  We consider a system of two massive, mutually interacting probe real scalar
fields, in zero temperature holographic backgrounds. The system does not have
any continuous symmetry. For a suitable range of the interaction parameters
adhering to the interaction potential between the bulk scalars, we have shown
that as one turns on the source for one scalar field, the system may go through
a second order quantum critical phase transition across which the second scalar
field forms a condensate. We have looked at the resulting phase diagram and
numerically computed the condensate. We have also investigated our system in
two different backgrounds: $AdS_4$ and $AdS$ soliton, and got similar phase
structure.
