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In these lecture notes we will consider systems in which the motion of electrons is confined to one dimension (1D). In these so-called quantum wires electron-electron interaction effects play an important role because the restricted…

Strongly Correlated Electrons · Physics 2009-09-08 Sebastian Eggert

Electron transport experiments on two lateral quantum dots coupled in series are reviewed. An introduction to the charge stability diagram is given in terms of the electrochemical potentials of both dots. Resonant tunneling experiments show…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. G. van der Wiel , S. De Franceschi , J. M. Elzerman , T. Fujisawa , S. Tarucha , L. P. Kouwenhoven

We study the electronic transport through a quantum wire (QW) with a strong side coupled quantum dot (QD). We obtain a linear conductance with lateral peaks when the gate voltage, is located near the edge of the conduction band. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Franco , E. V Anda , M. S. Figueira

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Inès Safi , H. J. Schulz

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

Electronic transport through a quantum wire sandwiched between two metallic electrodes and coupled to a quantum ring, threaded by a magnetic flux $\phi$, is studied. An analytic approach for the electron transport through the bridge system…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We study electronic transport through a strongly interacting quantum dot by using the finite temperature extension of Wilson's numerical renormalization group (NRG) method. This allows the linear conductance to be calculated at all…

Strongly Correlated Electrons · Physics 2007-05-23 T. A. Costi

We generalize the bosonization methods for systems in the half line that we discussed elsewhere, to study the effects of interactions on electronic systems coupled to impurities. We introduce a model for a quantum wire coupled with a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ana Lopez , Manuel Fuentes , Eduardo Fradkin

We consider electronic transport through a single-molecule junction where the molecule has a degenerate spectrum. Unlike previous transport models, and theories a rate-equations description is no longer possible, and the quantum coherences…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Maximilian G. Schultz

The conductance through a finite quantum dot network is studied as a function of inter-dot coupling. As the coupling is reduced, the system undergoes a transition from the antidot regime to the tight binding limit, where Coulomb resonances…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 August Dorn , Thomas Ihn , Klaus Ensslin , Werner Wegscheider , Max Bichler

We investigate phase coherent electronic transport in an open quantum system, which consists of quantum dots side-coupled to a nanowire. It is demonstrated that coherent switching can be characterized by adjusting the electronic energy. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Omar Valsson , Chi-Shung Tang , Vidar Gudmundsson

We examine the effects of long-range interactions in a quantum wire with two impurities. We employ the bosonization technique and derive an effective action for the system. The effect of the long-range interaction on the charging energy and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Kleimann , M. Sassetti , G. Cuniberti , B. Kramer

We discuss electronic transport through a lateral quantum dot close to the singlet-triplet degeneracy in the case of a single conduction channel per lead. By applying the Numerical Renormalization Group, we obtain rigorous results for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Walter Hofstetter , Herbert Schoeller

We study the effect of a dot-lead interaction on transport through a quantum dot hybridized to two semi-infinite Luttinger-liquid leads. A bosonization approach is applied to treat the interaction between charge fluctuations on the dot and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Florian Elste , David R. Reichman , Andrew J. Millis

We develop a theory of electron transport in a double quantum dot device recently proposed for the observation of the two-channel Kondo effect. Our theory provides a strategy for tuning the device to the non-Fermi-liquid fixed point, which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. Borda , L. I. Glazman , J. von Delft

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We investigate the transport and coherence properties of a double quantum dot coupled to a single damped boson mode. Our numerically results reveal how the properties of the boson distribution can be steered by altering parameters of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Brandes , N. Lambert

We present an exact solution of a supersymmetric nonlinear sigma model describing the crossover between a quantum dot and a disordered quantum wire with unitary symmetry. The system is coupled ideally to two electron reservoirs via…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. M. S. Macedo

We investigate theoretically the properties of the photon state and the electronic transport in a system consisting of a metallic quantum dot strongly coupled to a superconducting microwave transmission line cavity. Within the framework of…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 C. Bergenfeldt , P. Samuelsson
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