Odd-parity magnetism by quantum geometry

We uncover a geometric mechanism of odd-parity multipole magnetism driven by the quantum metric of Bloch electrons. By analyzing spin and odd-parity multipole susceptibilities in a multi-sublattice model, we demonstrate that the quantum metric directly controls the instability toward odd-parity magnetic multipole order over a wide range of parameters, which condenses under Hubbard interaction. The resulting state exhibits complex magnetic correlations, as a hallmark of quantum-geometric magnetism. These results establish a geometric design principle for odd-parity multipole magnets and provide a route toward the experimental verification of quantum-geometric magnetism.