Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-11-20
Phys. Rev. B 81, (2010) 153305
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 4 figures, submitted to PRB
Scientific paper
10.1103/PhysRevB.81.153305
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.
Hamamoto Yuji
Jonckheere Thibaut
Kato Takeo
Martin Thierry
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