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Consider a three dimensional system which looks like a cross-connected pipe system, i.e. a small sample coupled to a finite number of leads. We investigate the current running through this system, in the linear response regime, when we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Horia D. Cornean , Pierre Duclos , Gheorghe Nenciu , Radu Purice

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

In the independent electron approximation, the average (energy/charge/entropy) current flowing through a finite sample S connected to two electronic reservoirs can be computed by scattering theoretic arguments which lead to the famous…

Spectral Theory · Mathematics 2015-06-11 Laurent Bruneau , Vojkan Jaksic , Yoram Last , Claude-Alain Pillet

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

The Landauer-B\"uttiker formalism provides a simple and insightful way for investigating many phenomena in mesoscopic physics. By this approach we derive general formulas for the energy properties and apply them to the basic setups. Of…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Danilo Sergi

Schr\"odinger equation with given, {\it a priori} known current is formulated. A non-zero current density is maintained in the quantum system via a subsidiary condition imposed by vector, local Lagrange multiplier. Constrained minimization…

Condensed Matter · Physics 2009-11-07 D. S. Kosov

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Akinori Nishino , Naomichi Hatano , Gonzalo Ordonez

The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yoseph Imry , Ora Entin-Wohlman , Amnon Aharony

In this paper, we study the emergence of a Landauer transport regime from the quantum-mechanical dynamics of free electrons in a disordered tight-binding chain, which is coupled to finite leads with open boundaries. Both partitioned and…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 J. P. Santos Pires , B. Amorim , J. M. Viana Parente Lopes

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

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

The steady-state electronic transport across periodically driven systems can be efficiently addressed using Landauer-B\"{u}ttiker formalism. The time-dependent nonequilibrium Green's function theory then may be adapted for developing direct…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Oleksandr Balabanov

A quantum-mechanical calculation of conductance in an open quantum dot is performed in the Landauer-B\"{u}ttiker formalism using a tight binding Hamiltonian with direct Coulomb interaction. The charge distribution in the dot is calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Aldea , A. Manolescu , V. Moldoveanu

In this communication we apply the Landauer method and transfer matrix formalism to the calculation of spin current in magnetic multilayered structures within a ballistic quantum-mechanical regime. The method provides an elegant and…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Valentin Fadeev , Andrey Umerski

We extend the Landauer-B\"uttiker formalism in order to accommodate both unitary and self-adjoint operators which are not bounded from below. We also prove that the pure point and singular continuous subspaces of the decoupled Hamiltonian…

Mathematical Physics · Physics 2012-12-21 Horia D. Cornean , Hagen Neidhardt , Lukas Wilhelm , Valentin A. Zagrebnov

Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Daniel Gruss , Kirill A. Velizhanin , Michael Zwolak

Keldysh formalism is used to get the current-voltage characteristic of a small system of interacting electrons described by a Hubbard model coupled to metallic wires. The numerical procedure is checked recovering well-known results for an…

Strongly Correlated Electrons · Physics 2009-11-10 G. Chiappe , J. A. Verges

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

We develop a Landauer-B\"uttiker theory of entropy evolution in time-dependent strongly coupled electron systems. This formalism naturally avoids the problem of system-bath distinction caused by the strong hybridization of central system…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Anton Bruch , Caio Lewenkopf , Felix von Oppen
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