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Register a new userEffective level attraction and magnetic flux-induced negative differential conductance in two double quantum dot molecules embedded in an Aharonov-Bohm ring
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Maria Loreto Ladron de Guevara
Publication date
2009
fields
Physics
and research's language is
English
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We study transport of non-interacting electrons through two quantum dot molecules embedded in an Aharonov-Bohm interferometer. The system in equilibrium exhibits bound states in the continuum (BIC) and total suppression of transmission. It also shows a magnetic flux-dependent effective level attraction and lines of perfect transmission when the intramolecular coupling is weak. Out of equilibrium, the current displays two kind of negative differential conductance (NDC) regions, which have different origins. One is generated by the usual mechanism of the NDC arising in a double quantum dot system. The other is induced by the magnetic flux, and it occurs at small voltages and for a well definite range of the intramolecular couplings. We explain this effect in terms of the level attraction displayed by the system.
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We define two laterally gated small quantum dots (~ 15 electrons) in an Aharonov-Bohm geometry in which the coupling between the two dots can be broadly changed. For weakly coupled quantum dots we find Aharonov-Bohm oscillations. In an intermediate coupling regime we concentrate on the molecular states of the double dot and extract the magnetic field dependence of the coherent coupling.
Electron tunneling through a two stage Kondo system constituted by a double quantum-dot molecule side coupled to a quantum wire, under the effect of a finite external potential is studied. We found that $I$-$V$ characteristic shows a negative differential conductance region induced by the electronic correlation. This phenomenon is a consequence of the properties of the two stage Kondo regime under the effect of an external applied potential that takes the system out of equilibrium. The problem is solved using the mean-field finite-$U$ slave-boson formalism.
The Josephson current through an Aharonov-Bohm (AB) interferometer, in which a quantum dot (QD) is situated on one arm and a magnetic flux $Phi$ threads through the ring, has been investigated. With the existence of the magnetic flux, the relation of the Josephson current and the superconductor phase is complex, and the system can be adjusted to $pi$ junction by either modulating the magnetic flux or the QDs energy level $varepsilon_d$. Due to the electron-hole symmetry, the Josephson current $I$ has the property $I(varepsilon_d,Phi)=I(-varepsilon_d,Phi+pi)$. The Josephson current exhibits a jump when a pair of Andreev bound states aligns with the Fermi energy. The condition for the current jump is given. In particularly, we find that the position of the current jump and the position of the maximum value of the critical current $I_c$ are identical. Due to the interference between the two paths, the critical current $I_c$ versus the QDs level $varepsilon_d$ shows a typical Fano shape, which is similar to the Fano effect in the corresponding normal device. But they also show some differences. For example, the critical current never reaches zero for any parameters, while the current in the normal device can reach zero at the destruction point.
We study the time-dependent transport of charge and spin through a ring-shaped region sequentially coupled to a weakly interacting quantum dot in the presence of an Aharonov-Bohm flux and spin-orbit interaction. The time-dependent modulation of the spin-orbit interaction, or of the corresponding Aharonov-Casher flux, together with the modulation of the dot-level induces an electrically pumped spin current even in absence of a charge current. The results beyond the adiabatic regime show that an additional rectification current proportional to cos(phi), being phi the relative phase between the time varying parameters, is generated. We discuss the relevance of such term in connection with recent experiments on out-of-equilibrium quantum dots.
A mesoscopic ring subject to the Rashba spin-orbit interaction and sequentially coupled to an interacting quantum dot, in the presence of Aharonov-Bohm flux, is proposed as a flux tunable tunneling diode. The analysis of the conductance by means of the nonequilibrium Greens function technique, shows an intrinsic bistability at varying the Aharonov-Bohm flux when 2U > pi Gamma, U being the charging energy on the dot and Gamma the effective resonance width. The bistability properties are discussed in connection with spin-switch effects and logical storage device applications.
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