Crossover from weakly-disordered Fermi liquid to luttinger liquid in quasi-1D nanostructures

We investigated the temperature-dependent conductance of a long and narrow high-mobility channel, which is formed from an AlGaAs/GaAs heterostructure using the split-gate technique. When the channel is wider than 100 nm, in the range of 1-10 K we observe logarithmic temperature dependence, which is a key signature of the interaction correction in the quasi-one-dimensional weakly-disordered Fermi liquid. For the narrowest channels with width smaller than 100 nm, we observe power-law dependences, which are typical for the Luttinger liquid. The crossover from the weakly-disordered Fermi liquid to the Luttinger liquid takes place when the channel width corresponds to 2-3 one-dimensional subbands.