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Recently, the crystal symmetry-protected topological semimetals have arousedextensive interests, especially for the nonsymmorphic symmetry-protected one.We list the possible nonmagnetic topological semimetals and develop their k.pHamiltonian in all layer groups with multiple screw axes in the absence ofspin-orbital coupling. We find a novel cat's cradle-like topological semimetalphase, which looks like multiple hourglass-like band structures staggeredtogether. Furthermore, we propose the monolayer borophene and borophane withpmmn layer group as the first material class to realize such novel semimetalphase. A pair of tilted anisotropic Dirac cones at the Fermi level is revealedin the two-dimensional boron-based materials and the low-energy effectivemodels are given. Moreover, akin to three-dimensional Weyl semimetal, thetopological property of these cat's cradle-like Dirac semimetals can beverified by the calculation of quantized Berry phase and the demonstration offlat Fermi-arc edge state connecting two Dirac points as well. Our finding thatborophene and borophane are cat's cradle-like Dirac semimetals is of greatinterest for experiment and possible applications in the future.

Cat's cradle-like Dirac semimetals in layer groups with multiple screw axes: Application to 2D Borophene and Borophane