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An integral part of scattering theory calculations in continuum quantum systems involves identifying appropriate boundary conditions in addition to writing down the correct Hamiltonian. In the simplest problem of scattering in one…

介观与纳米尺度物理 · 物理学 2022-12-16 Abhiram Soori

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

介观与纳米尺度物理 · 物理学 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

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…

凝聚态物理 · 物理学 2009-10-22 K Nikolić , A MacKinnon

We propose a divide-and-conquer algorithm to find recursively the Scattering matrix of general tight-binding structures. The Scattering matrix allows a direct calculation of transport properties in mesoscopic systems by using the Landauer…

介观与纳米尺度物理 · 物理学 2023-12-08 Mauricio J. Rodríguez , Carlos Ramírez

We propose that the recently realized T-shaped semiconductor quantum wires (T-wires) could be exploited as three-terminal quantum interference devices. T-wires are formed by intersecting two quantum wells (QWs). By use of a scattering…

凝聚态物理 · 物理学 2009-10-30 G. Goldoni , F. Rossi , E. Molinari

We propose a new calculation of the DC conductance of a 1-dimensional electron system described by the Luttinger model. Our approach is based on the ideas of Landauer and B\"{u}ttiker and on the methods of current algebra. We analyse in…

凝聚态物理 · 物理学 2016-08-15 Anton Yu. Alekseev , Vadim V. Cheianov , Jürg Fröhlich

In their calculations based on the Landauer transport equation, Akguc and Gong [Phys. Rev. B 80, 195408 (2009)] obtained an expression for the heat conductance of a quantum wire valid in the ballistic regime and in the limit of vanishing…

介观与纳米尺度物理 · 物理学 2010-06-29 Marcos G. Menezes , Jordan Del Nero , Rodrigo B. Capaz , Luis G. C. Rego

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…

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

Recent electronic transport experiments using metallic contacts attached to proteins identified some 'stylized facts' which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature…

无序系统与神经网络 · 物理学 2019-09-04 Eszter Papp , Dávid P. Jelenfi , Máté T. Veszeli , Gábor Vattay

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between…

介观与纳米尺度物理 · 物理学 2007-05-23 Vidar Gudmundsson , Chi-Shung Tang

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…

强关联电子 · 物理学 2009-11-07 S. Chen , B. Trauzettel , R. Egger

The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system. We propose a general method to evaluate the transmission function in the complex domain for systems…

介观与纳米尺度物理 · 物理学 2020-08-06 Mauricio J. Rodríguez , Bryan D. Gomez , Carlos Ramírez

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…

介观与纳米尺度物理 · 物理学 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We present model calculations for the Landauer conductance of tunnel junctions. The tunneling of free electrons through a rectangular potential barrier is considered. The conductance of a finite number of barriers was calculated using a…

材料科学 · 物理学 2009-11-10 Peter Zahn , Ingrid Mertig

Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot…

强关联电子 · 物理学 2022-12-20 Emma L. Minarelli

The Landauer approach to diffusive transport is mathematically related to the solution of the Boltzmann transport equation, and expressions for the thermoelectric parameters in both formalisms are presented. Quantum mechanical and…

介观与纳米尺度物理 · 物理学 2015-05-14 Changwook Jeong , Raseong Kim , Mathieu Luisier , Supriyo Datta , Mark Lundstrom

For defining the conductance of single molecule junctions with a redox functionality in an electrochemical cell, two conceptually different electron transport mechanisms, namely coherent tunnelling and vibrationally induced hopping compete…

介观与纳米尺度物理 · 物理学 2015-06-22 Georg Kastlunger , Robert Stadler

We have implemented the linear response approximation of a method proposed to compute the electron transport through correlated molecules based on the time-independent Wigner function [P. Delaney and J. C. Greer, \prl {\bf 93}, 36805…

其他凝聚态物理 · 物理学 2008-10-07 Ioan Baldea , Horst Koeppel

An easy to implement and powerful method for the solution of 3D scattering problems that can be well described by Helmholtz equation is presented. The matrix algebra used provides excellent stability versus the number of junctions as well…

介观与纳米尺度物理 · 物理学 2007-05-23 J. A. Torres , J. J. Saenz