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Effect of impurities on incommensurate spin fluctuations in a d-wave superconductor

机译：杂质对d波超导体中自旋波动的影响

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摘要

The effects of nonmagnetic impurity on the spin response in a d_(x~2-y~2)-wave superconductor are studied theoretically. Starting from the dispersion derived from the mean-field t-t'-J model, we carry out the calculations based on the self-consistent t-matrix approximation and the random phase approximation. The effect of impurity is treated both via the self-energy correction and the vertex correction. It is found that the incommensurate (IC) spin fluctuations at frequencies above the spin gap are enhanced notably and the incommensurability is reduced, when impurities are introduced. These effects are less prominent with the increase in dopings. For low frequencies in the spin gap the IC spin fluctuations is enhanced with no reduction in incommensurability. The vertex corrections within the ladder approximation do not significantly modify the renormalized-bubble result, but it induces additional excitations in the spin gap. These results are qualitatively consistent with experiments.
机译：从理论上研究了非磁性杂质对d_（x〜2-y〜2）波超导体自旋响应的影响。从平均场t-t'-J模型的色散出发，我们基于自洽t矩阵逼近和随机相位逼近进行计算。杂质的影响通过自能校正和顶点校正来处理。已经发现，当引入杂质时，在自旋间隙以上的频率处的不相称（IC）自旋波动显着增强，并且不通性减小。随着掺杂的增加，这些作用不太明显。对于自旋间隙中的低频，IC自旋波动会增加，而无法降低不可通约性。梯形近似中的顶点校正不会显着修改重新标准化的气泡结果，但会在自旋间隙中引起其他激励。这些结果与实验在质量上是一致的。

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