Antiferromagnetic fluctuations in two dimensions cause a decrease in spectral weight at so-called hot spots associated with the pseudogap in electron-doped cuprates. In the $2\text{D}$ Hubbard model, these hot spots occur when the Vilk criterion is satisfied, namely, when the spin correlation length exceeds the thermal de Broglie wavelength. Using the two-particle self-consistent approach, here we show that this criterion may be violated near the antiferromagnetic quantum critical point when sufficient disorder is added to the model. Static disorder decreases inelastic scattering, in contradiction with Matthiessen's rule, leading to a shift in the position of the quantum critical point and a modification of the conditions for the appearance of hot spots. This opens the road to a study of the interplay between disorder, antiferromagnetic fluctuations, and superconductivity in electron-doped cuprates.

中文翻译：

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电子掺杂铜酸盐中热点的无序效应

二维中的反铁磁波动导致与电子掺杂铜酸盐中的赝能隙相关的所谓热点处的光谱权重降低。在里面$2\text{D}$Hubbard 模型中，这些热点出现在满足 Vilk 准则时，即当自旋相关长度超过热德布罗意波长时。使用双粒子自洽方法，我们在这里表明，当向模型中添加足够的无序时，在反铁磁量子临界点附近可能会违反该准则。静态无序减少了非弹性散射，这与马蒂森的规则相矛盾，导致量子临界点位置的变化和热点出现条件的改变。这为研究电子掺杂铜酸盐中的无序、反铁磁波动和超导性之间的相互作用开辟了道路。