Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot
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 , 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 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.
Cite
@article{arxiv.1610.00308,
title = {Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot},
author = {Javier I. Romero and Pablo Roura-Bas and Armando A. Aligia and Liliana Arrachea},
journal= {arXiv preprint arXiv:1610.00308},
year = {2017}
}