  We study a two component Bose-Einstein condensate in the presence of an
inhomogeneous artificial gauge field. In response to this field, the condensate
forms a localised vortex lattice structure that leads to a non-trivial symmetry
breaking in the phase separated regime. The underlying physical mechanism can
be understood by considering the energy landscape and we present a simplified
model that is capable of reproducing the main features of the phase separation
transition. The intuition gained by numerically solving this simplified model
is then corroborated using the analytical Thomas-Fermi model.
