“…In contrast to the normal case, in a superconductor an equilibrium electric supercurrent can flow in the absence of an external electric field and is directly related to the gauge invariant superconducting condensate phase j ∝ v s ∝ ∇φ − (2e/c)A, where v s is the condensate velocity, φ is the phase of the superconducting order parameter and A is the vector potential. That leads to two consequences: (a) a supercurrent can generate an equilibrium spin polarization in the presence of intrinsic SOC [62][63][64][65], extrinsic impurity-induced SOC [66,67], in TI-based superconducting heterostructures [68,69] and in superconductor/ferromagnet hybrids with spin-textured ferromagnets [70,71] and (b) in contrast to the normal case, in superconductors a static Zeeman field B can induce a supercurrent j k :…”