Vortex lattices in a spin-orbit coupled binary Bose-Einstein condensates with dipolar interaction

We consider the stationary state of a spin-orbit coupled (SOC) binary Bose-Einstein condensates with dipole-dipole interaction (DDI). Our results are obtained by numerically solving the Gross-Pitaevskii equation. It shows that the vortex structures is greatly affected by the polarization angle and SOC strength. For full repulsive interaction and small SOC strength, the spatial symmetry is well kept. Meanwhile, the dual-ring vortex chain is found...