  We report Atacama Large Millimeter/submillimeter Array (ALMA) 1.3 mm
continuum upper limits for 5 planetary-mass companions DH Tau B, CT Cha B, GSC
6214-210 B, 1RXS 1609 B, and GQ Lup B. Our survey, together with other ALMA
studies, have yielded null results for disks around young planet-mass
companions and placed stringent dust mass upper limits, typically less than 0.1
M_earth, when assuming dust continuum is optically thin. Such low-mass gas/dust
content can lead to a disk lifetime estimate (from accretion rates) much
shorter than the age of the system. To alleviate this timescale discrepancy, we
suggest that disks around wide companions might be very compact and optically
thick, in order to sustain a few Myr of accretion yet have very weak
(sub)millimeter flux so as to still be elusive to ALMA. Our order-of-magnitude
estimate shows that compact optically-thick disks might be smaller than 1000
R_jup and only emit ~micro-Jy of flux in the (sub)millimeter, but their average
temperature can be higher than that of circumstellar disks. The high disk
temperature could impede satellite formation, but it also suggests that mid- to
far-infrared might be more favorable than radio wavelengths to characterize
disk properties. Finally, the compact disk size might imply that dynamical
encounters between the companion and the star, or any other scatterers in the
system, play a role in the formation of planetary-mass companions.
