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dc.contributor.authorRhodes, Luke C.
dc.contributor.authorOsmolska, Weronika
dc.contributor.authorMarques, Carolina A.
dc.contributor.authorWahl, Peter
dc.date.accessioned2023-08-10T10:30:16Z
dc.date.available2023-08-10T10:30:16Z
dc.date.issued2023-01-15
dc.identifier292170540
dc.identifier7b10a0a7-b749-4326-98df-20a7bc48ad3e
dc.identifier85146307631
dc.identifier.citationRhodes , L C , Osmolska , W , Marques , C A & Wahl , P 2023 , ' Nature of quasiparticle interference in three dimensions ' , Physical Review B - Condensed Matter and Materials Physics , vol. 107 , no. 4 , 045107 . https://doi.org/10.1103/PhysRevB.107.045107en
dc.identifier.issn1098-0121
dc.identifier.otherArXiv: http://arxiv.org/abs/2208.00995v1
dc.identifier.otherORCID: /0000-0003-2468-4059/work/116910208
dc.identifier.otherORCID: /0000-0002-8635-1519/work/116910245
dc.identifier.urihttps://hdl.handle.net/10023/28134
dc.descriptionFunding: LCR acknowledges support through the Royal Commission for the Exhibition 1851 and CAM and PW from the Engineering and Physical Sciences Research Council (EPSRC EP/L015110/1, EP/S005005/1 and EP/R031924/1).en
dc.description.abstractQuasiparticle Interference (QPI) imaging is a powerful tool for the study of the low energy electronic structure of quantum materials. However, the measurement of QPI by scanning tunneling microscopy (STM) is restricted to surfaces and is thus inherently constrained to two dimensions. This has proved immensely successful for the study of materials that exhibit a quasi-two-dimensional electronic structure, yet it raises questions about how to interpret QPI in materials that have a highly three dimensional electronic structure. In this paper we address this question and establish the methodology required to simulate and understand QPI arising from three dimensional systems as measured by STM. We calculate the continuum surface Green's function in the presence of a defect, which captures the role of the surface and the vacuum decay of the wave functions. We find that defects at different depths from the surface will produce unique sets of scattering vectors for three dimensional systems, which nevertheless can be related to the three-dimensional electronic structure of the bulk material. We illustrate the consequences that the three-dimensionality of the electronic structure has on the measured QPI for a simple cubic nearest-neighbour tight-binding model, and then demonstrate application to a real material using a realistic model for PbS. Our method unlocks the use of QPI imaging for the study of quantum materials with three dimensional electronic structures and introduces a framework to generically account for kz dispersions within QPI simulations.
dc.format.extent6
dc.format.extent865900
dc.language.isoeng
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen
dc.subjectQC Physicsen
dc.subjectTK Electrical engineering. Electronics Nuclear engineeringen
dc.subjectDASen
dc.subjectMCCen
dc.subject.lccQCen
dc.subject.lccTKen
dc.titleNature of quasiparticle interference in three dimensionsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Centre for Designer Quantum Materialsen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.identifier.doi10.1103/PhysRevB.107.045107
dc.description.statusPeer revieweden
dc.identifier.urlhttps://arxiv.org/abs/2208.00995en
dc.identifier.urlhttps://ui.adsabs.harvard.edu/abs/2022arXiv220800995Ren
dc.identifier.grantnumberEP/S005005/1en
dc.identifier.grantnumberEP/R031924/1en
dc.identifier.grantnumberEP/L015110/1en


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