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Using a new developed Single-Electron approach, we derive the Landauer-type formula for electron transport in arbitrary time-dependent potentials. This formula is applied for randomly fluctuating potentials represented by a dichotomic…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Shmuel Gurvitz

Stroboscopic wavepacket basis sets [P. Bokes, F. Corsetti, R. W. Godby, Phys. Rev. Lett. 101, 046402 (2008)] are specifically tailored for a description of time-dependent processes in extended systems like non-periodic geometries of various…

Materials Science · Physics 2019-03-27 P. Bokes

We present a general formulation of the nonlinear, time-dependent current through a small interacting region, where electron energies are changed by time-dependent voltages. An exact solution is obtained for the non-interacting case when…

Condensed Matter · Physics 2009-10-22 Ned S. Wingreen , Antti-Pekka Jauho , Yigal Meir

The Landauer expression for computing current-voltage characteristics in nanoscale devices is efficient and widely applicable but not suited to transient phenomena and time dependent currents because it assumes that the charge carrier…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Partha Pratim Pal , S. Ramakrishna , Tamar Seideman

We present a transparent and analytically tractable approach to the problem of time-dependent electron transport through tunneling barriers. Using the Single-Electron Approach, we study a model system composed of a time-dependent tunneling…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Shmuel Gurvitz , Dmitri Sokolovski

We simulate the dynamics of a single-electron source, modeled as a quantum dot with on-site Coulomb interaction and tunnel coupling to an adjacent lead, in time-dependent density functional theory. Based on this system, we develop a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Niklas Dittmann , Janine Splettstoesser , Nicole Helbig

The traditional transmission coefficient present in the original Landauer formulation, which is valid for quasi-static scenarios with working frequencies below the inverse of the electron transit time, is substituted by a novel…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Matteo Villani , Simone Clochiatti , Werner Prost , Nils Weimann , Xavier Oriols

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

We use an adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures. This approach leads, in a…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand

A confined system of non-interacting electrons, subject to the combined effect of a time-dependent potential and different external chemical-potentials, is considered. The current flowing through such a system is obtained for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

We study the non-interacting time-dependent resonant level model mimicking a driven quantum dot connected through leads to two electronic reservoirs held at different temperatures and electrochemical potentials. Using a scattering approach,…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Adel Kara Slimane , Geneviève Fleury

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

The interaction with time-dependent external fields, especially the interplay between time-dependent driving and quantum correlations, changes the familiar picture of electron transport through nanoscale systems. Although the exact solution…

Mesoscale and Nanoscale Physics · Physics 2020-02-13 Thomas D. Honeychurch , Daniel S. Kosov

We derive self-consistent expressions of current and noise for single-electron transistors driven by time-dependent perturbations. We take into account effects of the electrical environment, higher-order co-tunneling, and time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jung Hyun Oh , D. Ahn , S. W. Hwang

Consider a bunch of interacting electrons confined in a quantum dot. The later is suddenly coupled to semi-infinite biased leads at an initial instant $t=0$. We identify the dominant contribution to the ergodic current in the off-resonant…

Mesoscale and Nanoscale Physics · Physics 2015-07-23 Horia D. Cornean , Valeriu Moldoveanu

We consider the time-dependent electron transport through a quantum dot connected to multiple leads in the presence of the additional over-dot (bridge) tunnelling channels by using the evolution operator technique. Each terminal and quantum…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 R. Taranko , T. Kwapinski , E. Taranko

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger equation. In the time-dependent picture, the evolution of an initially localized…

Quantum Physics · Physics 2011-05-13 Tobias Kramer

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

In this paper we show an approach to electron transport in double barrier structures which unifies the well known sequential and resonant tunneling models in the widest range of transport regimes, from completely coherent to completely…

Condensed Matter · Physics 2009-10-28 Giuseppe Iannaccone , Bruno Pellegrini
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