TY - JOUR
T1 - Strong and fragile topological Dirac semimetals with higher-order Fermi arcs
AU - Wieder, Benjamin J.
AU - Wang, Zhijun
AU - Cano, Jennifer
AU - Dai, Xi
AU - Schoop, Leslie M.
AU - Bradlyn, Barry
AU - Bernevig, B. Andrei
N1 - Funding Information:
We thank Ady Stern, Ivo Souza, Maia G. Vergniory, Fan Zhang, Chen Fang, and Michael P. Zaletel for helpful discussions. B.J.W., J.C., and B.A.B. acknowledge the hospitality of the Donostia International Physics Center, where parts of this work were carried out. B.J.W. and B.A.B. were supported by the Department of Energy Grant No. DE-SC0016239, the National Science Foundation EAGER Grant No. DMR 1643312, Simons Investigator Grant No. 404513, ONR Grant No. N00014-14-1-0330, the Packard Foundation, the Schmidt Fund for Innovative Research, and a Guggenheim Fellowship from the John Simon Guggenheim Memorial Foundation. Z.W. acknowledges support from the CAS Pioneer Hundred Talents Program. J.C. acknowledges support from the Flatiron Institute, a division of the Simons Foundation. L.M.S. was supported by a MURI grant on TIs from the Army Research Office, Grant No. ARO W911NF-12-1-0461. B.J.W., L.M.S., and B.A.B. were additionally supported by the NSF through the Princeton Center for Complex Materials, a Materials Research Science and Engineering Center DMR-1420541. As discussed in the main text, during the long preparation of this extensive work, simplified toy-models featuring variants of HOFA states were introduced in refs. 53,54; further comparisons to the results of ref. 53 are provided in Supplementary Note 11. Corner modes in fragile phases were also recently recognized in refs. 32,37, and were connected in ref. 32 to a robust variant of spinless HOFA states distinct from those introduced in this work. Finally, during the preparation of this work, Majorana HOFA states in nodal superconductors were analyzed in ref. 79.
Publisher Copyright:
© 2020, The Author(s).
PY - 2020/12/1
Y1 - 2020/12/1
N2 - 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 (β′-) PtO2.
AB - 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 (β′-) PtO2.
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U2 - 10.1038/s41467-020-14443-5
DO - 10.1038/s41467-020-14443-5
M3 - Article
C2 - 32005893
AN - SCOPUS:85078828947
SN - 2041-1723
VL - 11
JO - Nature communications
JF - Nature communications
IS - 1
M1 - 627
ER -