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The extent to which quantum computers can simulate physical phenomena and solve the partial differential equations (PDEs) that govern them remains a central open question. In this work, one of the most fundamental PDEs is addressed: the…

Quantum Physics · Physics 2025-08-26 Julien Zylberman , Thibault Fredon , Nuno F. Loureiro , Fabrice Debbasch

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

For several years the electronic structure properties of the novel two-dimensional system silicene have been studied extensively. Electron transport across metal-silicence junctions, however, remains relatively unexplored. To address this…

Materials Science · Physics 2015-04-15 Yun-Peng Wang , J. N. Fry , Hai-Ping Cheng

We propose a 2-d computational model-system comprising a mixture of spheres and the objects of some other shapes, interacting via the Lennard-Jones potential. We propose a reliable and efficient numerical algorithm to obtain void…

Computational Physics · Physics 2009-10-31 Gauri R. Pradhan , Sagar A. Pandit , Anil D. Gangal , V. Sitaramam

It has been recently shown that a nanostructure composed of a quantum dot surrounded by a quantum ring possesses a set of very unique characteristics that make it a good candidate for future nanoelectronic devices. Its main advantage is the…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Iwona Janus-Zygmunt , Barbara Kedzierska , Anna Gorczyca-Goraj , Elzbieta Zipper , Maciej M. Maska

The Vlasov-Poisson system is a classical model in physics used to describe the evolution of particles under their self-consistent electric or gravitational field. The existence of classical solutions is limited to dimensions $d\leq 3$ under…

Analysis of PDEs · Mathematics 2018-02-21 Luigi Ambrosio , Maria Colombo , Alessio Figalli

We present a general method for calculating coherent electronic transport in quantum wires and tunnel junctions. It is based upon a real space high order finite difference representation of the single particle Hamiltonian and wave…

Materials Science · Physics 2007-05-23 Petr A. Khomyakov , Geert Brocks

We present an efficient implemention of a non-equilibrium Green function (NEGF) method for self-consistent calculations of electron transport and forces in nanostructured materials. The electronic structure is described at the level of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jingzhe Chen , Kristian S. Thygesen , Karsten W. Jacobsen

We have calculated the admittance of a two-dimensional quantum point contact (QPC) using a novel variant of the Wigner distribution function (WDF) formalism. In the semiclassical approximation, a Boltzman-like equation is derived for the…

Condensed Matter · Physics 2016-08-31 Igor E. Aronov , Gennady P. Berman , David K. Campbell , Sergey V. Dudiy

Recent experiments of fluid transport in nano-channels have shown evidence of a coupling between charge-fluctuations in polar fluids and electronic excitations in graphene solids, which may lead to a significant reduction of friction a…

Mesoscale and Nanoscale Physics · Physics 2025-03-30 S. Succi , M. Lauricella , A. Tiribocchi

While the vast majority of calculations reported on molecular conductance have been based on the static non-equilibrium Green's function formalism combined with density functional theory, in recent years a few time-depedent approaches to…

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

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

Using molecular dynamics simulation, we investigate transport properties of a classical two-dimensional electron system confined in a microchannel with a narrow constriction. As a function of the confinement strength of the constriction,…

Mesoscale and Nanoscale Physics · Physics 2012-10-18 Moto Araki , Hisao Hayakawa

We present a three-dimensional simulation study of silicon nanowire double quantum dots (DQDs) with leads at T = 2 K, which extends beyond traditional effective mass or quasi-1D and quasi-2D approaches typically applied to bulk or planar…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Nilesh Pandey , Dipanjan Basu , Leonard F Register , Sanjay K Banerjee

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

A nanodevice consisting of a conductive cylinder in an axial magnetic field with one-dimensional wires attached to its lateral surface is considered. An explicit form for transmission and reflection coefficients of the system as a function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. A. Margulis , M. A. Pyataev

We describe computational tools that have been developed to simulate dynamical mass transfer in semi-detached, polytropic binaries that are initially executing synchronous rotation upon circular orbits. Initial equilibrium models are…

Astrophysics · Physics 2009-11-06 Patrick M Motl , Joel E Tohline , Juhan Frank

Here, we employ a numerical approach to investigate the transport and conductance characteristics of a quantum point contact. A quantum point contact is a narrow constriction of a width comparable to the electron wavelength defined in a…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 G. Bilgec Akyüz , A. Siddiki

The one-- and two-- particle densities of up to four interacting electrons with spin, confined within a quasi one--dimensional ``quantum dot'' are calculated by numerical diagonalization. The transition from a dense homogeneous charge…

Condensed Matter · Physics 2009-10-22 K. Jauregui , W. Haeusler , B. Kramer , PTB Braunschweig
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