Alternating current transport property for a two-channel interacting quantum wire

We study theoretically the alternating current (ac) transport property through a two-channel clean quantum wire of finite length in the presence of both inter-channel and intra-channel electron–electron (e–e) interactions. Using the bosonization technique and linear response theory, we have obtained analytical expressions of the ac conductance. Interestingly, the ac conductance oscillations, with two different frequencies, form a beat which governs the behavior of the transport property in the presence of inter-channel e–e interaction. This result provides us with a new way to control the transport property of narrow quantum wires by engineering the Fermi velocities in the two different channels, i.e., the electron density.