Odd-parity magnetism by quantum geometry

Abstract: We study the effects of quantum geometry on parity-violating magnetism that is classified as odd-parity multipole magnetism. By comparing the spin susceptibility and odd-parity multipole susceptibility in the multisublattice model, we find that the ferroic multipole fluctuation is induced by the quantum geometry of Bloch electrons over a wide range of parameters. Due to the Hubbard interaction, the quantum-geometric multipole fluctuations condense into the multipole order. We predict complex magnetic correlations, which are a signature of quantum-geometric multipole magnetism, and propose experimental verification.