Twofold quadruple Weyl nodes in chiral cubic crystals

Abstract

Conventional Weyl nodes are twofold band crossings that carry a unit monopole charge, which can exist in condensed matter systems with the protection of translation symmetry. Unconventional Weyl nodes are twofold/multifold band crossings carrying a quantized monopole charge larger than one, and their existence needs the protection of additional crystalline symmetries. Studies on unconventional Weyl nodes are already very comprehensive, such as twofold Weyl nodes with Chern number of C=2/C=3 and fourfold/sixfoldWeyl nodes with C=4. Yet in this paper, we propose a newfound twofold unconventional Weyl node with C=4, which can exist in any chiral cubic systems with integer spin. Such kind of twofold quadruple Weyl node has a cubic band dispersion along [111] direction and will evolve into a fourfold quadruple Weyl node after considering spin-orbit coupling. In this paper, we exhaust all the possible chiral cubic space groups and corresponding k-points, which can have twofold quadruple Weyl nodes. We also propose a series of LaIrSi-type materials that both have twofold quadruple Weyl nodes in electronic systems and the phonon spectra.

11 pages, 9 figures

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• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Giant Chern number of a Weyl nodal surface without upper limit
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Unconventional Weyl exceptional contours in non-Hermitian photonic continua
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Magnetic Photocurrents in Multifold Weyl Fermions
• Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles