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Classification of Dirac points with higher-order Fermi arcs

Yuan Fang and Jennifer Cano
Phys. Rev. B 104, 245101 – Published 1 December 2021

Abstract

Dirac semimetals lack a simple bulk-boundary correspondence. Recently, Dirac materials with fourfold rotation symmetry have been shown to exhibit a higher-order bulk-hinge correspondence: they display “higher-order Fermi arcs,” which are localized on hinges where two surfaces meet and connect the projections of the bulk Dirac points. In this paper, we classify higher-order Fermi arcs for Dirac semimetals protected by a rotation symmetry and the product of time-reversal and inversion. Such Dirac points can be either linear in all directions or linear along the rotation axis and quadratic in other directions. By computing the filling anomaly for momentum-space planes on either side of the Dirac point, we find that all linear Dirac points exhibit higher-order Fermi arcs terminating at the projection of the Dirac point, while the Dirac points that are quadratic in two directions lack such higher-order Fermi arcs. When higher-order Fermi arcs do exist, they obey either a Z2 (fourfold rotation axis) or Z3 (three- or sixfold rotation axis) group structure. Finally, we build two models with sixfold symmetry to illustrate the cases with and without higher-order Fermi arcs. We predict higher-order Fermi arcs in Na3Bi.

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  • Received 21 September 2021
  • Accepted 12 November 2021

DOI:https://doi.org/10.1103/PhysRevB.104.245101

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yuan Fang1 and Jennifer Cano1,2

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11974, USA
  • 2Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA

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Issue

Vol. 104, Iss. 24 — 15 December 2021

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