Signatures of anisotropic topological superconductivity in a dc-SQUID*

We investigate the emergence of topological superconductivity (TS) in a dc-SQUID and its signatures on the ground state phase and critical current. The topological phase transition in each of the two planar Josephson junctions are individually tuned by using top gates. We specifically consider the cases when none, either or both junctions are in the topological regime. The coexistence of Rashba and Dresselhaus spin-orbit couplings leads to crystalline anisotropic TS. We theoretically show that the distinctive anisotropic effects on the ground state phase and critical current could be used for experimentally identifying topological phase transitions in the dc-SQUID.