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dc.contributor.authorCarey, A.-
dc.contributor.authorThiang, G.C.-
dc.identifier.citationLetters in Mathematical Physics, 2021; 111(3):72-1-72-16-
dc.description.abstractIn the gap topology, the unbounded self-adjoint Fredholm operators on a Hilbert space have third homotopy group the integers. We realise the generator explicitly, using a family of Dirac operators on the half-line, which arises naturally in Weyl semimetals in solid-state physics. A “Fermi gerbe” geometrically encodes how discrete spectral data of the family interpolate between essential spectral gaps. Its non-vanishing Dixmier–Douady invariant protects the integrity of the interpolation, thereby providing topological protection of the Weyl semimetal’s Fermi surface.-
dc.description.statementofresponsibilityAlan Carey, Guo Chuan Thiang-
dc.publisherSpringer Nature-
dc.rights© The Author(s), under exclusive licence to Springer Nature B.V. 2021-
dc.subjectGerbes; spectral flow; topological semimetals-
dc.titleThe Fermi gerbe of Weyl semimetals-
dc.typeJournal article-
dc.identifier.orcidThiang, G.C. [0000-0003-0268-0065]-
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Mathematical Sciences publications

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