The presence of incommensurate spiral spin-density waves (SDW) has been proposed to explain the $p$ (hole doping) to $1+p$ jump measured in the Hall number $n_H$ at a doping $p^{*}$. Here we explore incommensurate collinear SDW as another possible explanation of this phenomenon, distinct from the incommensurate spiral SDW proposal. We examine the effect of different SDW strengths and wave vectors, and we find that the $n_H\sim p$ behavior is hardly reproduced at low doping. Furthermore, the calculated $n_H$ and Fermi surfaces give characteristic features that should be observed; thus, the lack of these features in experiment suggests that the incommensurate collinear SDW is unlikely to be a good candidate to explain the $n_H\sim p$ observed in the pseudogap regime.

中文翻译：

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共线自旋密度波不等的铜酸盐中的霍尔效应

已经提出存在不相称的螺旋自旋密度波（SDW）来解释 $p$ （空穴掺杂）到 $\mathrm{1个}+p$ 在霍尔号中测得的跳跃 ${ñ}_H$ 在兴奋剂 $p^{*}$。在这里，我们探讨了不相称的共线SDW，作为对此现象的另一种可能的解释，这与不相称的螺旋SDW建议不同。我们研究了不同SDW强度和波矢的影响，发现${ñ}_H〜p$低掺杂几乎不能再现这种行为。此外，计算${ñ}_H$费米表面具有应观察到的特征；因此，实验中缺乏这些特征表明，不相称的共线SDW不太可能是解释该问题的好方法。${ñ}_H〜p$ 在伪间隙制度中观察到。