Josephson effect in topological semimetal-superconductor heterojunctions

Topological semimetals are exotic phases of quantum matter with gapless electronic excitation protected by symmetry. Benefitting from its unique relativistic band dispersion, topological host abundant states and effects, such as Fermi-arc surface chiral anomaly. In recent years, due to the potential application in computing, hybrid system topology superconductivity has aroused wide interest community. Recent experimental progress semimetal-superconductor heterojunctions is reviewed two aspects: 1) Josephson current a mode filter different states; 2) detection manipulation Majorana zero modes. For former, utilizing interference, ballistic transport revealed, higher-order discovered, finite-momentum Cooper pairing superconducting diode effect realized. latter, detecting a.c. Dirac semimetals, 4π-periodic supercurrent discovered. By all-electric gate control, transition obtained. Outlooks future research on their braiding computing discussed.