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S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the quantum equivalence of dual models. We used an extended Quantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms, which was…

High Energy Physics - Theory · Physics 2017-03-08 Giuliano R. Toniolo , H. G. Fargnoli , L. C. T. Brito , A. P. Baêta Scarpelli

In this work, we introduce new methods for the quantization, decomposition, and extraction (from electromagnetic simulations) of lumped-element circuit models for superconducting quantum devices. Our flux-charge symmetric procedures center…

Quantum Physics · Physics 2024-12-11 Basil M. Smitham , Andrew A. Houck

A coupled quantum-classical model describing the transport of electrons confined in nanoscale semiconductor devices is considered. Using the subband decomposition approach allows to separate the transport directions from the confinement…

Analysis of PDEs · Mathematics 2012-07-02 Paola Pietra , Nicolas Vauchelet

We consider a one-body spin-less electron spectral problem for a resonance scattering system constructed of a quantum well weakly connected to a noncompact exterior reservoir, where the electron is free. The simplest kind of the resonance…

Mathematical Physics · Physics 2009-02-26 B. Pavlov

We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. A. Torres , J. J. Saenz

We present a first-principles numerical implementation of Landauer formalism for electrical transport in nanostructures characterized down to the atomic level. The novelty and interest of our method lies essentially on two facts. First of…

Materials Science · Physics 2009-11-07 J. J. Palacios , A. J. Perez-Jimenez , E. Louis , E. SanFabian , J. A. Verges

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…

Mathematical Physics · Physics 2011-09-01 Alexander F. Klinskikh , Anton V. Dolgikh , Peter A. Meleshenko , Sergey A. Sviridov

Landauer-B\"uttiker formula describes the electronic quantum transports in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Yan Yu , Yan-Yang Zhang , Lei Liu , Si-Si Wang , Ji-Huan Guan , Yang Xia , Shu-Shen Li

We consider network models of quantum localisation in which a particle with a two-component wave function propagates through the nodes and along the edges of an arbitrary directed graph, subject to a random SU(2) rotation on each edge it…

Mathematical Physics · Physics 2009-11-10 John Cardy

A model is developed for a detailed investigation of the current flowing through a cylindrical nanosize MOSFET with a close gate electrode. The quantum mechanical features of the lateral charge transport are described by Wigner distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. N. Balaban , E. P. Pokatilov , V. M. Fomin , V. N. Gladilin , J. T. Devreese , W. Magnus , W. Schoenmaker , M. Van Rossum , B. Soree

Electron transport through nanodevices of atoms in a single-layer rectangular arrangement with free (open) boundary conditions parallel to the direction of the current flow is studied within the single-band tight binding model. The Landauer…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 G. Inkoom , M. A. Novotny

We present a new semi-empirical model for calculating electron transport in atomic-scale devices. The model is an extension of the Extended H\"uckel method with a self-consistent Hartree potential. This potential models the effect of an…

Mesoscale and Nanoscale Physics · Physics 2012-04-04 Kurt Stokbro , Dan Erik Petersen , Søren Smidstrup , Anders Blom , Mads Ipsen , Kristen Kaasbjerg

Here we study incoherent transport through molecular wire treated as a linear chain of absorbers, where the phase-breaking processes are modeled by the use of imaginary point-like potentials. The calculations are performed within a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Kamil Walczak

We describe a method for numerically incorporating electron--electron scattering in quantum wells for small deviations of the distribution function from equilibrium, within the framework of the Boltzmann equation. For a given temperature…

Condensed Matter · Physics 2009-10-28 Ben Yu-Kuang Hu , Karsten Flensberg

We present a quaternion inspired formalism specifically developed to evaluate the intensity of the electrical current that traverses a single molecule connected to two semi-infinite electrodes as the applied external bias is varied. The…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 Augusto C. L. Moreira , Celso P. de Melo

An approach is developed for the determination of the current flowing through a nanosize silicon-on-insulator (SOI) metal-oxide-semiconductor field-effect transistors (MOSFET). The quantum mechanical features of the electron transport are…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. D. Croitoru , V. N. Gladilin , V. M. Fomin , J. T. Devreese , W. Magnus , W. Schoenmaker , B. Soree

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…

Theories describing electrical transport in semiconductor superlattices can essentially be divided in three disjoint categories: i) transport in a miniband; ii) hopping between Wannier-Stark ladders; and iii) sequential tunneling. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andreas Wacker , Antti-Pekka Jauho

We propose an efficient computational method for evaluating the self-energy matrices of electrodes to study ballistic electron transport properties in nanoscale systems. To reduce the high computational cost incurred in large systems, a…

Materials Science · Physics 2018-06-06 Shigeru Iwase , Yasunori Futamura , Akira Imakura , Tetsuya Sakurai , Shigeru Tsukamoto , Tomoya Ono