Constraints on the Primordial Black Hole Abundance from the First
  Advanced LIGO Observation Run Using the Stochastic Gravitational-Wave
  Background
  Advanced LIGO's discovery of gravitational-wave events is stimulating
extensive studies on the origin of binary black holes. Assuming that the
gravitational-wave events can be explained by binary primordial black hole
mergers, we utilize the upper limits on the stochastic gravitational-wave
background given by Advanced LIGO as a new observational window to
independently constrain the abundance of primordial black holes in dark matter.
We show that Advanced LIGO's first observation run gives the best constraint on
the primordial black hole abundance in the mass range $1 M_\odot \lesssim
M_\text{PBH}\lesssim 100 M_\odot$, pushing the previous microlensing and dwarf
galaxy dynamics constraints tighter by 1 order of magnitude. Moreover, we
discuss the possibility to detect the stochastic gravitational-wave background
from primordial black holes, in particular from subsolar mass primordial black
holes, by Advanced LIGO in the near future.
