Transition from semi-classical to quantum transport in quasi-ballistic wires

We have found evidence of a transition from the semi-classical to quantum transport in quasi-ballistic narrow aires constructed in 2DEG system of a GaAs/AlGaAs heterojunction. By increasing the ratio of the mean free path to the wire length while keeping the wire width constant, we find a clear offset between the semi-classical and the quantum behaviors in the two-terminal measurement of the wire resisitance. We can explain such an offset by taking into account the transmission probability of electron waves propagating in the wire.