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A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

We show that in quantum dots the physical quantities probed by local tunneling spectroscopies, namely the quasi-particle wavefunctions of interacting electrons, can considerably deviate from their single-particle counterparts as an effect…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Elisa Molinari

A linear theory of electron transport is developed for a system of two ideal quantum wires, of length L, coupled by tunneling and Coulomb interaction. The interaction of electrons with acoustical phonons is included and the results are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

We generalize the hierarchical equations of motion method to study electron transport through a quantum dot or molecule coupled to one-dimensional interacting leads that can be described as Luttinger liquids. Such leads can be realized, for…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Jun-ichi Okamoto , Ludwig Mathey , Rainer Härtle

The transmission of two electrons through a region where they interact is found to be enhanced by a renormalization of the repulsive interaction. For a specific example of the single-particle Hamiltonian, which includes a strongly…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. Entin-Wohlman , A. Aharony , Y. Imry , Y. Levinson

We discuss the calculation of the linear conductance through a Coulomb-blockade quantum dot in the presence of interactions beyond the charging energy. In the limit where the temperature is large compared with a typical tunneling width, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , T. Rupp , A. Kaminski , L. I. Glazman

We consider a Kondo spin that is coupled antiferromagnetically to a large chaotic quantum dot. Such a dot is described by the so-called universal Hamiltonian and its electrons are interacting via a ferromagnetic exchange interaction. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefan Rotter , Y. Alhassid

Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In…

Quantum Physics · Physics 2016-10-04 Alexey A. Melnikov , Leonid E. Fedichkin

We present an interpolative method for describing coherent transport through an interacting quantum dot. The idea of the method is to construct an approximate electron self-energy which becomes exact both in the limits of weak and strong…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. Levy Yeyati , A. Martin-Rodero , F. Flores

We report a numerical study of transport properties of a quantum dot with superconducting leads. We introduce a general phenomenological model of quantum dot transport, in which electron tunnel rates are computed within the Fermi's Golden…

Condensed Matter · Physics 2009-10-28 C. B. Whan , T. P. Orlando

We use a generalized master equation (GME) to describe the nonequilibrium magnetotransport of interacting electrons through a broad finite quantum wire with an embedded ring structure. The finite quantum wire is weakly coupled to two broad…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 Vidar Gudmundsson , Chi-Shung Tang , Olafur Jonasson , Valeriu Moldoveanu , Andrei Manolescu

Current auto- and cross-correlations are studied in a system of two capacitively coupled quantum dots. We are interested in a role of Coulomb interaction in dynamical correlations, which occur outside the Coulomb blockade region (for high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Grzegorz Michalek , Bogdan R. Bulka

The transport in complex multiple quantum well heterostructures is theoretically described. The model is focused on quantum cascade detectors, which represent an exciting challenge due to the complexity of the structure containing 7 or 8…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. Koeniguer , G. Dubois , A. Gomez , V. Berger

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

We theoretically show that intriguing features of coherent many-body physics can be observed in electron transport through a quantum dot (QD). We first derive a master equation based framework for electron transport in the Coulomb-blockade…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Martin J. A. Schuetz , Eric M. Kessler , J. Ignacio Cirac , Geza Giedke

Electron tunneling into a system with strong interactions is known to exhibit an anomaly, in which the tunneling conductance vanishes continuously at low energy due to many-body interactions. Recent measurements have probed this anomaly in…

Strongly Correlated Electrons · Physics 2018-05-17 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee

We describe a path-integral approach for including nuclear quantum effects in non-adiabatic chemical dynamics simulations. For a general physical system with multiple electronic energy levels, a corresponding isomorphic Hamiltonian is…

Statistical Mechanics · Physics 2018-06-05 Xuecheng Tao , Philip Shushkov , Thomas Miller

Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone. In particular, the non-Markovian…

Mesoscale and Nanoscale Physics · Physics 2015-02-12 Hai-Bin Xue , Hu-Jun Jiao , Jiu-Qing Liang , Wu-Ming Liu

We investigate electron transport through a mono-atomic wire which is tunnel coupled to two electrodes and also to the underlying substrate. The setup is modeled by a tight-binding Hamiltonian and can be realized with a scanning tunnel…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

Quantum dots are nanoscopic systems, where carriers are confined in all three spatial directions. Such nanoscopic systems are suitable for fundamental studies of quantum mechanics and are candidates for applications such as quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-16 Bahareh Goldozian , Fikeraddis A. Damtie , Gediminas Kiršanskas , Andreas Wacker