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dc.contributor.authorCarroll, C. J. F.
dc.contributor.authorBraunecker, Bernd
dc.identifier.citationCarroll , C J F & Braunecker , B 2021 , ' Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification ' , Physical Review B - Condensed Matter and Materials Physics , vol. 104 , no. 24 , 245134 .
dc.identifier.otherPURE: 277198332
dc.identifier.otherPURE UUID: 0356b244-3590-4e7e-a7f0-88efceceb2ab
dc.identifier.otherORCID: /0000-0002-7077-8825/work/105318452
dc.identifier.otherScopus: 85121986869
dc.descriptionC.J.F.C. acknowledges studentship funding from EPSRC under Grant No. EP/M506631/1.en
dc.description.abstractWe investigate the topological classification of the subgap bands induced in a two-dimensional superconductor by a densely packed chain of magnetic moments with ferromagnetic or spiral alignments. The wave functions for these bands are composites of Yu-Shiba-Rusinov-type states and magnetic scattering states and have a significant spatial extension away from the magnetic moments. We show that this spatial structure prohibits a straightforward extraction of a Hamiltonian useful for the topological classification. To address the latter correctly, we construct a family of spatially varying topological Hamiltonians for the subgap bands adapted for the broken translational symmetry caused by the chain. The spatial dependence in particular captures the transition to the topologically trivial bulk phase when moving away from the chain by showing how this, necessarily discontinuous, transition can be understood from an alignment of zeros with poles of Green’s functions. Through the latter, the topological Hamiltonians reflect a characteristic found otherwise primarily in strongly interacting systems.
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen
dc.rightsCopyright © 2021 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectQB Astronomyen
dc.subjectQC Physicsen
dc.titleSubgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classificationen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
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.description.statusPeer revieweden

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