{"paper":{"title":"Stable Quantum Monte Carlo Algorithm for $T=0$ Calculation of Imaginary Time Green Functions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"F.F. Assaad, M. Imada","submitted_at":"1995-08-25T06:07:36Z","abstract_excerpt":"We present a numerically stable Quantum Monte Carlo algorithm to calculate zero-temperature imaginary-time Green functions $ G(\\vec{r}, \\tau) $ for Hubbard type models. We illustrate the efficiency of the algorithm by calculating the on-site Green function $ G(\\vec{r}=0, \\tau) $ on $4 \\times 4$ to $12 \\times 12$ lattices for the two-dimensional half-filled repulsive Hubbard model at $U/t = 4$. By fitting the tail of $ G(\\vec{r}=0, \\tau) $ at long imaginary time to the form $e^{-\\tau \\Delta_c}$, we obtain a precise estimate of the charge gap: $\\Delta_c = 0.67 \\pm 0.02$ in units of the hopping m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9508113","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/9508113/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"}