4 research outputs found
Exact results for nonlinear ac-transport through a resonant level model
We obtain exact results for the transport through a resonant level model
(noninteracting Anderson impurity model) for rectangular voltage bias as a
function of time. We study both the transient behavior after switching on the
tunneling at time t = 0 and the ensuing steady state behavior. Explicit
expressions are obtained for the ac-current in the linear response regime and
beyond for large voltage bias. Among other effects, we observe current ringing
and PAT (photon assisted tunneling) oscillations.Comment: 7 page
Charge transport through single molecules, quantum dots, and quantum wires
We review recent progresses in the theoretical description of correlation and
quantum fluctuation phenomena in charge transport through single molecules,
quantum dots, and quantum wires. A variety of physical phenomena is addressed,
relating to co-tunneling, pair-tunneling, adiabatic quantum pumping, charge and
spin fluctuations, and inhomogeneous Luttinger liquids. We review theoretical
many-body methods to treat correlation effects, quantum fluctuations,
nonequilibrium physics, and the time evolution into the stationary state of
complex nanoelectronic systems.Comment: 48 pages, 14 figures, Topical Review for Nanotechnolog
Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
We investigate nonequilibrium properties of the single impurity Anderson
model by means of the functional renormalization group (fRG) within Keldysh
formalism. We present how the level broadening Gamma/2 can be used as flow
parameter for the fRG. This choice preserves important aspects of the Fermi
liquid behaviour that the model exhibits in case of particle-hole symmetry. An
approximation scheme for the Keldysh fRG is developed which accounts for the
frequency dependence of the two-particle vertex in a way similar but not
equivalent to a recently published approximation to the equilibrium Matsubara
fRG. Our method turns out to be a flexible tool for the study of weak to
intermediate on-site interactions U <= 3 Gamma. In equilibrium we find
excellent agreement with NRG results for the linear conductance at finite gate
voltage, magnetic field, and temperature. In nonequilibrium, our results for
the current agree well with TD-DMRG. For the nonlinear conductance as function
of the bias voltage, we propose reliable results at finite magnetic field and
finite temperature. Furthermore, we demonstrate the exponentially small scale
of the Kondo temperature to appear in the second order derivative of the
self-energy. We show that the approximation is, however, not able to reproduce
the scaling of the effective mass at large interactions.Comment: [v2] - minor changes throughout the text; added new Fig. 3; corrected
pert.-theory data in Figs. 10, 11; published versio