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Attachment of Surface Fermi Arcs to the Bulk Fermi Surface: Fermi-Level Plumbing in Topological Metals

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 نشر من قبل F. D. M. Haldane
 تاريخ النشر 2014
  مجال البحث فيزياء
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 تأليف F. D. M. Haldane




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The role of Fermi arc surface-quasiparticle states in topological metals (where some Fermi surface sheets have non-zero Chern number) is examined. They act as Fermi-level plumbing conduits that transfer quasiparticles among groups of apparently-disconnected Fermi sheets with non-zero Chern numbers to maintain equality of their chemical potentials, which is required by gauge invariance. Fermi arcs have a chiral tangential attachment to the surface projections of sheets of the bulk Fermi Surface: the total Chern number of each projection equals the net chirality of arc-attachments to it. Information from the Fermi arcs is needed to unambiguously determine the quantized part of the anomalous Hall effect that is not determined at the bulk Fermi surface.

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