Fig. 4: Sketch of the Fermi surface.

a Crystallographic structure of tri-layer Hg1223. We sketch the presence of AFM order in the IP (purple arrow) and charge order (orange wave) in the OPs. b Corresponding reconstructed Fermi surface in presence of AFM order in the IP leading to a hole pocket (purple, F2 QO frequency) and CO order in the OP leading to an electron pocket (orange, F3 QO frequency). Both pockets are located in the nodal region of the quarter of the first Brillouin zone. Magnetic breakdown tunnelling between the pockets leads to an additional frequency F1 ≈ F3 − F2.