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Hochst\"attler, Kirsch, and Warzel showed that the semicircle law holds forgeneralized Curie-Weiss matrix ensembles at or above the critical temperature.We extend their result to the case of subcritical temperatures for which thecorrelations between the matrix entries are stronger. Nevertheless, one may usethe concept of approximately uncorrelated ensembles that was first introducedin the paper mentioned above. In order to do so one needs to remove the averagemagnetization of the entries by an appropriate modification of the ensemblethat turns out to be of rank 1 thus not changing the limiting spectral measure.

Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature