We present measurements of the specific heat, the electrical resistivi
ty, the Hall effect, and the magnetic susceptibility of CeAuAl3, a new
heavy-electron compound that crystallizes in an ordered derivative of
the tetragonal BaAl4-type structure. For comparison we have also done
some of these measurements on the isostructural non-magnetic referenc
e compound LaAuAl3, which appears to be a simple metal. Below T-N = 1.
32K, CeAuAl3 orders antiferromagnetically and below 1K, we encounter F
ermi liquid behaviour with considerably enhanced effective masses, i.e
., a quadratic temperature dependence of the resistivity with a large
prefactor and a sizable linear-in-T contribution to the specific heat.
This linear-in-T contribution increases by more than a factor 50 from
its value at T much greater than T-N to its value at T < T-N. Consequ
ently CeAuAl3 develops a heavy-electron ground state, coexisting with
antiferromagnetic order. The small energy scales involved in the probl
em make CeAuAl3 a good candidate for tuning it, by varying external pa
rameters, towards a quantum critical point. At high temperatures we ob
serve local moment behaviour. From the temperature dependence of the m
agnetic susceptibility and the specific heat we have derived the cryst
alline-electric-field-split level scheme of the Ce3+ J = 5/2 multiplet
. Distinct features in the electrical resistivity provide additional e
vidence for this level splitting.