Abstract
The question whether the Halperin-Lubensky-Ma result for a fluctuation-induced weakly first-order phase transition in superconductors holds in the presence of quenched impurities is considered. The renormalisation-group recursion relations have a new stable fixed point for 1<n<or=366, which describes a real critical behaviour in the range 2<Dc(n)<d<4 of space dimensionalities d (n/2 is the number of components of the complex order parameter). Some features of the new fixed point are discussed. The critical exponents are presented for 1<n<or=366.
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