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

Yuji Hamamoto (1) , Thibaut Jonckheere (2) , Takeo Kato (1) , Thierry Martin (2)

1 ISSP - Institute for Solid State Physics [Tokyo]
2 CPT - Centre de Physique Théorique - UMR 6207

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.

Mots clés: Mesoscopic capacitor; relaxation resistance; electron interactions; dynamics response; Luttinger liquid; fractional quantum Hall effect; Quantum Monte Carlo

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Yuji Hamamoto, Thibaut Jonckheere, Takeo Kato, Thierry Martin. Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 81 (15), pp.153305. ⟨10.1103/PhysRevB.81.153305⟩. ⟨hal-00434358⟩