Constraints on the ultralight scalar boson from Advanced LIGO and
  Advanced Virgo's first three observing runs using the stochastic
  gravitational-wave background
  Ultralight bosons are promising dark matter candidates and can trigger
superradiant instabilities of spinning black holes (BHs), resulting in
long-lived rotating "bosonic clouds" around the BHs and dissipating their
energy through the emission of monochromatic gravitational waves (GWs). We
focus on the scalar bosons minimally coupled with both isolated stellar-origin
BHs (SBH) and their binary merger remnants, and perform Bayesian data analysis
to search for the stochastic GW background from all the unstable modes that can
trigger the superradiant instabilities using the data of Advanced LIGO and
Advanced Virgo's first three observing runs. We find no evidence for such
signal, and hence rule out the scalar bosons within the mass range $[1.5,
16]\times10^{-13}$ eV, $[1.9, 8.3]\times10^{-13}$ eV and $[1.3,
17]\times10^{-13}$ eV at $95\%$ confidence level for isolated SBHs having a
uniform dimensionless spin distribution in $[0,1]$, $[0,0.5]$ and $[0.5,1]$,
respectively.
