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A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tooru Taniguchi

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

Mathematical Physics · Physics 2021-09-03 Jean-Luc Akian , Éric Savin

When driven by a potential bias between two finite reservoirs, the particle current across a quantum system evolves from an initial loading through a coherent, followed by a metastable phase, and ultimately fades away upon equilibration. We…

We calculate the counting statistics of electron transfer through an open quantum dot with charging interaction. A dot that is connected to leads by two single-channel quantum point contacts in an in-plane magnetic field is described by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Kindermann , Bjoern Trauzettel

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

A model is developed for a detailed investigation of the current flowing through a cylindrical nanosize MOSFET with a close gate electrode. The quantum mechanical features of the lateral charge transport are described by Wigner distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. N. Balaban , E. P. Pokatilov , V. M. Fomin , V. N. Gladilin , J. T. Devreese , W. Magnus , W. Schoenmaker , M. Van Rossum , B. Soree

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

This article studies Markovian stochastic motion of a particle on a graph with finite number of nodes and periodically time-dependent transition rates that satisfy the detailed balance condition at any time. We show that under general…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Vladimir Y. Chernyak , John R. Klein , Nikolai A. Sinitsyn

We show that the macroscopic current and charge can be formulated as a Quantum Mechanical zero mode problem. We find that the current is given by the velocity operator of a particle restricted to move around a circle. As an explicit example…

Strongly Correlated Electrons · Physics 2009-10-31 D. Schmeltzer

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

We explore electron transport properties in a quantum wire attached to two metallic electrodes. A simple tight-binding model is used to describe the system and the coupling of the wire to the electrodes (source and drain) is treated through…

Mesoscale and Nanoscale Physics · Physics 2010-01-10 Santanu K. Maiti

We investigate electrical transport in a quantum wire of $N$ sites connected to an equal number $(N_i/2)$ of sources and drains of charges in bulk. Each source and drain injects and extracts charges at the same rate, respectively. We show…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Rupak Bag , Dibyendu Roy

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

Soft Condensed Matter · Physics 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

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

To apply the scattering approach for the problem of AC transport through coherent quantum conductors, various partial density of states must be evaluated. If the global partial density of states (GPDOS) is calculated externally using the…

Condensed Matter · Physics 2007-05-23 Jian Wang , Qingrong Zheng , Hong Guo

We calculate non-perturbatively the inelastic effects on the conductance through a conjugated molecular wire-metal heterojunction, including realistic electron-phonon coupling. We show that at sub-band-gap energies the current is dominated…

Materials Science · Physics 2009-10-31 H. Ness , A. J. Fisher

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

Transport of ions in molecular-scale confined spaces is central to all aspects of life and technology: into a crack, it may break steel within days; through a membrane separator, it determines the efficiency of electrochemical energy…

Soft Condensed Matter · Physics 2021-04-05 H. -W. Cheng , J. Dziadkowiec , V. Wieser , A. M. Imre , M. Valtiner

Entanglement, one of the clearest manifestations of non-classical physics, holds significant promise for technological applications such as more secure communications and faster computations. In this paper we explore the use of…

Quantum Physics · Physics 2024-02-14 Karl Pelka , Matteo Aquilina , André Xuereb

An efficient new method is presented to calculate the quantum transports using periodic boundary conditions. This new method is based on a method we developed previously, but with an essential change in solving the Schrodinger's equation.…

Materials Science · Physics 2007-05-23 Lin-Wang Wang
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