Nonlinear charge and energy dynamics of an adiabatically driven interacting quantum dot

ROMERO, JAVIER I.; ROURA-BAS, PABLO; ALIGIA, ARMANDO A.; ARRACHEA, LILIANA

Physical Review B

Amerian Physical Society

Año: 2017 vol. 95 p. 235117 - 235117

2469-9950

We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven interacting quantum dot in contact with a reservoir for arbitrary amplitudes of the driving potential. Westudy 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 ofthe 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 instantaneousJoule law characterized by a universal Büttiker resistance quantum R 0 = h/(2e^2) for each spin channel. We show that this law holds in the noninteracting 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 nontrivial energy exchange between electrons with different spin components.