We have measured the low-temperature conductance of a one-dimensional islan
d embedded in a single mode quantum wire. The quantum wire is fabricated us
ing the cleaved edge overgrowth technique and the tunneling is through a si
ngle state of the island. Our results show that while the resonance line sh
ape: fits the derivative of the Fermi function the intrinsic linewidth decr
eases in a power law fashion as the temperature is reduced. This behavior a
grees quantitatively with Furusaki's model for resonant tunneling in a Lutt
inger liquid.