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Spin-phonon coupling enables the mutual manipulation of phonon and spindegrees of freedom in solids. In this study, we reveal the inherentnonlinearity within this coupling. Using a paramagnet as an illustration, wedemonstrate the nonlinearity by unveiling spontaneous symmetry breaking under aperiodic drive. The drive originates from linearly polarized light, respectinga mirror reflection symmetry of the system. However, this symmetry isspontaneously broken in the steady state, manifested in the emergence ofcoherent chiral phonons accompanied by a nonzero magnetization. We establish ananalytical self-consistent equation to find the parameter regime wherespontaneous symmetry breaking occurs. Furthermore, we estimate realisticparameters and discuss potential materials that could exhibit this behavior.Our findings shed light on the exploration of nonlinear phenomena in magneticmaterials and present possibilities for on-demand control of magnetization.

Light Driven Spontaneous Phonon Chirality and Magnetization in Paramagnets