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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

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The…

凝聚态物理 · 物理学 2016-08-31 Nathan Argaman

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…

介观与纳米尺度物理 · 物理学 2009-11-07 S. Krompiewski , J. Martinek , J. Barnas

We study contact effects on electron transport across a molecular wire sandwiched between two semi-infinite (carbon) nanotube leads as a model for nanoelectrodes. Employing the Landauer scattering matrix approach we find that the…

介观与纳米尺度物理 · 物理学 2009-10-31 G. Fagas , G. Cuniberti , K. Richter

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

介观与纳米尺度物理 · 物理学 2009-10-31 Eldon G. Emberly , George Kirczenow

Numerical transfer matrices have been widely used in the study of wave propagation and scattering. These may be viewed as descretizations of a recently introduced fundamental notion of transfer matrix which admits a representation in terms…

经典物理 · 物理学 2023-10-03 Farhang Loran , Ali Mostafazadeh

There is great interest in the development of novel nanomachines that use charge, spin, or energy transport, to enable new sensors with unprecedented measurement capabilities. Electrical and thermal transport in these mesoscopic systems…

介观与纳米尺度物理 · 物理学 2009-11-10 Shi-Xian Qu , Michael R. Geller

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

量子物理 · 物理学 2020-09-24 Farhang Loran , Ali Mostafazadeh

We developed a fast numerical algorithm for solving the three dimensional vectorial Helmholtz equation that arises in electromagnetic scattering problems. The algorithm is based on electric field integral equations and is essentially a…

计算物理 · 物理学 2019-07-24 S. B. Wang , H. H. Zheng , J. J. Xiao , Z. F. Lin , C. T. Chan

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

物理教育 · 物理学 2022-07-06 M. Staelens , F. Marsiglio

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

无序系统与神经网络 · 物理学 2009-11-13 P. G. Murphy , J. E. Moore

Within the scattering matrix approach to electronic transport, the scattering and transport properties of tight-binding random graphs are analyzed. In particular, we compute the scattering matrix elements, the transmission, the…

无序系统与神经网络 · 物理学 2023-10-09 A. M. Martínez-Argüello , K. B. Hidalgo-Castro , J. A. Méndez-Bermúdez

In this paper, we propose a method to calculate the exact Taylor series of the scattering matrix in general multiterminal tight-binding systems to arbitrary order N, which allows us to find the Taylor expansion of Landauer conductance in…

介观与纳米尺度物理 · 物理学 2020-06-15 Carlos Ramirez , Mauricio J. Rodriguez , Bryan D. Gomez

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

数值分析 · 数学 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

Disordered nanostructures are commonly encountered in many nanophotonic systems, from colloid dispersions for sensing, to heterostructured photocatalysts. Randomness, however, imposes severe challenges for nanophotonics modeling, often…

An effective mass based model accounting for the conduction band quantization in a high aspect ratio semiconductor nanotip is developed to describe injected electron transport and subsequent electron emission from the nanotip. A transfer…

介观与纳米尺度物理 · 物理学 2019-06-06 Andrei Piryatinski , Chengkun Huang , Thomas J. T. Kwan

The problem of electron scattering on the one-dimensional complexes is considered. We propose a novel theoretical approach to solution of the transport problem for a quantum graph. In the frame of the developed approach the solution of the…

We discuss the conductance of a molecular bridge between mesoscopic electrodes supporting low-dimensional transport and bearing an internal structure. As an example for such nanoelectrodes we assume semi-infinite (carbon) nanotubes. In the…

介观与纳米尺度物理 · 物理学 2007-05-23 G. Fagas , G. Cuniberti , K. Richter

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular,…

量子物理 · 物理学 2025-12-10 Lorenzo Bagnasacco , Fabio Taddei , Vittorio Giovannetti

Electromagnetic scattering and absorption by material particles is a fundamental physical problem with a broad range of applications, going from laboratory experiments, biology and material sciences, all the way up to environmental studies…

天体物理仪器与方法 · 物理学 2026-02-06 G. La Mura , G. Mulas , G. Aresu , M. A. Iatì , C. Cecchi-Pestellini , S. Rezaei , R. Saija
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