  We present the results of a search for new circumstellar disks around
low-mass stars and brown dwarfs with spectral types >K5 that are confirmed or
candidate members of nearby young moving groups. Our search input sample was
drawn from the BANYAN surveys of Malo et al. and Gagn\'e et al. Two-Micron
All-Sky Survey and Wide-field Infrared Survey Explorer data were used to detect
near- to mid-infrared excesses that would reveal the presence of circumstellar
disks. A total of 13 targets with convincing excesses were identified: four are
new and nine were already known in the literature. The new candidates are 2MASS
J05010082$-$4337102 (M4.5), J08561384$-$1342242 (M8$\,\gamma$),
J12474428$-$3816464 (M9$\,\gamma$) and J02265658$-$5327032 (L0$\,\delta$), and
are candidate members of the TW Hya ($\sim10\pm 3\,$Myr), Columba ($\sim
42^{+6}_{-4}\,$Myr) and Tucana-Horologium ($\sim 45\pm 4\,$Myr) associations,
with masses of $120$ and $13-18\,M_{\mathrm{Jup}}$. The M8$-$L0 objects in
Columba and Tucana-Horologium are potentially among the first substellar disk
systems aged $\sim 40\,$Myr. Estimates of the new candidates' mean disk
temperatures and fractional luminosities are in the ranges $\sim 135-520\,$K
and $0.021-0.15$, respectively. New optical spectroscopy of J0501$-$4337
reveals strong H$\alpha$ emission, possibly indicating ongoing accretion,
provides a detection of lithium absorption and a radial velocity measurement
that is consistent with a membership to Columba. We also present a
near-infrared spectrum of J0226$-$5327 that reveals Paschen $\beta$ emission
and shows signs of low surface gravity, consistent with accretion from a disk
and a young age.
