Superconductivity induced by long-range repulsive interaction in hole-doped cuprates.

We analyze the t-Jz-V model with second- and third-neighbor hoppings to explore how superconductivity can emerge from long-range repulsive interactions in hole-doped cuprates. We show that long-range repulsion can be responsible for expelling holes from the stripes as pairs. This phenomenon is crucial because it explains the coexistence of superconducting pairs with non-superconducting stripes, the existence of a pair density wave (PDW)[1] and interaction energy competition that determines stripe separation. We use realistic values of t, t′, t′′, J, and V obtained by fitting experimental data and ab initio calculations[2] to calculate a magnetic-structure and superconducting phase diagram that closely matches the experimental results for different values of J and V. We discuss the effects of J and V on the phase diagram and propose a two-phase model to explain the properties of hole-doped cuprates such as LSCO, Nd-LSCO, and Eu-LSCO[3].

[1] Du, Z., Li, H., Joo, S. H., Donoway, E. P., Lee, J., Davis, J. C. S., … Fujita, K. (2020). Imaging the energy gap modulations of the cuprate pair-density-wave state. Nature, 580(7801), 65–70. doi:10.1038/s41586-020-2143-x

[2] Calzado, Carmen & Malrieu, J.-P. (2001). Proposal of an extended t-J Hamiltonian for high-Tc cuprates from ab initio calculations on embedded clusters. Physical Review B - Condensed Matter and Materials Physics. 63. 2145201-21452013.

[3] U.A. Diaz-Reynoso and F. Mireles (to be submitted to PRB)