Anisotropic g-Factor and Spin-Orbit Field in a Ge Hut Wire Double Quantum Dot.

Holes in nanowires have drawn significant attention in recent years because of the strong spin-orbit interaction, which plays an important role in constructing Majorana zero modes and manipulating spin-orbit qubits. Here, we experimentally investigate the spin-orbit field in a hole double quantum dot in germanium (Ge) hut wires by measuring the leakage current in the Pauli spin blockade regime. By varying the applied magnetic field and interdot detuning, we demonstrate two different spin mixing mechanisms: spin-flip cotunneling to/from the reservoirs, and spin-orbit interaction within the double dot. By rotating the direction of the magnetic field, we observe strong anisotropy of the leakage current at a finite magnetic field induced by the spin-orbit interaction. Through numerical simulation, we extract the full g-tensor and find that the direction of the spin-orbit field is in-plane, and at an azimuth angle of 59{\deg} to the nanowire. We attribute our observations to the existence of a strong spin-orbit interaction along the nanowire, which may have originated from the interface inversion asymmetry in our system.