Anomalous phonon magnetic moments

Abstract: Circularly polarized phonons conventionally carry an angular momentum and a magnetic moment arising from the circular motions of the atoms around their equilibrium positions in a crystal. Here, we present three cases of anomalous magnetic moments produced by axial phonons that cannot be described in the conventional framework. The three cases include rotationless axial phonons, in which the atoms carry no real, but only pseudo, angular momentum and magnetic moments, diverging gyromagnetic ratios, in which a finite phonon magnetic moment is produced despite nearly vanishing phonon angular momentum, and noncollinear phonon magnetic moments, in which the angular momentum and magnetic moment of the axial phonon are not parallel. Our results shine light on the origin and nature of phonon magnetic moments and open a route towards phononic hidden orders and noncollinear phonomagnetism.