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arXiv · 0911.4101

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

Yuji Hamamoto·Thibaut Jonckheere·Takeo Kato·Thierry Martin
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Abstract

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.

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Yuji Hamamoto, Thibaut Jonckheere, Takeo Kato, Thierry Martin. 2010-03-08. Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions. https://doi.org/10.1103/physrevb.81.153305

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