  We investigate the quantum Lifshitz criticality in a general background of
Einstein-Maxwell-Dilaton gravity. In particular, we demonstrate the existence
of critical point with dynamic critical exponent z by tuning a nonminimal
coupling to its critical value. We also study the effect of nonminimal coupling
and exponent z to the Efimov states and holographic RG flow in the overcritical
region. We have found that the nonminimal coupling increases the instability
for a probe scalar to condensate and its back reaction is discussed. At last,
we give a quantum mechanics treatment to a solvable system with z=2, and
comment for generic z>2.
