# Topological Electronic States in HfRuP Family Superconductors

## TL;DR

This study combines first-principles calculations and experiments to reveal topological electronic states in HfRuP family superconductors, showing Weyl semimetal and topological crystalline insulator phases that may lead to unconventional superconductivity.

## Contribution

It is the first to identify nontrivial topological phases in HfRuP family superconductors and experimentally verify their superconductivity and topological properties.

## Key findings

- HfRuP hosts a Weyl semimetal phase with 12 pairs of type-II Weyl points.
- ZrRuAs, ZrRuP, and HfRuAs are topological crystalline insulators with nontrivial mirror Chern numbers.
- Superconductivity coexists with nontrivial topological states, suggesting potential for topological superconductivity.

## Abstract

Based on the first-principles calculations and experimental measurements, we report that the hexagonal phase of ternary transition metal pnictides TT'X (T=Zr, Hf; T'=Ru; X=P, As), which are well-known noncentrosymmetric superconductors with relatively high transition temperatures, host nontrivial bulk topology. Before the superconducting phase transition, we find that HfRuP belongs to a Weyl semimetal phase with 12 pairs of type-II Weyl points, while ZrRuAs, ZrRuP and HfRuAs belong to a topological crystalline insulating phase with trivial Fu-Kane $\mathbb Z_2$ indices but $nontrivial$ mirror Chern numbers. High-quality single crystal samples of the noncentrosymmetric superconductors with these two different topological states have been obtained and the superconductivity is verified experimentally. The wide-range band structures of ZrRuAs have been identified by ARPES and reproduced by theoretical calculations. Combined with intrinsic superconductivity, the nontrivial topology of the normal state may generate unconventional superconductivity in both bulk and surfaces. Our findings could largely inspire the experimental searching for possible topological superconductivity in these compounds.