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    Symmetry-protected coexistence of a nodal surface and multiple types of Weyl fermions in CBT-B30

    Xiao-Jing Gao, Yanfeng Ge, and Yan Gao*

    • State Key Laboratory of Metastable Materials Science and Technology and Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China

    • *Contact author: yangao9419@ysu.edu.cn

    Phys. Rev. B 114, 165113 – Published 9 September, 2026

    DOI: https://doi.org/10.1103/mh37-nxby

    Abstract

    The coexistence of topological states with different dimensionalities in a single crystalline system offers a unique platform to study the interplay of distinct fermionic excitations. Here, integrating first-principles calculations with symmetry analysis, we propose the three-dimensional boron allotrope CBT-B30 as an ideal, structurally stable candidate for exploring multidimensional topological physics. Benefiting from the practically negligible spin-orbit coupling of the light-element framework, CBT-B30 operates as a pristine spinless topological semimetal. We show that the combined time-reversal and twofold screw symmetry (TS2z) enforces a robust two-dimensional nodal surface on the kz=π plane via a Kramers-like degeneracy. Concurrently, the system hosts a diverse set of zero-dimensional Weyl fermions—including an unconventional double-Weyl point with topological charge (Chern number) C=−2, conventional Type-I Weyl points (WPs; C=−1), and completely tilted Type-II WPs (C=+1)—emerging at the high-symmetry points Γ and K, as well as along the H−K path, protected by C6 and C3 crystalline rotational symmetries. Crucially, the substantial momentum-space separation between the nodal surface and Weyl points allows for their unambiguous independent resolution. Calculations of the (100) surface states reveal distinct, nontrivial Fermi arcs connecting Weyl nodes of opposite chirality. This work establishes CBT-B30 as a compelling material platform for investigating the physics of multidimensional hybrid topological fermions and their interplay.

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