Novel non-local effects in three-terminal hybrid devices with quantum dot.

We predict non-local effect in the three-terminal hybrid device consisting of the quantum dot (QD) tunnel coupled to two normal and one superconducting reservoirs. It manifests itself as the negative non-local resistance and results from the competition between the ballistic electron transfer (ET) and the crossed Andreev scattering (CAR). The effect is robust both in the linear and non-linear regimes. In the latter case the screening of charges and the long-range interactions play significant role. We show that sign change of the non-local conductance depends on the subgap Shiba/Andreev states, and it takes place even in absence of the Coulomb interactions. The effect is large and can be experimentally verified using the four probe setup. Since the induced non-local voltage changes sign and magnitude upon varying the gate potential and/or coupling of the quantum dot to the superconducting lead, such measurement could hence provide a controlled and precise method to determine the positions of the Shiba/Andreev states. Our predictions ought to be contrasted with non-local effects observed hitherto in the three-terminal planar junctions where the residual negative non-local conductance has been observed at large voltages, related to the Thouless energy of quasiparticles tunneling through the superconducting slab.

Tunnel magnetoresistance in quantum dots in the presence of singlet and triplet states.

We study transport through a two-level quantum dot (QD) weakly coupled to ferromagnetic electrodes, the mutual magnetization orientation of which can be changed from a parallel to an antiparallel configuration. Calculations are performed in a sequential tunnelling regime taking into account an inter-level Coulomb and an exchange interaction on the QD with many-body electronic states. Our interests are mainly focused on the role of singlet and triplet states on the tunnel magnetoresistance (TMR). We have found that TMR characteristics strongly depend on different local spin configurations in the QD, which originate from an anti- or ferromagnetic exchange coupling J as well as its strength. A strong inter-channel Coulomb blockade (which influences the TMR) appears when the ground state is singly occupied. Activation of the singlet or the triplet states and competition between various tunnelling rates are responsible for the spin accumulation even in the parallel configuration. We have also found negative TMR and negative differential resistance (NDR) effects in the system with strong coupling asymmetry.

Dynamical polarization processes in double quantum dots coupled in series.

The polarization processes in a system of double quantum dots coupled in series with electrodes are studied in the limit of sequential tunnelling. The Coulomb interactions of accumulated charges on both quantum dots and the competition between dot-dot and dot-electrode coupling are responsible for the non-monotonic filling of each dot, which leads to a change of the sign of the polarization as a function of bias voltage. We show that this dynamical switching polarization effect is common and observable in various multidot systems.

Fano and Kondo resonance in electronic current through nanodevices.

Electronic transport through a quantum dot strongly coupled to electrodes is studied within a model with two conduction channels. It is shown that multiple scattering and interference of transmitted waves through both channels lead to Fano resonance associated with Kondo resonance. Interference effects are also pronouncedly seen in transport through the Aharonov-Bohm ring with the Kondo dot, where the current characteristics continuously evolve with the magnetic flux.