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Abstract
We investigate theoretically the ac conductivity of a cleantwo-channel spinless quantum wire in the presence of bothshort-ranged intra- and inter-channel electron–electroninteractions. In the Luttinger-liquid regime, we formulize theaction functional of the system with an external time-varyingelectric field. The obtained expression of ac conductivity forthe system within linear response theory is generally anoscillation function of the interaction strength, the drivingfrequency as well as the measured position in the wire. Thenumerical examples demonstrate that the amplitude of acconductivity is renormalized by the both interactions, and the dcconductivity of the system with inter-channel interaction issmaller than that without inter-channel interaction.
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