Importance of Long-Range Hopping for Superconductivity in the Emery Model

The infinite-layer cuprate superconductors are the prototypical material family for exploring unconventional superconductivity and correlated electronic phenomena. We present a numerical study using the dynamical vertex approximation [1] of a three-band Emery model [2] that goes beyond the one-band Hubbard description. We find (i) a pseudogap [3] and (ii) that the band structure and the critical superconducting temperature depend strongly on the inclusion of long-range hoppings. When these hoppings are neglected, superconductivity is almost absent, whereas their inclusion yields a clear d-wave dome. [1] G. Rohringer et al., Rev. Mod. Phys. 90, 025003 (2018). [2] V. J. Emery, Phys. Rev. Lett. 58, 2794 (1987). [3] M. O. Malcolms et al., arXiv:2412.14951 (2024).