Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates

TL;DR

This paper proposes that spiral antiferromagnetic order causes Fermi surface reconstruction in cuprates, explaining the observed Hall number change and suggesting experimental tests to distinguish magnetic orders.

Contribution

It introduces a model where spiral antiferromagnetism explains Fermi surface changes and predicts observable signatures in quantum oscillation experiments.

Findings

Fermi surface reconstruction leads to hole pockets and Fermi arcs.

Charge-density wave order reduces Fermi surface to a single electron pocket.

Proposes quantum oscillation measurements to identify magnetic order type.

Abstract

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.