{"paper":{"title":"Soft modes, Gaps and Magnetization Plateaus in 1D Spin-1/2 Antiferromagnetic Heisenberg Models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Fledderjohann, C. Gerhardt, K.-H. M\\\"utter, M. Karbach, R. Wie{\\ss}ner","submitted_at":"1998-10-21T09:39:11Z","abstract_excerpt":"We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\\delta$. The latter generates a magnetization plateau at $M=(1-q/\\pi)/2$, which evolves with strength $\\delta$ of the perturbation as $\\delta^{\\epsilon}$, where $\\epsilon=\\epsilon(h_{3},\\alpha)$ is related to the $\\eta$-exponent which describes the critical behavior of the dimer structure factor, if the perturbation is switched of ($\\delta=0$). We also discuss the appearance of magnetization plateaus in l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810272","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"}