Publication:
Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states in multiband lattices

dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorIşkın, Menderes
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T13:22:25Z
dc.date.issued2022
dc.description.abstractBy considering an on-site attraction between a spin-up arrow and a spin-down arrow fermion in a multiband tight-binding lattice, here we study the two-body spectrum and derive an exact relation between the inverse of the effective-mass tensor of the lowest bound states and the quantum-metric tensor of the underlying Bloch states. In addition to the intraband (or the so-called conventional) contribution that depends only on the single-particle spectrum and the interband (or the so-called geometric) contribution that is controlled by the quantum metric, our generalized relation has an additional interband contribution that depends on the so-called band-resolved quantum metric. All of our analytical expressions are applicable to those multiband lattices that simultaneously exhibit time-reversal symmetry and fulfill the condition on spatially uniform pairing. As a nontrivial illustration we analyze the two body problem in a Kagome lattice with nearest-neighbor hoppings, and we show that the exact relation provides a perfect benchmark.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue2
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.105.023312
dc.identifier.eissn2469-9934
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR03597
dc.identifier.issn2469-9926
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-85124640758
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3322
dc.identifier.wos754621000005
dc.keywordsInverse problems
dc.keywordsQuantum theory
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.relation.grantno1001-118F359
dc.relation.ispartofPhysical Review A
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10447
dc.subjectOptics
dc.subjectPhysics, atomic, molecular and chemical
dc.titleEffective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states in multiband lattices
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorIşkın, Menderes
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
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