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Electrical control of magnetism is a long-standing goal in physics andtechnology, recently developed electrolyte gating techniques providing apromising route to realization. Validating a recent theoretical prediction,here we demonstrate large enhancement of electrostatic modulation offerromagnetic order in ion-gel-gated ultrathinLa$_{0.5}$Sr$_{0.5}$CoO$_{3-\delta}$ by thickness-tuning to the brink of amagnetic percolation transition. Application of only 3-4 V then drives atransition from a short-range-ordered insulator to a robust long-rangeferromagnetic metal, realizing giant electrostatic Curie temperature modulationover a 150 K window. In operando polarized neutron reflectometry confirmsgate-controlled ferromagnetism, also demonstrating unusually deep penetrationof induced magnetization, in further agreement with theory.

Giant Electrostatic Modification of Magnetism via Electrolyte-Gate-Induced Cluster Percolation in La$_{1-x}$Sr$_x$CoO$_{3-\delta}$