Using the equation of motion, we investigate theoretically the dynamical ac conductance of a clean Luttinger-liquid quantum wire adiabatically coupled to Fermi liquid electron reservoirs in the presence of short-ranged electron-electron interactions. For a perfect single mode quantum wire, in the limit of zero-ranged interaction we conclude that the static dc conductance of omega -> 0 is e(2)/h, which is independent of the electron interactions. While in the dynamical case of omega not equal 0, the ac conductance oscillates with the amplitude e(2)/h and the period which depends on the interaction strength and the driving frequency as well as the position in the wire.
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hunan normal univ, dept phys, changsha 410081, peoples r china. chinese acad sci, int ctr mat phys, shenyang 110015, peoples r china.;zhou, gh (reprint author), hunan normal univ, dept phys, changsha 410081, peoples r china;ghzhou@hunnu.edu.cn
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