{"@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/1360021390582358400.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1093/ptep/ptad023"}},{"identifier":{"@type":"URI","@value":"https://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptad023/49281682/ptad023.pdf"}},{"identifier":{"@type":"URI","@value":"https://academic.oup.com/ptep/article-pdf/2023/3/033B05/49623224/ptad023.pdf"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.2212.11583"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Curved domain-wall fermion and its anomaly inflow"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title><jats:p>We investigate the effect of a U(1) gauge field on lattice fermion systems with a curved domain-wall mass term. In the same way as the conventional flat domain-wall fermion, the chiral edge modes appear localized at the wall, whose Dirac operator contains the induced gravitational potential as well as the U(1) vector potential. In the case of anS1 domain-wall fermion on a two-dimensional flat lattice, we find a competition between the Aharonov–Bohm(AB) effect and a gravitational gap in the Dirac eigenvalue spectrum, which leads to an anomaly inthe time-reversal (T) symmetry. Our numerical result shows a good consistency with the Atiyah–Patodi–Singer index theorem on a disk inside the S1 domain wall, which describes the cancellation of the T anomaly between the bulk and edge. When the U(1) flux is squeezed inside one plaquette, and the AB phase takes a quantized value π mod $2\\pi \\mathbb {Z}$, the anomaly inflow drastically changes: the strong flux creates another domain wall around the flux to make the two zero modes coexist. This phenomenon is also observed in the S2 domain-wall fermion in the presence of a magnetic monopole. We find that the domain-wall creation around the monopole microscopically explains the Witten effect.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380021390582358539","@type":"Researcher","foaf:name":[{"@value":"Shoto Aoki"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, Osaka University , Toyonaka, Osaka 560-0043 , Japan"}]},{"@id":"https://cir.nii.ac.jp/crid/1380021390582358422","@type":"Researcher","foaf:name":[{"@value":"Hidenori Fukaya"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, Osaka University , Toyonaka, Osaka 560-0043 , Japan"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"20503911"}],"prism:publicationName":[{"@value":"Progress of Theoretical and Experimental Physics"}],"dc:publisher":[{"@value":"Oxford University Press (OUP)"}],"prism:publicationDate":"2023-02-20","prism:volume":"2023","prism:number":"3","prism:startingPage":"033B05"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["https://creativecommons.org/licenses/by/4.0/"],"url":[{"@id":"https://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptad023/49281682/ptad023.pdf"},{"@id":"https://academic.oup.com/ptep/article-pdf/2023/3/033B05/49623224/ptad023.pdf"}],"createdAt":"2023-02-21","modifiedAt":"2023-03-24","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Theory","dc:title":"High Energy Physics - Theory"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Lattice","dc:title":"High Energy Physics - Lattice"},{"@id":"https://cir.nii.ac.jp/all?q=Condensed%20Matter%20-%20Mesoscale%20and%20Nanoscale%20Physics","dc:title":"Condensed Matter - Mesoscale and Nanoscale Physics"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Theory%20(hep-th)","dc:title":"High Energy Physics - Theory (hep-th)"},{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Lattice%20(hep-lat)","dc:title":"High Energy Physics - Lattice (hep-lat)"},{"@id":"https://cir.nii.ac.jp/all?q=Mesoscale%20and%20Nanoscale%20Physics%20(cond-mat.mes-hall)","dc:title":"Mesoscale and Nanoscale Physics (cond-mat.mes-hall)"},{"@id":"https://cir.nii.ac.jp/all?q=FOS:%20Physical%20sciences","dc:title":"FOS: Physical sciences"}],"project":[{"@id":"https://cir.nii.ac.jp/crid/1040581301855402368","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"23K22490"},{"@type":"JGN","@value":"JP23K22490"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K22490/"}],"notation":[{"@language":"ja","@value":"ドメインウォールフェルミオンで理解する指数定理"},{"@language":"en","@value":"Study of index theorems with domain-wall fermions"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050303564712705792","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Spherical topological insulator"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011143818348160","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Axial symmetries in lattice QCD with Kaplan fermions"}]},{"@id":"https://cir.nii.ac.jp/crid/1360013172566602880","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Topological fermion condensates from anomalies"}]},{"@id":"https://cir.nii.ac.jp/crid/1360017285494411136","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Fermion-monopole system reexamined"}]},{"@id":"https://cir.nii.ac.jp/crid/1360021396130704640","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Fermion-monopole system reexamined. 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