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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…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

We present a comprehensive first-principles study of the ballistic transport properties of low dimensional nanostructures such as linear chains of atoms (Al, C) and carbon nanotubes in presence of defects. A novel approach is introduced…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arrigo Calzolari , Nicola Marzari , Ivo Souza , Marco Buongiorno Nardelli

We calculate the electronic transport properties of a system which is irradiated by a homogeneous microwave field. Within a Boltzmann equation approach, a general expression for the conductivity tensor is derived and evaluated for a quasi…

Condensed Matter · Physics 2009-10-28 Tobias Brandes

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

We show that the Landauer multi-terminal formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Giovanni Vignale , Massimiliano Di Ventra

The electron states in axially symmetric quantum wires are computed by means of the effective-mass Schroedinger equation, which is written in cylindrical coordinates phi, rho, and z. We show that a direct discretization of the Schroedinger…

Mesoscale and Nanoscale Physics · Physics 2015-12-21 V. V. Arsoski , M. Z. Tadic , N. A. Cukaric , F. M. Peeters

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

Using a scanning tunneling microscope we have measured the quantum conductance through a PTCDA molecule for different configurations of the tip-molecule-surface junction. A peculiar conductance resonance arises at the Fermi level for…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Florian Pump , Ruslan Temirov , Olga Neucheva , Serguei Soubatch , Stefan Tautz , Michael Rohlfing , Gianaurelio Cuniberti

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

Electron transport in branched semiconductor nanostructures provides many possibilities for creating fundamentally new devices. We solve the problem of its calculation using a quantum network model. The proposed scheme consists of three…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 D. E. Tsurikov

Simulation of Electron Transport through two dimensional(2D) waveguide using Quantum Transport Boundary Method (QTBM) is done. Specifically, as an example the results of modeling L-shaped contact for a rectangular waveguide are presented.…

Mesoscale and Nanoscale Physics · Physics 2019-09-16 Raja N. Mir , William R. Frensley

We study the conductance threshold of clean nearly straight quantum wires in which an electron is bound. We show that such a system exhibits spin-dependent conductance structures on the rising edge to the first conductance plateau, one near…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Rejec , A. Ramsak , J. H. Jefferson

The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 Reinhold Egger , Hermann Grabert

The Landauer expression for computing current-voltage characteristics in nanoscale devices is efficient and widely applicable but not suited to transient phenomena and time dependent currents because it assumes that the charge carrier…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Partha Pratim Pal , S. Ramakrishna , Tamar Seideman

We review what we consider to be the minimal model of quantized conductance in a finite interacting quantum wire. Our approach utilizes the simplicity of the equation of motion description to both deal with general spatially dependent…

Strongly Correlated Electrons · Physics 2015-05-19 Ronny Thomale , Alexander Seidel

The conductance in an extended multiband Hubbard model describing linear arrays of up to ten quantum dots is calculated via a Lanczos technique. A pronounced suppression of certain resonant conductance peaks in an applied magnetic field due…

Condensed Matter · Physics 2008-02-03 C. A. Stafford , S. Das Sarma

Electronic transport in nanodevices is commonly studied theoretically and numerically within the Landauer-B\"uttiker formalism: a device is characterized by its scattering properties to and from reservoirs connected by perfect semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 George Datseris , Ragnar Fleischmann

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

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

The Landauer-B\"uttiker formalism establishes an equivalence between the electrical conduction through a device, e.g., a quantum dot, and the transmission. Guided by this analogy we perform transmission measurements through three-port…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 A. M. Martínez-Argüello , A. Rehemanjiang , M. Martínez-Mares , J. A. Méndez-Bermúdez , H. -J. Stöckmann , U. Kuhl