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We present a novel theory of charge-carrier mobilities in organic molecular crystals of high purity. Our approach is based on Holstein's original concept of small-polaron bands but generalized with respect to the inclusion of nonlocal…

Soft Condensed Matter · Physics 2007-05-23 K. Hannewald , P. A. Bobbert

Carrier mobility in bulk semiconductors is typically governed by electron-phonon (e-ph) scattering. In nanostructures, spatial confinement can lead to significant surface scattering, lowering mobility and breaking the spatial homogeneity…

Materials Science · Physics 2025-12-25 Zirui He , Shang-Peng Gao , Meng Chen

We prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann…

Statistical Mechanics · Physics 2015-05-13 D. Belitz , T. R. Kirkpatrick

We present a method for computing angle-resolved electron-energy-loss and gain spectroscopies for phonon and magnon excitations in transmission electron microscopy. Fractional scattering intensities are derived from the…

Materials Science · Physics 2025-01-30 José Ángel Castellanos-Reyes , Paul Zeiger , Ján Rusz

While methods based on density-functional perturbation theory have dramatically improved our understanding of electron-phonon contributions to transport in materials, methods for accurately capturing electron-electron scattering relevant to…

We demonstrate the key role of phonon occupation in limiting the high-field ballistic transport in metallic carbon nanotubes. In particular, we provide a simple analytic formula for the electron transport scattering length, that we validate…

Materials Science · Physics 2007-05-23 M. Lazzeri , S. Piscanec , F. Mauri , A. C. Ferrari , J. Robertson

In crystals, macroscopic technological properties such as thermal conductivity originate from the microscopic drift and scattering of phonons, commonly described by the Boltzmann Transport Equation (BTE). Despite its widespread use, the…

Materials Science · Physics 2026-03-18 Enrico Di Lucente , Nicola Marzari , Michele Simoncelli

Predictive modeling of the phonon/thermal transport properties of materials is vital to rational design for a diverse spectrum of engineering applications. Classical Molecular Dynamics (MD) simulations serve as a tool to simulate the time…

We calculate an electron-phonon scattering and intrinsic transport properties of black phosphorus monolayer using tight-binding and Boltzmann treatments as a function of temperature, carrier density, and electric field. The low-field…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Yuri Trushkov , Vasili Perebeinos

We probe the accuracy limit of {\it ab initio} calculations of carrier mobilities in semiconductors, within the framework of the Boltzmann transport equation. By focusing on the paradigmatic case of silicon, we show that fully predictive…

Materials Science · Physics 2018-03-28 Samuel Ponce , Elena R. Margine , Feliciano Giustino

Here we study the polaronic transport through molecules weakly connected to metallic electrodes in the nonlinear response regime. Molecule itself is treated as a quantum dot with discrete energy levels, its connection to the electrodes is…

Mesoscale and Nanoscale Physics · Physics 2007-07-22 Kamil Walczak

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

The role of multimode vibrational dynamics in electron transport through single molecule junctions is investigated. The study is based on a generic model, which describes charge transport through a single molecule that is attached to metal…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 R. Härtle , C. Benesch , M. Thoss

We present a rigorous solution of the Boltzmann equation for the electron-phonon scattering problem in three spatial dimensions in the limit of low temperatures. The different temperature scaling of the various scattering rates turns the…

Mathematical Physics · Physics 2021-03-17 J. Amarel , D. Belitz , T. R. Kirkpatrick

Using harmonic and anharmonic force constants extracted from density-functional calculations within a supercell, we have developed a relatively simple but general method to compute thermodynamic and thermal properties of any crystal. First,…

Materials Science · Physics 2015-05-28 Keivan Esfarjani , Gang Chen , Harold T. Stokes

An effective mass based model accounting for the conduction band quantization in a high aspect ratio semiconductor nanotip is developed to describe injected electron transport and subsequent electron emission from the nanotip. A transfer…

Mesoscale and Nanoscale Physics · Physics 2019-06-06 Andrei Piryatinski , Chengkun Huang , Thomas J. T. Kwan

Here we present theoretical studies of the effect of vibronic coupling on nonlinear transport characteristics (current-voltage and conductance-voltage) in molecular electronic devices. Considered device is composed of molecular quantum dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

A formalism for incorporating electron-phonon scattering into the nonequilibrium Green's function (NEGF) framework that is applicable to planar MOSFETs is presented. Restructuring the NEGF equations in terms of approximate summation of…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Himadri S. Pal , Dmitri E. Nikonov , Raseong Kim , Mark S. Lundstrom

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

Resonant electron transport through a mesoscopic region (quantum dot or single molecule) with electron-phonon interaction is considered at finite voltage. In this case the standard Landauer-B\"uttiker approach cannot be applied. Using the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. A. Ryndyk , J. Keller