{"paper":{"title":"Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Akihiro Tanaka, Yusuke Kato","submitted_at":"1994-01-25T11:37:31Z","abstract_excerpt":"We study the $S=1$ quantum spin chain with bond alternation ${\\cal H}=\\sum _i (1-(-1)^i\\delta)\\vect{S}_i\\cdot \\vect{S}_{i+1}$ by the density matrix renormalization group method recently proposed by Steven R. White (\\PRL{69}{3844}{1993}).  We find a massless point at $\\delta _c =0.25 \\pm 0.01$. We also find the edge states in the region $\\delta <\\delta_c$ under the open boundary condition, which disappear in the region $\\delta >\\delta _{c}$. At the massless point, the spin wave velocity $v_s$ is $3.66 \\pm 0.10$ and the central charge $c$ is $1.0\\pm 0.15$. Our results indicate that a continuous "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9401053","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"}