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arXiv 1202.0708cond-mat.mes-hall
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耦合到电阻量子的单通道导体:精确的交流电导和有限频率噪声

One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise

R. Zamoum, A. Crepieux, I. Safi

摘要:

我们考虑一个嵌入欧姆环境中的单通道相干导体,它具有良好的传输特性,其阻抗等于RC频率以下的电阻量子R_q=h/e^2。这种选择的动机是映射的Tomonaga-Luttinger液体与一个杂质的相互作用参数对应于特定的值K=1/2,允许一个cumbermionization程序的这个问题。“新”费米子具有与能量相关的传输幅度,该幅度结合了强相关效应,并通过与散射方法类似的表达式产生精确的直流电流和零频率噪声。我们回顾和讨论这些结果,为我们目前的目的。然后,我们计算,第一次,有限频率微分电导和有限频率非对称噪声。与直观的预期相反,这两个都不能在新费米子的散射方法中表达,即使它们仍然由传输幅度决定。更重要的是,有限频率电导服从一个确切的直流电流的关系,这是类似的微扰推导相对于弱隧道内的Tien-Gordon理论,并扩展到最近的任意强相互作用系统耦合最终到一个环境或/和分数电荷。我们还表明,排放过量噪声消失正是电子伏特以上,即使底层Tomonaga-Luttinger液体模型对应于一个多体相关系统。我们的结果适用于所有范围的温度,电压和频率低于RC频率,他们允许充分探索量子制度。

英文摘要:

We consider a one-channel coherent conductor with a good transmission embedded into an ohmic environment whose impedance is equal to the quantum of resistance R_q=h/e^2 below the RC frequency. This choice is motivated by the mapping of this problem to a Tomonaga-Luttinger liquid with one impurity whose interaction parameter corresponds to the specific value K=1/2, allowing for a refermionization procedure. The "new" fermions have an energy-dependent transmission amplitude which incorporates the strong correlation effects and yields the exact dc current and zero-frequency noise through expressions similar to those of the scattering approach. We recall and discuss these results for our present purpose. Then we compute, for the first time, the finite-frequency differential conductance and the finite-frequency non-symmetrized noise. Contrary to intuitive expectation, both cannot be expressed within the scattering approach for the new fermions, even though they are still determined by the transmission amplitude. Even more, the finite-frequency conductance obeys an exact relation in terms of the dc current which is similar to that derived perturbatively with respect to weak tunneling within the Tien-Gordon theory, and extended recently to arbitrary strongly interacting systems coupled eventually to an environment or/and with a fractional charge. We also show that the emission excess noise vanishes exactly above eV, even though the underlying Tomonaga-Luttinger liquid model corresponds to a many-body correlated system. Our results apply for all ranges of temperature, voltages and frequencies below the RC frequency, and they allow to explore fully the quantum regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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