Strong and fragile topological Dirac semimetals with higher-order Fermi arcs

Benjamin J. Wieder (), Zhijun Wang, Jennifer Cano, Xi Dai, Leslie M. Schoop, Barry Bradlyn () and B. Andrei Bernevig ()
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Benjamin J. Wieder: Princeton University
Zhijun Wang: Chinese Academy of Sciences
Jennifer Cano: Stony Brook University
Xi Dai: Hong Kong University of Science and Technology
Leslie M. Schoop: Princeton University
Barry Bradlyn: University of Illinois at Urbana-Champaign
B. Andrei Bernevig: Princeton University

Nature Communications, 2020, vol. 11, issue 1, 1-13

Abstract: Abstract Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points themselves, the surface Fermi arcs in Dirac semimetals are not directly related to the bulk Dirac points, raising the question of whether there exists a topological bulk-boundary correspondence for Dirac semimetals. In this work, we discover that strong and fragile topological Dirac semimetals exhibit one-dimensional (1D) higher-order hinge Fermi arcs (HOFAs) as universal, direct consequences of their bulk 3D Dirac points. To predict HOFAs coexisting with topological surface states in solid-state Dirac semimetals, we introduce and layer a spinful model of an s–d-hybridized quadrupole insulator (QI). We develop a rigorous nested Jackiw–Rebbi formulation of QIs and HOFA states. Employing ab initio calculations, we demonstrate HOFAs in both the room- (α) and intermediate-temperature (α″) phases of Cd3As2, KMgBi, and rutile-structure ($$ \beta ^{\prime} $$β′-) PtO2.

Date: 2020
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DOI: 10.1038/s41467-020-14443-5

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