# Charge relaxation resistance in the cotunneling regime of multichannel Coulomb blockade: Violation of Korringa-Shiba relation

@article{Burmistrov2015ChargeRR,
title={Charge relaxation resistance in the cotunneling regime of multichannel Coulomb blockade: Violation of Korringa-Shiba relation},
author={Igor S. Burmistrov and Ya.I. Rodionov},
journal={Physical Review B},
year={2015},
volume={92},
pages={195412}
}
• Published 25 August 2015
• Physics
• Physical Review B
We study the low frequency admittance of a small metallic island coupled to a gate electrode and to a massive reservoir via a \emph{multi channel} tunnel junction. The ac current is caused by a slowly oscillating gate voltage. We focus on the regime of inelastic cotunneling in which the dissipation of energy (the real part of the admittance) is determined by two-electron tunneling with creation of electron-hole pairs on the island. We demonstrate that at finite temperatures but low frequencies…
5 Citations

## Figures from this paper

Cavity Photons as a Probe for Charge Relaxation Resistance and Photon Emission in a Quantum Dot Coupled to Normal and Superconducting Continua
• Physics
• 2016
Microwave cavities have been widely used to investigate the behavior of closed few-level systems. Here, we show that they also represent a powerful probe for the dynamics of charge transfer between a
Microwaves as a probe of quantum dot circuits: from Kondo dynamics to mesoscopic quantum electrodynamics
This thesis uses microwaves as probe of carbon nanotube quantum dot circuits. In a first experiment, a microwave excitation is directly applied to a circuit electrode for a quantum dot in the Kondo
Bismuth nanowires: electrochemical fabrication, structural features, and transport properties.
• Materials Science, Chemistry
Physical chemistry chemical physics : PCCP
• 2020
The prospects of electrodeposited Bi nanostructures for microelectronics are illustrated by the quantitative resistivity measurements of highly texturized Bi nanowires with a diameter of ca.
Spin and charge transport in thermally and ac driven nanodevices
• Physics
• 2017
En aquesta tesi estudiam les propietats de transport de dispositius electronics que operen en presencia de gradients de temperatura o potencials dependents del temps. Param mes atencio als efectes
Phase-Coherent Dynamics of Quantum Devices with Local Interactions
• Physics
Entropy
• 2020
This review illustrates how Local Fermi Liquid (LFL) theories describe the strongly correlated and coherent low-energy dynamics of quantum dot devices, and extends to out-of-equilibrium regimes, aimed at triggered single electron emission.

## References

SHOWING 1-10 OF 48 REFERENCES
Quantum to classical transition of the charge relaxation resistance of a mesoscopic capacitor
• Physics
• 2008
We present an analysis of the effect of dephasing on the single channel charge relaxation resistance of a mesoscopic capacitor in the linear low frequency regime. The capacitor consists of a cavity
Charge Relaxation Resistances and Charge Fluctuations in Mesoscopic Conductors
A brief overview is presented of recent work which investigates the time-dependent relaxation of charge and its spontaneous fluctuations on mesoscopic conductors in the proximity of gates. The
• Physics
• 2010
We study admittance and energy dissipation in an out-of-equilibrium single electron box. The system consists of a small metallic island coupled to a massive reservoir via single tunneling junction.
Mesoscopic quantum transport: Resonant tunneling in the presence of a strong Coulomb interaction.
• Physics
Physical review. B, Condensed matter
• 1994
A real-time approach is developed that allows the diagrammatic classification of resonant tunneling processes where different electrons tunnel coherently back and forth between the leads and the metallic island.
Strongly correlated dynamics in multichannel quantum RC circuits
• Physics
• 2013
We examine dissipation effects in a multichannel quantum RC circuit, comprising a cavity or single-electron box capacitively coupled to a gate and connected to a reservoir lead via several conducting
Charge relaxation resistance in the Coulomb blockade problem
• Physics
• 2009
We study the dissipation in a system consisting of a small metallic island coupled to a gate electrode and to a massive reservoir via single tunneling junction. The dissipation of energy is caused by
Delayed currents and interaction effects in mesoscopic capacitors
• Physics
• 2008
Department of Physics, Ben Gurion University, Beer Sheva 84105, Israel andAlbert Einstein Minerva Center for Theoretical Physics,Weizmann Institute of Science, Rehovot 76100, Israel(Dated: July 17,
Macroscopic charge quantization in single-electron devices
• Physics
• 2010
In a recent paper by the authors [I. S. Burmistrov and A. M. M. Pruisken, Phys. Rev. Lett. 101, 056801 (2008)] it was shown that single-electron devices (single-electron transistor or SET) display
Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Physics
Science
• 2006
The new mesoscopic effect reported here is relevant for the dynamical regime of all quantum devices.
Fermi liquid approach to the quantum RC circuit: Renormalization group analysis of the Anderson and Coulomb blockade models
• Physics
• 2012
We formulate a general approach for studying the low-frequency response of an interacting quantum dot connected to leads in the presence of oscillating gate voltages. The energy dissipated is