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We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

We theoretically investigate transport signatures of quantum interference in highly symmetric double quantum dots in a parallel geometry and demonstrate that extremely weak symmetry-breaking effects can have a dramatic influence on the…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Zeng-Zhao Li , Martin Leijnse

Pumping of charge (Q) in a closed ring geometry is not quantized even in the strict adiabatic limit. The deviation form exact quantization can be related to the Thouless conductance. We use Kubo formalism as a starting point for the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Doron Cohen

We calculate the time-dependent non-linear transport current through an interacting quantum dot in the single-electron tunneling regime (SET). We show that an additional dc current is generated by the electron-electron interaction by…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Felix Reckermann , Janine Splettstoesser , Maarten R. Wegewijs

A circulating current can be induced in the Fermi sea by displacing a scatterer, or more generally by integrating a quantum pump into a closed circuit. The induced current may have either the same or the opposite sense with respect to the…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Itamar Sela , Doron Cohen

We demonstrate single-electron pumping in a gate-defined carbon nanotube double quantum dot. By periodic modulation of the potentials of the two quantum dots we move the system around charge triple points and transport exactly one electron…

Mesoscale and Nanoscale Physics · Physics 2012-04-05 S. J. Chorley , J. Frake , C. G. Smith , G. A. C. Jones , M. R. Buitelaar

We present the conditional quantum dynamics of an electron tunneling between two quantum dots subject to a measurement using a low transparency point contact or tunnel junction. The double dot system forms a single qubit and the measurement…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Hsi-Sheng Goan , Gerard J. Milburn

We investigate transport through a tunnelling junction between an uncorrelated metallic lead and a Luttinger liquid when the latter is subjected to a time dependent perturbation. The tunnelling current as well as the electron energy…

Strongly Correlated Electrons · Physics 2009-11-07 Andrei Komnik , Alexander O. Gogolin

Quantum pumping holds great potential for future applications in micro- and nanotechnology. Its main feature, dissipationless charge transport, is theoretically possible via several different mechanisms. However, since no unambiguous…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markku Jaaskelainen , Frank Corvino , Christopher P. Search , Vassilios Fessatidis

We discuss the application of the adiabatic perturbation theory to analyze the dynamics in various systems in the limit of slow parametric changes of the Hamiltonian. We first consider a two-level system and give an elementary derivation of…

Statistical Mechanics · Physics 2015-05-14 C. De Grandi , A. Polkovnikov

The dynamics of charge qubit in a double quantum dot coupled to phonons is investigated theoretically in terms of a perturbation treatment based on a unitary transformation. The dynamical tunneling current is obtained explicitly. The result…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Zhuo-Jie Wu , Ka-Di Zhu , Xiao-Zhong Yuan , Yi-Wen Jiang , Hang Zheng

We demonstrate theoretically that it is possible to use Rabi oscillations to coherently control the electron tunneling in an asymmetric double quantum dot system, a quantum dot molecule. By applying an optical pump pulse we can excite an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Villas-Boas , A. O. Govorov , Sergio E. Ulloa

We consider the adiabatic pumping of charge through a mesoscopic one dimensional wire in the presence of electron-electron interactions. A two-delta potential model is used to describe the wire, which allows to obtain exactly the scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Devillard , Vladimir Gasparian , Thierry Martin

Pumping of charge in phase-coherent mesoscopic systems due to the out-of-phase modulation of two parameters has recently found considerable interest. We investigate the effect of inelastic processes on the adiabatically pumped current…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sang Wook Kim

The co-tunneling current through a two-level doubly occupied quantum dot weakly coupled to ferromagnetic leads is calculated in the Coulomb blockade regime. It is shown that the dependence of the differrential conductance on applied voltage…

Mesoscale and Nanoscale Physics · Physics 2012-04-10 A. U. Sharafutdinov , I. S. Burmistrov

We investigate adiabatic quantum pumping of chiral Majorana states in a system composed of two Mach--Zehnder type interferometers coupled via a quantum point contact. The pumped current is generated by periodic modulation of the phases…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 M. Alos-Palop , Rakesh P. Tiwari , M. Blaauboer

The time average of the fully nonlinear current through a double quantum dot, subject to an arbitrary combination of ac and dc voltages, is calculated exactly using the Keldysh nonequilibrium Green function technique. When driven on…

Condensed Matter · Physics 2007-05-23 Charles A. Stafford , Ned S. Wingreen

The effect of a Coulombic coupling on the dynamics of a quantum dot hybridized to leads is determined. The calculation treats the interaction between charge fluctuations on the dot and the dynamically generated image charge in the leads. A…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Florian Elste , David R. Reichman , Andrew J. Millis

We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with \pi/2 phase difference, we find that the pumping current strongly depends on the…

Statistical Mechanics · Physics 2014-11-24 Kota L. Watanabe , Hisao Hayakawa