Gate-switchable SQUID based on Dirac semimetal Cd3As2 nanowires

Topological semimetal nanowires in proximity with $s$-wave superconductors are promising for Majorana-based topological quantum computers. To braid the Majorana modes, an interconnected nanowire network coupled to superconductor islands is required. Here, we have fabricated the nanostructures based on two Dirac semimetal ${\mathrm{Cd}}_{3}{\mathrm{As}}_{2}$ nanowires connected in parallel to form a symmetric superconducting quantum interference device (SQUID). A proximity-induced superconducting state is achieved in the SQUID, and its gate voltage and magnetic field dependence are investigated. It is found that the supercurrent can be switched on/off by modulating the gate voltage, behaving as a supercurrent field-effect transistor. Under an out-of-plane magnetic field, the SQUID shows an anomalous magnetic field -enhanced superconductivity behavior near the Dirac point. An in-plane magnetic field experiment shows a typical $\ensuremath{\pi}$ periodicity of a critical current with the rotation angle. Our work realizes the implementation and characterization of nanowire SQUID structures, which is a significant step toward integrating Dirac semimetal nanowires into scalable superconducting networks for braiding non-Abelian quantum states.