A two dimensional system of strongly correlated fermions can be realis
ed by a fluid monolayer of He-3 adsorbed on an atomically flat surface
. We report extensive measurements of the heat capacity, c, of He-3 ad
sorbed an graphite plated with two layers of hydrogen deuteride (HD) o
ver a closely spaced grid of coverages in the temperature range 1-80mK
. The quasiparticle effective mass ratio, inferred from the linear tem
perature coefficient of the heat capacity, increases from near unity a
t low densities and appears to diverge approaching localisation. The m
aximum value of m/m toe are able to unambiguously extract from the da
ta is 13 at a density 5 nm(-2). At this density c/T is temperature ind
ependent only below 5mK. The behaviour of m/m and F-0(a), inferred fr
om magnetization data, are consistent with the model of almost-localis
ed fermions. We can trade the evolution of strong finite temperature d
eviations from Fermi liquid behaviour as the density of the film and h
ence m/m are increased. At sufficiently low temperature this correcti
on is of T-2 form going over to a large TlnT deviation for T > 0.05 T-
F, as predicted for 2D spin fluctuations. Thus in this system 'non-Fe
rmi liquid' behaviour extends to very low temperatures in the strongly
correlated, large m/m, limit.