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.department | Department of Physics | |
dc.contributor.kuauthor | Işkın, Menderes | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T13:22:25Z | |
dc.date.issued | 2022 | |
dc.description.abstract | By 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.fulltext | YES | |
dc.description.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 2 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | TÜBİTAK | |
dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TÜBİTAK) | |
dc.description.version | Author's final manuscript | |
dc.description.volume | 105 | |
dc.identifier.doi | 10.1103/PhysRevA.105.023312 | |
dc.identifier.eissn | 2469-9934 | |
dc.identifier.embargo | NO | |
dc.identifier.filenameinventoryno | IR03597 | |
dc.identifier.issn | 2469-9926 | |
dc.identifier.quartile | Q1 | |
dc.identifier.scopus | 2-s2.0-85124640758 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/3322 | |
dc.identifier.wos | 754621000005 | |
dc.keywords | Inverse problems | |
dc.keywords | Quantum theory | |
dc.language.iso | eng | |
dc.publisher | American Physical Society (APS) | |
dc.relation.grantno | 1001-118F359 | |
dc.relation.ispartof | Physical Review A | |
dc.relation.uri | http://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10447 | |
dc.subject | Optics | |
dc.subject | Physics, atomic, molecular and chemical | |
dc.title | Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states in multiband lattices | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Işkın, Menderes | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Physics | |
relation.isOrgUnitOfPublication | c43d21f0-ae67-4f18-a338-bcaedd4b72a4 | |
relation.isOrgUnitOfPublication.latestForDiscovery | c43d21f0-ae67-4f18-a338-bcaedd4b72a4 | |
relation.isParentOrgUnitOfPublication | af0395b0-7219-4165-a909-7016fa30932d | |
relation.isParentOrgUnitOfPublication.latestForDiscovery | af0395b0-7219-4165-a909-7016fa30932d |
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