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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. I. Continuum description ' , Physical Review. B, Condensed matter and materials physics , vol. 104 , no. 24 , 245133 .
dc.identifier.otherPURE: 277198293
dc.identifier.otherPURE UUID: 19ee87bc-a39e-4fc7-9bd9-5de766fbb9d6
dc.identifier.otherORCID: /0000-0002-7077-8825/work/105318451
dc.identifier.otherScopus: 85121986510
dc.descriptionFunding: C.J.F.C. acknowledges studentship funding from EPSRC under Grant No. EP/M506631/1.en
dc.description.abstractWe consider subgap bands induced in a two-dimensional superconductor by a densely packed chain of magnetic moments with ferromagnetic or spiral alignments. We show that by contrast with sparsely packed chains a consistent description requires that all wavelengths are taken into account for the scattering at the magnetic moments. The resulting subgap states are a composition of Yu-Shiba-Rusinov-type states and magnetic scattering states, whose mixture becomes especially important to understand the nature and dimensional renormalization of gap closures for spiral magnetic alignments under increasing scattering strength, particularly as the spiral becomes commensurate with the Fermi wavelength. The results are fully analytic in the form of Green’s functions and provide the tools for further analysis of the properties of the subgap states.
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 final published version of the work, which was originally published at
dc.subjectQC Physicsen
dc.subjectTK Electrical engineering. Electronics Nuclear engineeringen
dc.titleSubgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum descriptionen
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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