Many-body Correlation Effect on Mesoscopic Charge Relaxation

Abstract

We investigate in a nonperturbative way the dynamics of a correlated quantum capacitor. We find that the many-body correlations do not disturb the universal low-frequency relaxation resistance per channel, $R_q(\omega =0)=h/4e^2$ ensured by the Korringa-Shiba rule whereas the interpretation of the quantum capacitance $C_q$ in terms of the density of states fails when strong correlations are present. The AC resistance $R_q(\omega )$ shows huge peaks (with values larger than $h/4e^2$) at $\hslash \omega \approx \pm {\Gamma }^{\ast }$, where ${\Gamma }^{\ast }$ is the renormalized level broadening. These peaks are merged to a single one at $\omega =0$ when a finite Zeeman field is applied comparable to ${\Gamma }^{\ast }$. The observed features of $R_q$, being most evident in the Kondo regime, are attributed to the generation of particle-hole excitations in the contacts accomplished by spin-flip processes in the dot.

5 pages, 4 figures

References in corpus (4)

• An On-Demand Coherent Single Electron Source
• Energy resolution and discretization artefacts in the numerical renormalization group
• Mesoscopic Charge Relaxation
• Delayed currents and interaction effects in mesoscopic capacitors

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