Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking

The existence of electronic symmetry breaking in the underdoped cuprates and its disappearance with increased hole density p are now widely reported. However, the relation between this transition and the momentum-space ($\overrightarrow{\mathrm{k}}$-space) electronic structure underpinning the superconductivity has not yet been established. Here, we visualize the $\overrightarrow{\mathrm{Q}}=0$ = 0 (intra–unit-cell) and $\overrightarrow{\mathrm{Q}}\ne 0$ (density-wave) broken-symmetry states, simultaneously with the coherent $\overrightarrow{\mathrm{k}}$-space topology, for Bi2Sr2CaCu2O8+δ samples spanning the phase diagram 0.06 ≤ p ≤ 0.23. We show that the electronic symmetry-breaking tendencies weaken with increasing p and disappear close to a critical doping pc = 0.19. Concomitantly, the coherent $\overrightarrow{\mathrm{k}}$-space topology undergoes an abrupt transition, from arcs to closed contours, at the same pc. These data reveal that the $\overrightarrow{\mathrm{k}}$-space topology transformation in cuprates is linked intimately with the disappearance of the electronic symmetry breaking at a concealed critical point.