Abstract
Using the equation of motion, we investigate theoretically thedynamical ac conductance of a clean Luttinger-liquid quantum wireadiabatically coupled to Fermi liquid electron reservoirs in thepresence of short-ranged electron-electron interactions. For aperfect single mode quantum wire, in the limit of zero-rangedinteraction we conclude that the static dc conductance ofω→0 is e2/h, which is independent of theelectron interactions. While in the dynamical case ofω≠0, the ac conductance oscillates with the amplitudee2/h and the period which depends on the interaction strengthand the driving frequency as well as the position in the wire.
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