Reduced effect of impurities on the universal pairing scale in the cuprates

Abstract

We consider the effect of non-magnetic impurities on the onset temperature $T^{\ast }$ for the $d-$wave pairing in spin-fluctuation scenario for the cuprates. We analyze intermediate coupling regime when the magnetic correlation length $\xi /a>1$ and the dimensionless coupling $u$ is O(1). In the clean limit, $T^{\ast }\approx 0.02v_f/a$ in this parameter range, and weakly depends on $\xi$ and $u$. We found numerically that this universal pairing scale is also quite robust with respect to impurities: the scattering rate ${\Gamma }_{cr}$ needed to bring $T^{\ast }$ down to zero is about 4 times larger than in weak coupling, in good quantitative agreement with experiments. We provide analytical reasoning for this result.

4 pages, 2 fig, submitted to PRB

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