\\epsilon$, $P(\\epsilon)\\sim 1/\\epsilon^{1+\\alpha}$ with $\\alpha\\in(0,2)$. Our model serves as a generalization of 1D Lloyd's model, which corresponds to $\\alpha=1$. First, we verify that the ensemble average $\\left\\langle -\\ln G\\right\\rangle$ is proportional to the length of the wire $L$ for all values of $\\alpha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00692","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"}