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Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions Yuji...
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Transcript of Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions Yuji...
Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions
Yuji Hamamoto*, Thibaut Jonckheere, Takeo Kato*, Thierry Martin
**University of Tokyo, Kashiwa University of Tokyo, Kashiwa
Obergurgl 05/06/2010 (Phys. Rev. B 81, 153305 (2010))
(PHC Sakura)
Phys. Rev. B 2010Quantum RC circuit
Perspectives: quantum optics with electrons
Hambury Brown and Twiss experiment with single electrons
Hong –Ou-Mandel experiment with single electrons
Electrochemical capacitance
Charge relaxation resistance
Experimental verification, LPA ENS (Science 06)
MODELOur setup: a semi-infinite Luttiger Liquid with a Barrier
reservoir
Quantum point contact: backscattering
Quantum dot
AC modulated gate
No drastic modification of the relaxation resistance for the case of WEAK backscattering
SCALE !
Perturbation theory
Monte Carlo data
Scaling equations:
Tunneling strengthGrows
Tunneling reduced RG flow towards weak coupling with specified charge.
strong coupling between dot and reservoir
Tunneling amplitude
Dilute instanton gas description
Coherent transport(Thermal time=1/T)
Decoherence before charge relaxation is achieved
Quantum dot acts like a « reservoir »
Furusaki Matveev PRL02
CONCLUSION:
Relaxation resistance (renormalized by interactions) well defined, as longas interaction are sufficiently weak
KT phase transitiondot acts like an incoherent reservoirlow frequency resitence exceedsRC time diverges, and the relaxation resistancecannot be defined anymore.
Interactions in a 1D mesoscopic capacitor drastically modify its finite frequency behavior compared to single electron model
Phys. Rev. B 81, 153305 (2010)