We have measured directly the thermal conductance between electrons and pho
nons in ultrathin Hf and Ti films at millikelvin temperatures. The experime
ntal data indicate that electron-phonon coupling in these films is signific
antly suppressed by disorder. The electron cooling time tau (epsilon) follo
ws the T-4 dependence with a record-long value tau (epsilon)=25 ms at T=0.0
4 K. The hot-electron detectors of far-infrared radiation, fabricated from
such films, are expected to have a very high sensitivity. The noise-equival
ent power of a detector with the area 1 mum(2) and the noise limited by flu
ctuations of the temperature are expected to be (2-3)x10(-20) W/root Hz, wh
ich is two orders of magnitude smaller than that of the state-of-the-art bo
lometers. (C) 2001 American Institute of Physics.