{"paper":{"title":"Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Adam Rycerz, Grzegorz Rut","submitted_at":"2014-07-07T12:27:36Z","abstract_excerpt":"We study the ballistic conductivity of graphene bilayer in the presence of next-nearest neighbor hoppings between the layers. An undoped and unbiased system was found in Ref. [1] to show a nonuniversal (length-dependent) conductivity $\\sigma(L)$, approaching the value of $\\sigma_\\star=3/\\pi\\simeq{}0.95$ for large $L$. Here we demonstrate one-parameter scaling and determine the scaling function $\\beta(\\sigma)=d\\ln{}\\!\\sigma/d\\ln{}\\!L$. The scaling flow has an attractive fixed point [$\\,\\beta(\\sigma_\\star)=0$, $\\beta'(\\sigma_\\star)<0\\,$] reproducing the scenario predicted for random impurity sca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1684","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"}