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The one-dimensional effective Hamiltonian for a planar curvilinear quantum wire with arbitrary shape is proposed in the presence of the Rashba spin-orbit interaction. Single electron propagation through a device of two straight lines…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Erhu Zhang , Shengli Zhang , Qi Wang

We analyze the transport properties of a Luttinger liquid with an imbedded impurity of explicitly time-dependent strength. We employ a radiative boundary condition formalism to describe the coupling to the voltage sources. Assuming the…

Strongly Correlated Electrons · Physics 2007-09-22 T. L. Schmidt , A. Komnik

This work presents the electronic and transport properties of bilayer borophene nanoribbons. In the first part, a four-orbital tight-binding model is derived by fitting the \emph{ab initio} band structure. The transport properties of…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 C. J. Páez-González , C. E. Ardila-Gutiérrez , D. A. Bahamon

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

We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron transport in an ultra-scaled confined structure, taking in…

Analysis of PDEs · Mathematics 2011-05-19 Jourdana Clément , Nicolas Vauchelet

In this paper we develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundary measurements, and the exact boundary controllability of…

Analysis of PDEs · Mathematics 2013-08-06 Sebastian Acosta

The current carried by a material subject to an electric field is microscopically inhomogeneous and can be modelled using scattering theory, in which electrons undergo collisions with the microscopic objects they encounter. We herein…

Materials Science · Physics 2018-10-16 Eleni Chatzikyriakou , Padeleimon Karafiloglou , Joseph Kioseoglou

We study some mesoscopic properties of electron transport by employing one-dimensional chains and Anderson tight-binding model. Principal attention is paid to the resistance of finite-length chains with disordered white-noise potential. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. Dossetti-Romero , F. M. Izrailev , A. A. Krokhin

The effects of lattice distortion and chemical disorder on charge transport properties of two-terminal zigzag phosphorene nanoribbons (zPNRs), which shows resonant tunneling behavior under an electrical applied bias, are studied. Our…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Zahra Nourbakhsh , Reza Asgari

We present theoretical results for the backaction force noise and damping of a mechanical oscillator whose position is measured by a mesoscopic conductor. Our scattering approach is applicable to a wide class of systems; in particular, it…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Steven D. Bennett , Jesse Maassen , Aashish A. Clerk

The transfer-matrix methodology is used to solve linear systems of differential equations, such as those that arise when solving Schr\"odinger's equation, in situations where the solutions of interest are in the continuous part of the…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Alexandre Mayer

We develop a detailed analysis of electron transport in normal diffusive con- ductors in the presence of proximity induced superconductivity. A rich structure of temperature and energy dependencies for the system condcutcance, density of…

Condensed Matter · Physics 2007-05-23 A. D. Zaikin , F. K. Wilhelm , A. A. Golubov

We study the effect of electron-electron backscattering interactions on spin transport in a quantum wire. Even if these interactions have no significant effect on charge transport, they strongly influence the transport of spin. We use the…

Strongly Correlated Electrons · Physics 2009-11-07 Cristina Bena , Leon Balents

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded random Hamiltonian matrices. We compare the Landauer and the Thouless conductances, and find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Giulio Casati , Italo Guarneri , Giulio Maspero

We validate that off-resonant electron transport across {\it ultra-short} oligomer molecular junctions is characterised by a conductance which decays exponentially with length, and we discuss a method to determine the damping factor via the…

Materials Science · Physics 2007-05-23 Giorgos Fagas , Agapi Kambili , Marcus Elstner

We simulate electron transport through graphene nanoribbons of experimentally realizable size (length L up to 2 micrometer, width W approximately 40 nm) in the presence of scattering at rough edges. Our numerical approach is based on a…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 F. Libisch , S. Rotter , J. Burgdörfer

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Changwook Jeong , Raseong Kim , Mathieu Luisier , Supriyo Datta , Mark Lundstrom

We present a first-principles study of a coherent relationship between the optimized geometry and conductance of a three-aluminum-atom wire during its elongation process. Our simulation employs the most definite model including…

Condensed Matter · Physics 2009-11-10 Tomoya Ono , Kikuji Hirose

We propose a method to determine the relative strength of Rashba and Dresselhaus spin-orbit interaction from transport measurements without the need of fitting parameters. To this end, we make use of the conductance anisotropy in narrow…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 Matthias Scheid , Makoto Kohda , Yoji Kunihashi , Klaus Richter , Junsaku Nitta