Superfluidity of Total Angular Momentum

Spontaneous symmetry breaking of a U(1) symmetry leads to superfluidity of a corresponding conserved charge. We generalize the superfluidity to systems with U(1) symmetries acting on both matter fields and two-dimensional spatial coordinates. Such systems can be effectively realized in easy-plane ferromagnetic systems with spin-orbit coupling where the conserved charge is a total angular momentum. We clarify that under a steady injection of spin angular momentum, the superfluid of the total angular momentum shows spacetime oscillations of the spin density and geometry-dependent spin hydrodynamics. Though a stability analysis shows that the superfluid under the spin injection is nonideal, the proposed spin transport persists with weak dissipation of the spin angular momentum. Our study broadens the comprehension of superfluidity and sheds new light on the interplay between symmetries and phases of matter.