  We present a new family of exact black hole configurations, which is a
solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary
dimension. These solutions are asymptotically Lifshitz for any dynamical
critical exponent $z\geq 1$. It turns out that the existence of a nontrivial
scalar field is a direct consequence of breaking the spacetime isotropic
scaling symmetry. This black hole family accepts various interesting limits
that link it to well-known solutions in both the isotropic and anisotropic
cases. We study the thermodynamics of these field configurations showing that
the first law is satisfied and providing the corresponding Smarr formula, both
of these relations account for an electric contribution. Furthermore, we show
that for a certain parameter region, the anisotropic field configuration with a
nonzero scalar field is thermodynamically preferred. This observation, together
with a direct verification of the so-called scalarization conditions, suggest
that the emergence of the dilaton field is due to a mechanism similar to
spontaneous scalarization.
