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Ac Conductance And Nonsymmetrized Noise At Finite Frequency In Quantum Wires And Carbon Nanotubes

机译：量子线和碳纳米管中有限频率的交流电导率和非对称噪声

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We calculate the ac conductance and the finite-frequency nonsymmetrized noise in interacting quantum wires and single-wall carbon nanotubes in the presence of an impurity. We observe a strong asymmetry in the frequency spectrum of the nonsymmetrized excess noise, even in the presence of the metallic leads. We find that this asymmetry is proportional to the differential excess ac conductance of the system, defined as the difference between the ac differential conductances at finite and zero voltage, and thus disappears for a linear system. In the quantum regime, for temperatures much smaller than the frequency and the applied voltage, we find that the emission noise is exactly equal to the impurity partition noise. For the case of a weak impurity we expand our results for the ac conductance and the noise perturbatively. In particular, if the impurity is located in the middle of the wire or at one of the contacts, our calculations show that the noise exhibits oscillations with respect to frequency, whose period is directly related to the value of the interaction parameter g.
机译：我们计算了在存在杂质的情况下相互作用的量子线和单壁碳纳米管中的交流电导率和有限频率的非对称噪声。即使在存在金属引线的情况下，我们也观察到非对称过量噪声在频谱中的强烈不对称性。我们发现，这种不对称与系统的差分交流电导率成正比，交流电导率定义为有限电压和零电压下的交流差分电导之间的差，因此对于线性系统消失了。在量子状态下，对于温度远小于频率和施加电压的温度，我们发现发射噪声与杂质分配噪声完全相等。对于杂质较弱的情况，我们扰动地扩展了交流电导率和噪声的结果。特别是，如果杂质位于导线的中间或触点之一处，则我们的计算表明，噪声相对于频率表现出振荡，其周期与相互作用参数g的值直接相关。

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