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

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

2009-09-25

arxiv.org/abs/0909.4580v1

Phys. Rev. B 81, 012508 (2010)

Physics

Condensed Matter

Superconductivity

4 pages, 2 fig, submitted to PRB

Scientific paper

10.1103/PhysRevB.81.012508

We consider the effect of non-magnetic impurities on the onset temperature $T^*$ 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, $T^* \approx 0.02 v_f/a$ 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 $T^*$ 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.

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