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A systematic truncation of the many-body Hilbert space is implemented to study how electrons in a quantum dot attached to conducting leads respond to time-dependent biases. The method, which we call the dynamical 1/N approach, is first…

Strongly Correlated Electrons · Physics 2009-11-10 J. Merino , J. B. Marston

We present a time-dependent study of electron transport through a strongly correlated quantum dot. The time-dependent current is obtained with the multiple-probe battery method, while adiabatic lattice density functional theory in the Bethe…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 A. Pertsova , M. Stamenova , S. Sanvito

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

Tunnel transport of interacting spin-polarized electrons through a single-level vibrating quantum dot in external magnetic field is studied. By using density matrix method, the current-voltage characteristics and the dependence of…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 A. D. Shkop , O. M. Bahrova , S. I. Kulinich , I. V. Krive

We evaluate the full statistics of the current via a Coulomb island that is strongly coupled to the leads. This strong coupling weakens Coulomb interaction. We show that in this case the effects of the interaction can be incorporated into…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. A. Bagrets , Yu. V. Nazarov

We show that the time development of the Coulomb gap in a Coulomb glass can involve very long relaxation times due to electron rearrangement and hopping. We find that an applied magnetic field reduces the rate of electron hopping and,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Clare C. Yu

Dynamic conductance and time-of-flight current instability in a quantum wire connected to electron reservoirs under DC bias voltage are studied in the absence of a gate screening the Coulomb interaction of electrons. Due to a strong…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

Inelastic effects in the Coulomb blockade and Kondo regimes of electron transport through molecular junctions are considered within a simple nonequilibrium equation-of-motion (EOM) approach. The scheme is self-consistent, and can…

Mesoscale and Nanoscale Physics · Physics 2007-07-02 Michael Galperin , Abraham Nitzan , Mark A. Ratner

We consider the ground-state energy and the spectrum of the low-energy excitations of a Majorana island formed of topological superconductors connected by a single-mode junction of arbitrary transmission. Coulomb blockade results in…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Dmitry I. Pikulin , Karsten Flensberg , Leonid I. Glazman , Manuel Houzet , Roman M. Lutchyn

We study the statistics of local energy minima in the configuration space and the energy relaxation due to activated hopping in a system of interacting electrons in a random environment. The distribution of the local minima is exponential,…

Strongly Correlated Electrons · Physics 2008-06-24 A. Glatz , V. M. Vinokur , Y. M. Galperin

We investigate the effect of electronic correlations on the transmission phase of quantum coherent scatterers, considering quantum dots in the Coulomb blockade regime connected to two single-channel leads. We focus on transmission zeros and…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Rafael A. Molina , Peter Schmitteckert , Dietmar Weinmann , Rodolfo A. Jalabert , Philippe Jacquod

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

Strongly Correlated Electrons · Physics 2015-06-12 N. Nessi , A. Iucci

We discuss the possibility to generate in Coulomb-blockade systems steady states that violate detailed balance. This includes both voltage biased and non-biased scenarios. The violation of detailed balance yields that the charge-transfer…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Philipp Stegmann , Jürgen König

We consider the model of quantum dots interacting with coherent radiation when the relaxation processes may be neglected. The system under investigation consists of two discrete energy levels of the quantum dots in the presence of strong…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey Maimistov , Elena Kazantseva , Sergei Elyutin

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs

We study the triplet-singlet relaxation in two-electron semiconductor quantum dots. Both single dots and vertically coupled double dots are discussed. In our work, the electron-electron Coulomb interaction, which plays an important role in…

Materials Science · Physics 2007-12-18 K. Shen , M. W. Wu

We study mesoscopic fluctuations of the conductance through a quantum dot at the wings of the Coulomb blokade peaks. At low temperatures, the main mechanism of conduction is the elastic cotunneling. The conductance strongly fluctuates with…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

We find an analytical expression for the conductance of a single electron transistor in the regime when temperature, level spacing, and charging energy of a grain are all of the same order. We consider the model of equidistant energy levels…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Serguei Vorojtsov

The energy relaxation in the spin-polarized disordered electron systems is studied in the diffusive regime. We derived the quantum kinetic equation in which the kernel of electron-electron collision integral explicitly depends on the…

Mesoscale and Nanoscale Physics · Physics 2009-04-05 N. M. Chtchelkatchev , I. S. Burmistrov

We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

Superconductivity · Physics 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky