We present measurements of the near-field heat transfer between the tip of a
thermal profiler and planar material surfaces under ultrahigh vacuum
conditions. For tip-sample distances below 10-8 m our results differ markedly
from the prediction of fluctuating electrodynamics. We argue that these
differences are due to the existence of a material-dependent small length scale
below which the macroscopic description of the dielectric properties fails, and
discuss a corresponding model which yields fair agreement with the available
data. These results are of importance for the quantitative interpretation of
signals obtained by scanning thermal microscopes capable of detecting local
temperature variations on surfaces