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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

Driven Langevin processes have appeared in a variety of fields due to the relevance of natural phenomena having both deterministic and stochastic effects. The stochastic currents and fluxes in these systems provide a convenient set of…

Chemical Physics · Physics 2017-01-04 Michael J. Catanzaro , Vladimir Y. Chernyak , John R. Klein

We consider a stochastic process which is (a) described by a continuous-time Markov chain on only short time-scales and (b) constrained to conserve a number of hidden quantities on long time-scales. We assume that the transition matrix of…

Statistical Mechanics · Physics 2020-10-27 Vitaly Vanchurin

We extend the ab initio molecular dynamics (AIMD) method based on density functional theory to the nonequilibrium situation where an electronic current is present in the electronic system. The dynamics is treated using the semi-classical…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Jing-Tao Lu , Susanne Leitherer , Nick R. Papior , Mads Brandbyge

Charge fluctuations in nano-circuits with capacitor components are shown to give rise to a novel type of long-ranged interaction, which co-exist with the regular Casimir/van der Waals force. The developed theory distinguishes between…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 D. Drosdoff , Igor V. Bondarev , Allan Widom , Rudolph Podgornik , Lilia M. Woods

In the Entropic Dynamics (ED) derivation of the Schroedinger equation the physical input is introduced through constraints that are implemented using Lagrange multipliers. There is one constraint involving a "drift" potential that…

Quantum Physics · Physics 2017-06-27 Daniel Bartolomeo , Ariel Caticha

So far transport properties of nanoscale contacts have been mostly studied within the static scattering approach. The electron dynamics and the transient behavior of current flow, however, remain poorly understood. We present a numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Na Sai , Neil Bushong , Ryan Hatcher , Massimiliano Di Ventra

Transport measurements are one of the most widely used methods of characterizing small systems in chemistry and physics. When interactions are negligible, the current through quantum dots, nanowires, molecular junctions, and other submicron…

Mesoscale and Nanoscale Physics · Physics 2022-04-01 Dan Klein , Karen Michaeli

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the…

Condensed Matter · Physics 2007-05-23 Tooru Taniguchi

We propose an extension of the Landauer-Buttiker scattering theory to include effects of interaction in the active region of a mesoscopic conductor structure. The current expression obtained coincides with those derived by different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Nam Do , P. Dollfus , V. L. Nguyen

Molecule-electrode interfaces in molecular electronic junctions are prone to chemical reactions, structural changes, and localized heating effects caused by electric current. These can be exploited for device functionality or may be…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Riley J. Preston , Vincent F. Kershaw , Daniel S. Kosov

A general density-matrix formulation of quantum-transport phenomena in semiconductor nanostructures is presented. More specifically, contrary to the conventional single-particle correlation expansion, we shall investigate separately the…

Materials Science · Physics 2009-11-11 Rita Claudia Iotti , Emanuele Ciancio , Fausto Rossi

We propose a new mechanism of friction in resonantly driven vibrational systems. The form of the friction force follows from the time- and spatial-symmetry arguments. We consider a microscopic mechanism of this resonant force in…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Mark Dykman , Gianluca Rastelli , M. L. Roukes , Eva M. Weig

Thermoelectric transport in nanoscale conductors is analyzed in terms of the response of the system to a thermo-mechanical field, first introduced by Luttinger, which couples to the electronic energy density. While in this approach the…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 F. G. Eich , A. Principi , M. Di Ventra , G. Vignale

We present a microscopic theory of nonlinear damping and dephasing of low-frequency eigenmodes in nano- and micro-mechanical systems. The mechanism of the both effects is scattering of thermally excited vibrational modes off the considered…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 J. Atalaya , T. W. Kenny , M. L. Roukes , M. I. Dykman

We derive a bound on generalized currents for Langevin systems in terms of the total entropy production in the system and its environment. For overdamped dynamics, any generalized current is bounded by the total rate of entropy production.…

Statistical Mechanics · Physics 2018-06-06 Andreas Dechant , Shin-ichi Sasa

We study directed transport in periodically forced scattering systems in the regime of fast and strong driving where the dynamics is mixed to chaotic and adiabatic approximations do not apply. The model employed is a square potential well…

Mesoscale and Nanoscale Physics · Physics 2012-10-04 A. Castañeda , T. Dittrich , G. Sinuco

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We consider the electron transport properties through fully interacting nanoscale junctions beyond the linear-response regime. We calculate the current flowing through an interacting region connected to two interacting leads, with…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 H. Ness , L. K. Dash

The current carried by a material subject to an electric field is microscopically inhomogeneous and can be modelled using scattering theory, in which electrons undergo collisions with the microscopic objects they encounter. We herein…

Materials Science · Physics 2018-10-16 Eleni Chatzikyriakou , Padeleimon Karafiloglou , Joseph Kioseoglou