Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates

Recent quantum oscillation measurements on underdoped cuprates are shown to be consistent with the predictions of a mean field theory of the $1∕8$ magnetic antiphase stripe order proposed to occur in high-$T_c$ cuprates. In particular, for intermediate values of the stripe order parameter, the magnetotransport is found to be dominated by an electron pocket, whose size is sensitive to the value of the density wave potential.

Figure 1

Sketch of the magnetic and charge density in the $1∕8$ stripe state proposed for cuprate superconductors. Circles represent copper ions with their surrounding oxygens, arrows denote the copper spins, and empty circles indicate the “charge stripe” (antiphase domain wall).

Figure 2

(a) Fermi surface from Eq. (1), corresponding to a hole density of 1/8, plotted in the first quadrant of the Brillouin zone of the underlying square lattice (note that $\pi ∕a$ momentum space units are used in all figures). (b) Fermi surface in (a) plus its images under translation by the stripe order (multiples of ${\mathbf{Q}}_{\pm }$), equivalent to Eq. (2) with $V=V_c=0$.

Figure 3

Fermi surfaces from Eq. (2) with a hole doping of 1/8 plotted in the first quadrant of the Brillouin zone of the underlying square lattice: (a) $V=0.1\mathrm{eV}$, $V_c=0$, (b) $V=0.2\mathrm{eV}$, $V_c=0$, (c) $V=0.2\mathrm{eV}$, $V_c=0.15\mathrm{eV}$, and (d) $V=0.2\mathrm{eV}$, $V_c=-0.2\mathrm{eV}$.

Figure 4

Fermi surface from Eq. (2) with $V=0$ and (a) $V_c=0.1\mathrm{eV}$ and (b) $V_c=0.2\mathrm{eV}$, for $1∕8$ hole doping, plotted in the first quadrant of the Brillouin zone of the underlying square lattice.