We present the results of specific-heat and resistivity measurements a
s a function of temperature, magnetic field and hydrostatic pressure o
n the Kondo lattice CeNi2Ge2, the heavy-fermion superconductors CeCu2S
i2 and UBe13 as well as the low-carrier-density system Yb(4)AS(3) ''No
n-Fermi-liquid'' effects in the low-temperature normal-state propertie
s of the three former systems are consistent with the existence of a '
'nearby'' quantum critical point, presumably of antiferromagnetic type
. Yb(4)AS(3), though showing the outward appearance of a Landau-type h
eavy-fermion metal, behaves very differently, i.e. as an extreme two-f
luid system.