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Novel materials with both topological nontrivial states and superconductivityhave attracted considerable attention in recent years. Single-crystal FeB4 wasrecently synthesized and demonstrated to exhibit superconductivity attemperatures lower than 2.9 K, and its nanoindentation hardness was measured tobe 65 GPa. In this study, based on first-principles calculation and thelow-energy kp effective Hamiltonian, we found that this Pnnm-type superhardFeB4 superconductor hosts topological behaviors with intersecting nodal rings(INRs) in the k_x=0 and k_z=0 planes and nodal wall states in the k_y= {\pi}and k_z= {\pi} planes. The observed surface drum-head-like (D-H-L) states onthe [100] and [001] surfaces confirmed the presence of INR states in thissystem. According to our investigation results, FeB4, with itssuperconductivity, superior mechanical behaviors, one-dimensional (1D) andtwo-dimensional topological elements, and D-H-L surface states, is an existingsingle-phase target material that can be used to realize the topologicalsuperconducting state in the near future.

Intersecting topological nodal ring and nodal wall states in superhard superconductor FeB4