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

Wieder, Benjamin J.; Wang, Zhijun; Cano, Jennifer; Dai, Xi; Schoop, Leslie M.; Bradlyn, Barry; Bernevig, B. Andrei

doi:10.1038/s41467-020-14443-5

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

Journal Article · 31 January 2020 · Nature Communications

DOI: https://doi.org/10.1038/s41467-020-14443-5 · OSTI ID:1619476

;

; Dai, Xi;

;

; Bernevig, B. Andrei

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 Cd ₃ As ₂ , KMgBi, and rutile-structure ( $$$$ \beta ^{\prime} $$$$ $β^{'}$ -) PtO ₂ .

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0016239

OSTI ID:: 1619476

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 11; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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