  We consider the mass-imbalanced sensibility for the emergence of vortex
patterns in the Bose-Einstein condensed binary mixture of rubidium-cesium
($^{85}$Rb-$^{133}$Cs), confined in quasi-two-dimensional harmonic traps, with
one species linearly perturbed in one direction. Non-dipolar coupled species
are chosen to highlight mass symmetry effects. We first analyze the condensed
mixture in the unperturbed non-rotating regime, where radial phase separation
is verified in the immiscible regime, which occurs for large ratio between
inter- and intra-species repulsive interactions. By going to the linear
perturbed regime, the radial phase separation that occurs in the immiscible
condition splits up with the two densities having their maxima at distinct
positions. In the rotating regime of both unperturbed and perturbed cases, the
minimum rotation is determined in terms of the inter-species interaction to
observe vortex structures. In the immiscible regime a dramatic spatial
interchange between the species is verified by increasing the rotation.
