{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360861707361726080.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1103/physrevb.106.144436"}},{"identifier":{"@type":"URI","@value":"https://link.aps.org/article/10.1103/PhysRevB.106.144436"}},{"identifier":{"@type":"URI","@value":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevB.106.144436/fulltext"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.2205.15525"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip"}],"description":[{"notation":[{"@value":"We study a three-leg spin-1/2 ladder with geometrically frustrated interleg interactions. We call this model an anisotropic triangular-strip (ATS) model. We numerically and field-theoretically show that its ground state belongs to a gapless symmetry-protected topological (SPT) phase. The numerical approach is based on density-matrix renormalization group analyses of the entanglement entropy and the entanglement spectrum. Whereas the entanglement entropy exhibits a critical behavior, the entanglement spectrum is nontrivially degenerate. These entanglement properties imply that the ground state is a gapless topological phase. We investigate the ATS model using a quantum field theory to support the numerical findings. When the frustrated interchain interaction is deemed a perturbation acting on the three spin chains, the frustrated interchain interaction almost isolates the second chain from the other two chains. However, at the same time, the second chain mediates a ferromagnetic interaction between the first and third chains. Therefore, the ground state of the ATS model is a gapless Tomonaga-Luttinger liquid weakly coupled to a spin-1 Haldane chain with irrelevant interactions. Last but not least, we show that the gapless SPT phase of the ATS model is a symmetry-protected critical phase. We point out that the symmetry protection of criticality is essential in characterization of the gapless SPT phase."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380861707361726082","@type":"Researcher","foaf:name":[{"@value":"Yuichiro Hidaka"}]},{"@id":"https://cir.nii.ac.jp/crid/1380861707361726080","@type":"Researcher","foaf:name":[{"@value":"Shunsuke C. Furuya"}]},{"@id":"https://cir.nii.ac.jp/crid/1380861707361726208","@type":"Researcher","foaf:name":[{"@value":"Atsushi Ueda"}]},{"@id":"https://cir.nii.ac.jp/crid/1420001326229753088","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"20609937"},{"@type":"NRID","@value":"1000020609937"},{"@type":"NRID","@value":"9000401902020"},{"@type":"NRID","@value":"9000006695026"},{"@type":"NRID","@value":"9000346925946"},{"@type":"NRID","@value":"9000022410465"},{"@type":"NRID","@value":"9000403425605"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/YasuhiroTada"}],"foaf:name":[{"@value":"Yasuhiro Tada"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"24699950"},{"@type":"EISSN","@value":"24699969"}],"prism:publicationName":[{"@value":"Physical Review B"}],"dc:publisher":[{"@value":"American Physical Society 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