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It is now common practice to solve the Schr\"odinger equation to estimate the tunneling current between two electrodes at specified potentials, or the transmission through a potential barrier by assuming that there is an incident,…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 Mark J. Hagmann , Logan D. Gibb

It is now common practice to solve the Schr\"odinger equation to estimate the tunneling current between two metal electrodes at specified potentials, or the transmission through a potential barrier by assuming an incident, reflected, and…

Quantum Physics · Physics 2020-06-11 Mark J. Hagmann , Logan D. Gibb

In solving the Schr\"odinger equation to simulate a nanoscale circuit, we note that the mean free path for electrons in some metals is as large as 48 nm. Thus, the wavefunction may propagate coherently through wires corresponding to the…

Applied Physics · Physics 2020-06-01 Mark J. Hagmann , Logan D. Gibb

Earlier, in the CINT program at Los Alamos National Laboratory, we focused ultrafast mode-locked lasers on the tip-sample junction of a scanning tunneling microscope to generate currents at hundreds of harmonics of the laser pulse…

Quantum Physics · Physics 2023-10-27 Mark Hagmann

A remarkably quantitative understanding of the electrical and mechanical properties of metal wires with a thickness on the scale of a nanometer has been obtained within the free-electron model using semiclassical techniques. Convergent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. A. Stafford , F. Kassubek , H. Grabert

The transmittance of intersection between narrow quantum strips is studied. It is assumed that strip widths are less than the electron wavelength, so that they are tunnel conductors. In this assumption the Schr\"odinger equation is reduced…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 L. Braginsky , M. V. Entin

The conducting and mechanical properties of a metallic nanowire formed at the junction between two macroscopic metallic electrodes are investigated. Both two- and three-dimensional wires with a W(ide)-N(arrow)-W(ide) geometry are modelled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Kassubek , C. A. Stafford , Hermann Grabert

Strong coupling between electronic and mechanical degrees of freedom is a basic requirement for the operation of any nanoelectromechanical device. In this Review we consider such devices and in particular investigate the properties of small…

Mesoscale and Nanoscale Physics · Physics 2010-04-07 Robert I. Shekhter , Fabio Santandrea , Gustav Sonne , Leonid Y. Gorelik , Mats Jonson

The transmission of correlated electrons through a domain wall in ferromagnetic quasi-one-dimensional systems is studied theoretically in the case when the domain wall width is comparable with the Fermi wavelength of the charge carriers.…

Strongly Correlated Electrons · Physics 2007-05-23 M. A. N. Araujo , V. K. Dugaev , V. R. Vieira , J. Berakdar , J. Barnas

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…

The cohesion and conductance of a point contact in a two-dimensional metallic nanowire are investigated in an independent-electron model with hard-wall boundary conditions. All properties of the nanowire are related to the Green's function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Burki , C. A. Stafford , X. Zotos , D. Baeriswyl

Using computer simulations, we have studied the percolation and the electrical conductance of two-dimensional, random percolating networks of curved, zero-width metallic nanowires. We mimicked the curved nanowires using circular arcs. The…

Statistical Mechanics · Physics 2023-05-01 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

We study electron transport through a domain wall in a ferromagnetic nanowire subject to spin-dependent scattering. A scattering matrix formalism is developed to address both coherent and incoherent transport properties. The coherent case…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Peter E. Falloon , Rodolfo A. Jalabert , Dietmar Weinmann , Robert L. Stamps

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

Mesoscopic systems and large molecules are often modeled by graphs of one-dimensional wires, connected at vertices. In this paper we discuss the solutions of the Schr\"odinger equation on such graphs, which have been named "quantum…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Amnon Aharony , Ora Entin-Wohlman

The depth distribution of the transport properties as well as the temperature dependence of the low field magneto-conductance for several c-axis oriented GaN nanowall network samples grown with different average wall-widths are…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 H. P. Bhasker , Varun Thakur , S. M. Shivaprasad , S. Dhar

A brief review of the nanoscale free-electron model of metal nanowires is presented. This continuum description of metal nanostructures allows for a unified treatment of cohesive and conducting properties. Conductance channels act as…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 D. F. Urban , J. Bürki , C. A. Stafford , Hermann Grabert

We used analytical methods to study the interaction of electrons with shunted models consisting of a rectangular, triangular, or delta function. potential barrier in series with a pre-barrier region at zero potential. In each model the…

Quantum Physics · Physics 2024-04-23 Mark J Hagmann

We have studied the electrical conductance of two-dimensional (2D) random percolating networks of zero-width metallic nanowires (a mixture of rings and sticks). We toke into account the nanowire resistance per unit length and the junction…

Disordered Systems and Neural Networks · Physics 2023-03-08 Yuri Yu. Tarasevich , Andrei V. Eserkepov

Non-coherent electronic transport in metallic nanowires exhibits different carrier temperatures for the non-equilibrium forward and backward populations in the presence of electric fields. Depending on the mean free path that characterizes…

Mesoscale and Nanoscale Physics · Physics 2009-03-17 Marcelo Kuroda , Jean-Pierre Leburton
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