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Effects of Van Hove singularities on the upper critical field

Effects of Van Hove singularities on the upper critical field

We present a study of the superconducting pairing susceptibility KT(r) for a two-dimensional isotropic system with a strong power-law divergence in the density of states N()~-1 + 1/b, b>1. We show that the pair propagator has the scaling form KT(r) = rb-3F(T1/br). An anomalous short-range behaviour is found, leading straightforwardly …