{"paper":{"title":"Near Critical States of Random Dirac Fermions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Univ. of Tokyo), Yasuhiro Hatsugai (Applied Physics, Yoshifumi Morita","submitted_at":"1997-05-20T08:48:00Z","abstract_excerpt":"Random Dirac fermions in a two-dimensional space are studied numerically. We realize them on a square lattice using the $\\pi$-flux model with random hopping. The system preserves two symmetries, the time-reversal symmetry and the symmetry denoted by ${{\\cal H},\\gamma}=0$ with a $4\\times 4$ matrix $\\gamma $ in an effective field theory. Although it belongs to the orthogonal ensemble, the zero-energy states do not localize and become critical. The density of states vanishes at zero energy as $\\sim E^{\\alpha}$ and the exponent $\\alpha$ changes with strength of the randomness, which implies the ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9705192","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"}