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Chern numbers for the two-body Hofstadter-Hubbard butterfly

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dc.contributor.departmentDepartment of Physics
dc.contributor.departmentDepartment of Chemistry
dc.contributor.kuauthorAlyürük, Doruk Can
dc.contributor.kuauthorIşkın, Menderes
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-12-29T09:39:28Z
dc.date.issued2024
dc.description.abstractWe analyze the two -body spectrum within the Hofstadter-Hubbard model on a square lattice through an exact variational ansatz and study the topological properties of its low-lying two -body bound -state branches. In particular, we discuss how the Hofstadter-Hubbard butterfly of the two -body branches evolves as a function of onsite interactions and how to efficiently calculate their Chern numbers using the Fukui-Hatsugai-Suzuki approach. Our numerical results are fully consistent with the simple picture that appears in the strong -coupling limit, where the attraction between fermions forms a composite boson characterized by an effective hopping parameter and an effective magnetic -flux ratio.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessGreen Submitted
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipThe author acknowledges funding from U.S. Air Force Office of Scientific Research (AFOSR) Grant No. FA8655-24-1-7391.
dc.description.volume109
dc.identifier.doi10.1103/PhysRevB.109.035149
dc.identifier.eissn2469-9969
dc.identifier.issn2469-9950
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85183315090
dc.identifier.urihttps://doi.org/10.1103/PhysRevB.109.035149
dc.identifier.urihttps://hdl.handle.net/20.500.14288/22989
dc.identifier.wos1173653700005
dc.keywordsSuperconductor science
dc.keywordsTopological insulators
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.ispartofPhysical Review B
dc.rightsCC BY-NC-ND (Attribution-NonCommercial-NoDerivs)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMaterials science
dc.subjectPhysics, applied
dc.subjectPhysics, condensed matter
dc.titleChern numbers for the two-body Hofstadter-Hubbard butterfly
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorIşkın, Menderes
local.contributor.kuauthorAlyürük, Doruk Can
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics;Department of Chemistry
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