{"paper":{"title":"Ground states for a class of deterministic spin models with glassy behaviour","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Bologna, F.Unguendoli (Dipartimento di Matematica, I.Borsari, Italia), S.Graffi, Universit\\`a di Bologna","submitted_at":"1995-11-03T15:02:54Z","abstract_excerpt":"We consider the deterministic model with glassy behaviour, recently introduced by Marinari, Parisi and Ritort, with \\ha\\ $H=\\sum_{i,j=1}^N J_{i,j}\\sigma_i\\sigma_j$, where $J$ is the discrete sine Fourier transform. The ground state found by these authors for $N$ odd and $2N+1$ prime is shown to become asymptotically dege\\-ne\\-ra\\-te when $2N+1$ is a product of odd primes, and to disappear for $N$ even. This last result is based on the explicit construction of a set of eigenvectors for $J$, obtained through its formal identity with the imaginary part of the propagator of the quantized unit symp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9511019","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"}