Rise and fall of the pseudogap in the Emery model, insights for cuprates

Abstract The pseudogap in high-temperature superconducting cuprates is an exotic state of matter, displaying emerging Fermi arcs and a momentum-selective suppression of spectral weight upon cooling. We show how these phenomena are captured in the three-band Emery model by performing dynamical vertex approximation calculations for its normal state. For the hole-doped parent compound, our results demonstrate the formation of a pseudogap due to short-ranged commensurate antiferromagnetic fluctuations. At larger doping values, progressively, incommensurate correlations and a metallic regime appear. Our results are in qualitative agreement with this doping trend in the normal state of cuprates, and hence, represent a step towards the uniform description of their phase diagrams within a single theoretical framework.