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A comprehensive survey is given of the thermoballistic approach to charge carrier transport in semiconductors. This semiclassical approach bridges the gap between the drift-diffusion and ballistic ("thermionic") models of carrier transport,…

Materials Science · Physics 2013-07-31 R. Lipperheide , U. Wille

For electron transport in parallel-plane semiconducting structures, a model is developed that unifies ballistic and diffusive transport and thus generalizes the Drude model. The unified model is valid for arbitrary magnitude of the mean…

Materials Science · Physics 2009-11-07 R. Lipperheide , T. Weis , U. Wille

A theory of spin-polarized electron transport in ferromagnet/semiconductor heterostructures, based on a unified semiclassical description of ballistic and diffusive transport in semiconductor structures, is developed. The aim is to provide…

Materials Science · Physics 2009-11-11 R. Lipperheide , U. Wille

A theory of spin-polarized electron transport in ferromagnet-semiconductor heterostructures, based on a unified semiclassical description of ballistic and diffusive transport in semiconductors, is outlined. The aim is to provide a framework…

Materials Science · Physics 2007-05-23 R. Lipperheide , U. Wille

A recently developed model that unifies the ballistic and diffusive transport mechanisms is applied in a theoretical study of carrier transport across potential barriers at grain boundaries in microcrystalline semiconducting materials. In…

Materials Science · Physics 2009-11-07 T. Weis , R. Lipperheide , U. Wille , S. Brehme

We present a detailed microscopic study of quasi-ballistic transport in deep submicron semiconductor channels. In particular, we study the crossover between the diffusive and ballistic regimes of transport and identify signatures in the…

Materials Science · Physics 2007-05-23 Dan Csontos , Sergio E. Ulloa

We consider the steady-state nonequilibrium behavior of mesoscopic superconducting wires connected to normal-metal reservoirs. Going beyond the diffusive limit, we utilize the quasiclassical theory and perform a self-consistent calculation…

Superconductivity · Physics 2021-11-22 Kevin Marc Seja , Tomas Löfwander

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick

This paper presents a symmetric unified transport (UT) compact model for metal-oxide-semiconductor field-effect transistors (MOSFETs) that bridges drift-diffusion (DD) and ballistic transport (BT) regimes. The proposed model self…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Chien-Ting Tung

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

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

We analyze the transport properties of a semiconductor based bilayer system under non-equilibrium conditions with special emphasis on the charge transfer statistics in the regime dominated by the exciton transport. We consider two different…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 H. Soller , A. Komnik

We propose a unified diffusion-mobility relation which quantifies both quantum and classical levels of understanding on electron dynamics in ordered and disordered materials. This attempt overcomes the inability of classical Einstein…

Other Condensed Matter · Physics 2017-05-11 K. Navamani , Swapan K. Pati

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

We investigate the motion of charged particles in a turbulent electrostatic potential using guiding-center theory. By increasing the Larmor radius, the dynamics exhibit close-to-ballistic transport properties. The transition from diffusive…

Plasma Physics · Physics 2023-09-07 Matteo Stanzani , Filippo Arlotti , Guido Ciraolo , Xavier Garbet , Cristel Chandre

The intermediate transport regime in nanoscale transistors between the fully ballistic case and the quasi equilibrium case described by the drift-diffusion model is still an open modeling issue. Analytical approaches to the problem have…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 Paolo Michetti , Giorgio Mugnaini , Giuseppe Iannaccone

Bloch-Boltzmann transport theory fails to describe the carrier diffusion in current crystalline organic semiconductors, where the presence of large-amplitude thermal molecular motions causes substantial dynamical disorder. The charge…

Materials Science · Physics 2020-01-08 S. Fratini , S. Ciuchi

We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

Statistical Mechanics · Physics 2025-10-13 Jiayin Gu , Fan Zhang

We continue to develop a new approach to description of charge kinetics in disordered semiconductors. It is based on fractional diffusion equations. This article is devoted to transient processes in structures under dispersive transport…

Disordered Systems and Neural Networks · Physics 2013-10-02 Renat T. Sibatov , Vladimir V. Uchaikin

We have developed and applied a mobility edge model that takes into account drift and diffusion currents to characterize the space charge limited current in organic semiconductors. The numerical solution of the drift-diffusion equation…

Materials Science · Physics 2015-05-30 Javier Dacuña , Alberto Salleo
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