{"paper":{"title":"Insulator-Metal Transition in the One and Two-Dimensional Hubbard Models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"F.F. Assaad, M. Imada","submitted_at":"1995-10-16T07:50:17Z","abstract_excerpt":"We use Quantum Monte Carlo methods to determine $T=0$ Green functions, $G(\\vec{r}, \\omega)$, on lattices up to $16 \\times 16$ for the 2D Hubbard model at $U/t =4$. For chemical potentials, $\\mu$, within the Hubbard gap, $ |\\mu | < \\mu_c$, and at {\\it long} distances, $\\vec{r}$, $G(\\vec{r}, \\omega = \\mu) \\sim e^{ -|\\vec{r}|/\\xi_l}$ with critical behavior: $\\xi_l \\sim | \\mu - \\mu_c |^{-\\nu}$, $ \\nu = 0.26 \\pm 0.05$. This result stands in agreement with the assumption of hyperscaling with correlation exponent $\\nu = 1/4$ and dynamical exponent $z = 4$. In contrast, the generic band insulator as w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9510084","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9510084/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}