The primordial black hole from running curvaton
  In light of our previous work \cite{Liu:2019xhn}, we investigate the
possibility of formation for primordial black-hole during preheating period, in
which we have implemented the instability of the Mathieu equation. For
generating sufficient enough enhanced power spectrum, we choose some proper
parameters belonging to the narrow resonance. To characterize the full power
spectrum, the enhanced part of the power spectrum is depicted by the $\delta$
function at some specific scales, which is highly relevant with the mass of
inflaton due to the explicit coupling between the curvaton and inflaton. After
the inflationary period (including the preheating period), there is only one
condition satisfying with the COBE normalization upper limit. Thanks to the
huge choices for this mass parameter, we can simulate the value of abundance of
primordial black holes nearly covering all of the mass ranges, in which we have
given three special cases. One case could account for the dark matter in some
sense since the abundance of a primordial black hole is about $75\%$. At late
times, the relic of exponential potential could be approximated to a constant
of the order of cosmological constant dubbed as a role of dark energy. Thus,
our model could unify dark energy and dark matter from the perspective of
phenomenology. Finally, it sheds new light for exploring Higgs physics.
