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Superconductivity in crystals without inversion symmetry has receivedextensive attention due to its unconventional pairing and possible nontrivialtopological properties. Using first-principles calculations, we systemicallystudy the electronic structure of noncentrosymmetric superconductors$A_2$Cr$_3$As$_3$ ($A$=Na, K, Rb and Cs). Topologically protected triplydegenerate points connected by one-dimensional arcs appear along the $C_{3}$axis, coexisting with strong ferromagnetic (FM) fluctuations in thenon-superconducting state. Within random phase approximation, our calculationsshow that strong enhancements of spin fluctuations are present inK$_2$Cr$_3$As$_3$ and Rb$_2$Cr$_3$As$_3$, and are substantially reduced inNa$_2$Cr$_3$As$_3$ and Cs$_2$Cr$_3$As$_3$. Symmetry analysis of spin-orbitcoupling $g_{k}$ suggests that the arc surface states might remain stable inthe superconducting state, giving rise to possible nontrivial topologicalproperties.

Coexistence of nontrivial topological properties and strong ferromagnetic fluctuations in $A_2$Cr$_3$As$_3$ ($A$=Na, K, Rb and Cs)