{"paper":{"title":"Tensor-network study of quantum phase transition on Sierpi\\'nski fractal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrej Gendiar, Hana \\v{C}en\\v{c}arikov\\'a, Jozef Genzor, Roman Krcmar, Tomotoshi Nishino, Yoju Lee","submitted_at":"2017-11-30T14:04:21Z","abstract_excerpt":"The transverse-field Ising model on the Sierpi\\'nski fractal, which is characterized by the fractal dimension $\\log_2^{~} 3 \\approx 1.585$, is studied by a tensor-network method, the Higher-Order Tensor Renormalization Group. We analyze the ground-state energy and the spontaneous magnetization in the thermodynamic limit. The system exhibits the second-order phase transition at the critical transverse field $h_{\\rm c}^{~} = 1.865$. The critical exponents $\\beta \\approx 0.198$ and $\\delta \\approx 8.7$ are obtained. Complementary to the tensor-network method, we make use of the real-space renorma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11401","kind":"arxiv","version":3},"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"}