Domain-wall crosses and propellers in binary Bose-Einstein condensates

For two-dimensional condensates, we introduce patterns formed by intersection of domain-walls (DWs) between immiscible species. Both symmetric and asymmetric cases are investigated, with equal or different numbers N1,2 of atoms in the two species. The case of a rotating trap is considered too. We identify stability regions of the fundamental quiescent “DW crosses” and rotating “DW propellers”, both symmetric and antisymmetric ones. In particular, the propellers are stable in a finite interval of the rotation frequencies, and asymmetric structures are stable in a finite interval of the values of N1/N2. The evolution of unstable patterns is also investigated. All the higher-order patterns, produced by the intersection of more than two DWs, are found to be unstable, rearranging themselves into the fundamental ones.