We investigate the possibility of spin texture in the bilayer cuprate superconductor ${\mathrm{Bi}}_2{\mathrm{Sr}}_2{\mathrm{CaCu}}_2{\mathrm{O}}_{8+\delta }$ using cluster dynamical mean-field theory. The one-band Hubbard model with a small interlayer hopping and a Rashba spin-orbit coupling is used to describe the material. The $d$-wave order parameter is not much affected by the presence of the Rashba coupling, but a small triplet component appears. We find a spin texture circulating in the same direction around $\mathbf{k}=(0,0)$ and $\mathbf{k}=(\pi ,\pi )$ and stable against the superconducting phase. We predict that the amplitude of the spin structure is strongly affected by the pseudogap phenomenon, more so than the spectral function itself.

• Received 23 February 2021
• Accepted 29 June 2021

DOI:https://doi.org/10.1103/PhysRevB.104.024502