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In this paper we present and discuss our results for the conductance and conductance fluctuations of narrow quantum wires with two types of disorder: boundary roughness (hard wall confining potential) and islands of strongly scattering…

Condensed Matter · Physics 2009-10-22 K Nikolić , A MacKinnon

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

We present a self-consistent method for the evaluation of the electronic current flowing through a multi-terminal molecular wire. The method is based on Buttiker- Landauer theory which relates the current to one-electron scattering…

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

We study the conductance threshold of clean nearly straight quantum wires in the magnetic field. As a quantitative example we solve exactly the scattering problem for two-electrons in a wire with planar geometry and a weak bulge. From the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Rejec , A. Ramsak , J. H. Jefferson

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We propose a Landauer-like theory for nonlinear transport in networks of one-dimensional interacting quantum wires (Luttinger liquids). A concrete example of current experimental focus is given by carbon nanotube Y junctions. Our theory has…

Strongly Correlated Electrons · Physics 2009-11-07 S. Chen , B. Trauzettel , R. Egger

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective…

Strongly Correlated Electrons · Physics 2017-08-09 Anas Abdelwahab , Eric Jeckelmann , Martin Hohenadler

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Kohei Kawabata , Masahito Ueda

Landauer's formula relates the conductance of a quantum wire or interface to transmission probabilities. Total transmission probabilities are frequently calculated using Green function techniques and an expression first derived by Caroli.…

Materials Science · Physics 2007-05-23 P. A. Khomyakov , G. Brocks , V. Karpan , M. Zwierzycki , P. J. Kelly

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

In this work we develop a time-dependent extension of the Landauer-B\"uttiker approach to study transient dynamics in time-dependent quantum transport through molecular junctions. A key feature of the approach is that it provides a closed…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Riku Tuovinen , Enrico Perfetto , Gianluca Stefanucci , Robert van Leeuwen

We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We generalize the quantum waveguide approach to H\"uckel or tight-binding models relevant to unsaturated $\p$ molecular devices. A Landauer-like formula for the current density through {\em internal} bonds is also derived which allows for…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Gianluca Stefanucci , Enrico Perfetto , Stefano Bellucci , Michele Cini

In a recent paper Liang {\it et al.} [Nature {\bf 411}, 665 (2001)] showed experimentally, that metallic nanotubes, strongly coupled to external electrodes, may act as coherent molecular waveguides for electronic transport. The experimental…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Krompiewski , J. Martinek , J. Barnas

We experimentally investigate the back-scattering properties of an array of atoms that is evanescently coupled to an optical nanofiber in the strongly non-paraxial regime. We observe that the power and the polarization of the back-scattered…

Atomic Physics · Physics 2014-04-01 D. Reitz , C. Sayrin , B. Albrecht , I. Mazets , R. Mitsch , P. Schneeweiss , A. Rauschenbeutel

We discuss the steady-state electronic transport in solid-state and molecular devices in the quantum regime. The decimation technique allows a comprehensive description of the electronic structure. Such a method is used, in conjunction with…

Mesoscale and Nanoscale Physics · Physics 2008-03-26 Horacio M. Pastawski , Ernesto Medina

We investigate the transport through a quantum ring, a dot and a barrier embedded in a nanowire in a homogeneous perpendicular magnetic field. To be able to treat scattering potentials of finite extent in magnetic field we use a mixed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vidar Gudmundsson , Yu-Yu Lin , Chi-Shung Tang , Valeriu Moldoveanu , Jens Hjorleifur Bardarson , Andrei Manolescu

The linear response conductance coefficients are calculated in the scattering approach at finite frequency, damping and magnetic field for a microstructure in which the reservoirs are modeled as quantum wire leads of infinite length but…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jens U. Noeckel , Klaus Richter

The recursion and path-integral methods are applied to analytically study the electronic structure of a neutral $C_{60}$ molecule. We employ a tight-binding Hamiltonian which considers both the $s$ and $p$ valence electrons of carbon. From…

Materials Science · Physics 2009-10-22 Yeong-Lieh Lin , Franco Nori