Publication:
Three-body problem in a multiband Hubbard model

dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorIşkın, Menderes
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T13:19:05Z
dc.date.issued2022
dc.description.abstractWe consider the three-body problem in a generic multiband lattice, and analyze the dispersion of the trimer states that are made of two spin-up arrow fermions and a spin-down arrow fermion due to an on-site attraction in between. Based on a variational approach, we first obtain the exact solution in the form of a set of coupled integral equations, and then reduce it to an eigenvalue problem. As an illustration we apply our theory to the sawtooth lattice, and numerically show that energetically stable trimers are allowed in a two-band setting, which is in sharp contrast with the single-band linear-chain model. In particular, we also reveal that the trimers have a nearly flat dispersion when formed in a flat band, which is unlike the highly dispersive spectrum of its dimers.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue6
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.versionAuthor's final manuscript
dc.description.volume105
dc.identifier.doi10.1103/PhysRevA.105.063310
dc.identifier.eissn2469-9934
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR03844
dc.identifier.issn2469-9926
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-85133360294
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3079
dc.identifier.wos812346700011
dc.keywordsDispersions
dc.keywordsEigenvalues and eigenfunctions
dc.keywordsIntegral equations
dc.keywordsLattice theory
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.relation.grantnoNA
dc.relation.ispartofPhysical Review A
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10702
dc.subjectOptics
dc.subjectPhysics, Atomic, Molecular and chemical
dc.titleThree-body problem in a multiband Hubbard model
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorIşkın, Menderes
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
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