Fermi surface reconstruction and drop of Hall number due to spiral   antiferromagnetism in high-$T_c$ cuprates
  We show that a Fermi surface reconstruction due to spiral antiferromagnetic order may explain the rapid change in the Hall number as recently observed near optimal doping in cuprate superconductors [Badoux~\textit{et. al.}, Nature \textbf{531}, 210 (2016)]. The single-particle spectral function in the spiral state exhibits hole pockets which look like Fermi arcs due to a strong momentum dependence of the spectral weight. Adding charge-density wave order further reduces the Fermi surface to a single electron pocket. We propose quantum oscillation measurements to distinguish between commensurate and spiral antiferromagnetic order. Similar results apply to certain metals in which topological order replaces antiferromagnetic order. 
Andreas Eberlein, Walter Metzner, Subir Sachdev, Hiroyuki Yamase
cond-mat.str-el cond-mat.supr-con