Hall effect in cuprates with incommensurate spin-density wave

TL;DR

This paper investigates whether collinear incommensurate spin-density waves can explain the Hall number behavior in cuprates, concluding they are unlikely candidates compared to spiral SDW explanations.

Contribution

It provides a comparative analysis of collinear versus spiral SDW effects on Hall number in cuprates, highlighting the limitations of collinear SDW in explaining experimental observations.

Findings

Collinear incommensurate SDW fails to reproduce the $n_H o p$ behavior at low doping.

Characteristic features predicted by collinear SDW are not observed experimentally.

Spiral SDW remains a more plausible explanation for the Hall number jump.

Abstract

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 {\it collinear} incommensurate SDW as another possible explanation of this phenomenon, distinct from the incommensurate {\it spiral} SDW proposal. We examine the effect of different SDW strengths and wavevectors and we find that the $n_H\sim p$ behavior is hardly reproduced at low doping. 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.