arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0911.4101cond-mat.mes-hall
收藏

强电子相互作用下介观电容器的动态响应

Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions

Yuji Hamamoto, Thibaut Jonckheere, Takeo Kato, Thierry Martin

摘要:

为了探讨弛豫电阻的普适性,我们考虑了存在强电子相互作用的一维介观电容器,并计算了其导纳。我们使用微扰理论,重整化群参数,量子蒙特卡罗计算的组合来处理整个参数范围内的点-铅耦合。当线中的相互作用足够弱时,即使在存在强库仑阻塞的情况下,弛豫电阻也是普遍的。我们预测并观察到一个Luttinger参数$K<1/2$的量子相变到非相干制度。可以使用耦合到分数量子霍尔效应中的边缘态的量子点来测试结果。

英文摘要:

We consider a one dimensional mesoscopic capacitor in the presence of strong electron interactions and compute its admittance in order to probe the universal nature of the relaxation resistance. We use a combination of perturbation theory, renormalization group arguments, and quantum Monte Carlo calculation to treat the whole parameter range of dot-lead coupling. The relaxation resistance is universal even in the presence of strong Coulomb blockade when the interactions in the wire are sufficiently weak. We predict and observe a quantum phase transition to an incoherent regime for a Luttinger parameter $K<1/2$. Results could be tested using a quantum dot coupled to an edge state in the fractional quantum Hall effect.

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。

↑