Ong construction for the reconstructed Fermi surface of underdoped cuprates

Using the Ong construction for a two-dimensional metal, we show that the sign change in the Hall coefficient ${R}_{\mathrm{H}}$ of underdoped hole-doped cuprates at low temperature is consistent with the emergence of biaxial charge order recently proposed to explain the observation of low-frequency quantum oscillations. The sharp evolution of ${R}_{\mathrm{H}}$ with temperature, however, can only be reconciled by incorporating a highly anisotropic quasiparticle scattering rate. The magnitude and form of the scattering rate extracted from the fitting imply that those quasiparticles at the vertices of the reconstructed pocket(s) approach the boundary of incoherence at the onset of charge order.