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The question whether the Anderson-Mott localisation enhances or reducesmagnetic correlations is central to the physics of magnetic alloys.Particularly intriguing is the case of (Ga,Mn)As and related magneticsemiconductors, for which diverging theoretical scenarios have been proposed.Here, by direct magnetisation measurements we demonstrate how magnetism evolveswhen the density of carriers mediating the spin-spin coupling is diminished bythe gate electric field in metal/insulator/semiconductor structures of(Ga,Mn)As. Our findings show that the channel depletion results in a monotonicdecrease of the Curie temperature, with no evidence for the maximum expectedwithin the impurity-band models. We find that the transition from theferromagnetic to the paramagnetic state proceeds via the emergence of asuperparamagnetic-like spin arrangement. This implies that carrier localisationleads to a phase separation into ferromagnetic and nonmagnetic regions, whichwe attribute to critical fluctuations in the local density of states, specificto the Anderson-Mott quantum transition.

Experimental probing of the interplay between ferromagnetism and localisation in (Ga,Mn)As