{"paper":{"title":"Many-Body-Localization Transition : sensitivity to twisted boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus","submitted_at":"2016-07-04T06:55:33Z","abstract_excerpt":"For disordered interacting quantum systems, the sensitivity of the spectrum to twisted boundary conditions depending on an infinitesimal angle $\\phi$ can be used to analyze the Many-Body-Localization Transition. The sensitivity of the energy levels $E_n(\\phi)$ is measured by the level curvature $K_n=E_n\"(0)$, or more precisely by the Thouless dimensionless curvature $k_n=K_n/\\Delta_n$, where $\\Delta_n$ is the level spacing that decays exponentially with the size $L$ of the system. For instance $\\Delta_n \\propto 2^{-L}$ in the middle of the spectrum of quantum spin chains of $L$ spins, while th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00750","kind":"arxiv","version":2},"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"}