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arXiv · 1610.00308

Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot

Javier I. Romero·Pablo Roura-Bas·Armando A. Aligia·Liliana Arrachea
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Abstract

We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven interacting quantum dot in contact to a reservoir for arbitrary amplitudes of the driving potential. We study within this framework the Anderson impurity model with a local ac gate voltage. We show that the exact adiabatic quantum dynamics of this system is fully determined by the behavior of the charge susceptibility of the frozen problem. At $T=0$, we evaluate the dynamic response functions with the numerical renormalization group (NRG). The time-resolved heat production exhibits a pronounced feature described by an instantaneous Joule law characterized by an universal resistance quantum $R_0=h/(2 e^2)$ for each spin channel. We show that this law holds in non-interacting as well as in the interacting system and also when the system is spin-polarized. In addition, in the presence of a static magnetic field, the interplay between many-body interactions and spin polarization leads to a non-trivial energy exchange between electrons with different spin components.

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Javier I. Romero, Pablo Roura-Bas, Armando A. Aligia, Liliana Arrachea. 2016-10-02. Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot. https://doi.org/10.1103/physrevb.95.235117

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