Fig. 5: Charge density wave and Fermi surface reconstruction in Tl2Ba2CuO6+δ.

a Fermi surface of Tl2201 (see Methods), with symmetry labels and volume corresponding to 0.25 doped holes (volume is 1 + p). The dashed line is the antiferromagnetic Brillouin zone of the cuprates. CDW order (arrows) may cause a reconstruction yielding electron (red) and hole (green) pockets shown in b. c Phase diagram of overdoped Tl2201. CDW order is observed for doping p < pCDW ≈ 0.265 (dark green region). High-frequency quantum oscillations are observed for p ≥ 0.2724 (sand coloured region and red squares)24. CDW existence is undetermined in light green region. CDW onset temperatures TCDW are shown by black circles, for p = 0.23 the open circle represents an upper bound. Red line is superconducting Tc with samples measured here denoted by red filled circles. d The high-field/low-temperature Hall number21,51 (green squares). Lines of nH = p and nH = p + 1 are marked, with connecting dashed line. CDW peak intensity for T = Tc (black circles). Dotted line is a guide to the eye passing through black circles and pCDW.