Weyl points, carrying a Z-type monopole charge\documentclass[12pt]{minimal}
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				\begin{document}$$C$$\end{document}C, have bulk-surface correspondence (BSC) associated with helical surface states (HSSs). When |\documentclass[12pt]{minimal}
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				\begin{document}$$C$$\end{document}C|\documentclass[12pt]{minimal}
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				\begin{document}$$>1$$\end{document}>1, multi-HSSs can appear in a parallel manner. However, when a pair of Weyl points carrying\documentclass[12pt]{minimal}
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				\begin{document}$$C$$\end{document}C\documentclass[12pt]{minimal}
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				\begin{document}$$=\pm 1$$\end{document}=±1meet, a Dirac point carrying\documentclass[12pt]{minimal}
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				\begin{document}$$C$$\end{document}C= 0 can be obtained and the BSC vanishes. Nonetheless, a recent study in Zhang et al. (Phys Rev Res 4:033170, 2022) shows that a new BSC can survive for Dirac points when the system has time-reversal (\documentclass[12pt]{minimal}
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				\begin{document}$${T}$$\end{document}T)-glide (\documentclass[12pt]{minimal}
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				\begin{document}$${G}$$\end{document}G) symmetry (\documentclass[12pt]{minimal}
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				\begin{document}$${\tilde{\Theta }}$$\end{document}Θ~=TG), i.e., anti-parallel double/quad-HSSs associated with a new\documentclass[12pt]{minimal}
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				\begin{document}$$Z_{2}$$\end{document}Z2-type monopole charge\documentclass[12pt]{minimal}
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				\begin{document}$${Q}$$\end{document}Qappear. In this paper, we systematically review and discuss both the parallel and anti-parallel multi-HSSs for Weyl and Dirac points, carrying two different kinds of monopole charges. Two material examples are offered to understand the whole configuration of multi-HSSs. One carries the Z-type monopole charge\documentclass[12pt]{minimal}
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				\begin{document}$$C$$\end{document}C, showing both local and global topology for three kinds of Weyl points, and it leads to parallel multi-HSSs. The other carries the\documentclass[12pt]{minimal}
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				\begin{document}$$Z_{2}$$\end{document}Z2-type monopole charge\documentclass[12pt]{minimal}
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				\begin{document}$${Q}$$\end{document}Q, only showing the global topology for\documentclass[12pt]{minimal}
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				\begin{document}$${\tilde{\Theta }}$$\end{document}Θ~-invariant Dirac points, and it is accompanied by anti-parallel multi-HSSs.