  It has been recently shown that the coherent component of light propagating
in transversally disordered media, the so-called coherent mode, exhibits an
optical spin Hall effect (SHE). In non-resonant materials, however, this
phenomenon shows up at a spatial scale much larger than the mean free path,
making its observation challenging due to the exponential attenuation of the
coherent mode. Here, we show that in disordered photonic arrays exhibiting Mie
resonances, the SHE on the contrary appears at a scale smaller than the mean
free path if one operates in the close vicinity of the lowest
transverse-magnetic resonance of the array. In combination with a weak
measurement, this gives rise to a giant SHE that should be observable in
optically-thin media. Furthermore, we show that by additionally exploiting the
cooperative emission of a flash of light following the abrupt extinction of the
incoming beam, one can achieve a time-dependent SHE, observable at large
optical thickness as well.
