Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals

Abstract

We give a bulk-hinge correspondence for higher-order topological phases protected by rotoinversion $C_4\mathcal{I}$ symmetry in magnetic systems. Our approach allows us to show the emergence of the chiral hinge modes only from the information of the $C_4\mathcal{I}$ eigenvalues at the high-symmetry points in the Brillouin zone. In addition, based on the bulk-hinge correspondence, we propose a class of higher-order Weyl semimetals (HOWSMs) being Weyl semimetals with hinge modes and Fermi-arc surface states. The HOWSM is characterized by topological invariants for three-dimensional higher-order topological insulators, and the topological invariants are determined by the $C_4\mathcal{I}$ symmetry eigenvalues at the high-symmetry points. This HOWSM has chiral hinge modes as a direct consequence of the three-dimensional higher-order topology in the bulk.

16pages, 7 figures

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Cited by in corpus (6)

• Quantized charge-pumping in higher-order topological insulators
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Multi higher-order Dirac and nodal line semimetals
• Crystalline-electromagnetic responses of higher order topological semimetals
• Effects of first- and second-order topological phases on equilibrium crystal shapes
• Hinge modes of three-dimensional Euler insulators