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We propose a Schr\"odinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic effects through the Kane dispersion relation, thereby…

数学物理 · 物理学 2026-03-31 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

Schr\"odinger equation with given, {\it a priori} known current is formulated. A non-zero current density is maintained in the quantum system via a subsidiary condition imposed by vector, local Lagrange multiplier. Constrained minimization…

凝聚态物理 · 物理学 2009-11-07 D. S. Kosov

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…

介观与纳米尺度物理 · 物理学 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinates and the electron energy. The non-parabolic and parabolic…

统计力学 · 物理学 2007-05-23 S. F. Liotta , A. Majorana

Starting with the many-body Schr\"odinger equation we derive new rate equations for resonant transport in quantum dots linked by ballistic channels with high density of states. The charging and the Pauli exclusion principle effects were…

介观与纳米尺度物理 · 物理学 2009-10-30 S. A. Gurvitz

A unified theoretical description of ballistic and diffusive carrier transport in parallel-plane semiconductor structures is developed within the semiclassical model. The approach is based on the introduction of a thermo-ballistic current…

材料科学 · 物理学 2009-11-10 R. Lipperheide , U. Wille

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

统计力学 · 物理学 2007-05-23 S. F. Liotta , A. Majorana

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…

材料科学 · 物理学 2009-11-11 R. Lipperheide , U. Wille

The investigation of the electronic properties of semiconductors is inherently challenging due to the ensemble averaging of fundamentals to transport measurements (i.e., resistivity, Hall, and Seebeck coefficient measurements). Here, we…

材料科学 · 物理学 2021-08-11 Caitlin M. Crawford , Erik A. Bensen , Haley A. Vinton , Eric S. Toberer

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

材料科学 · 物理学 2007-12-18 Didier Mayou , Guy Trambly De Laissardière

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…

材料科学 · 物理学 2020-01-08 S. Fratini , S. Ciuchi

Traditionally, the understanding of quantum transport, coherent and ballistic1, relies on the measurement of macroscopic properties such as the conductance. While powerful when coupled to statistical theories, this approach cannot provide a…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Hackens , F. Martins , T. Ouisse , H. Sellier , S. Bollaert , X. Wallart , A. Cappy , J. Chevrier , V. Bayot , S. Huant

The space- and temperature-dependent electron distribution $n(\mathbf r,T)$ is essential for the theoretical description of the opto-electronic properties of disordered semiconductors. We present two powerful techniques to access $n(\mathbf…

无序系统与神经网络 · 物理学 2023-03-08 A. V. Nenashev , S. D. Baranovskii , K. Meerholz , F. Gebhard

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

材料科学 · 物理学 2012-12-10 S. Ciuchi , S. Fratini

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…

介观与纳米尺度物理 · 物理学 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

Recently observed Aharonov-Bohm quantum interference of period h/2e in charge density wave rings strongly suggest that correlated density wave electron transport is a cooperative quantum phenomenon. The picture discussed here posits that…

强关联电子 · 物理学 2015-05-30 J. H. Miller , A. I. Wijesinghe , Z. Tang , A. M. Guloy

We present a quaternion inspired formalism specifically developed to evaluate the intensity of the electrical current that traverses a single molecule connected to two semi-infinite electrodes as the applied external bias is varied. The…

介观与纳米尺度物理 · 物理学 2012-01-18 Augusto C. L. Moreira , Celso P. de Melo

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…

材料科学 · 物理学 2007-05-23 Dan Csontos , Sergio E. Ulloa

A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer - the capture of an electron by an ion passing another atom or more generally the problem of rearrangement…

量子物理 · 物理学 2009-11-07 N. Laskin , I. Tomski

A formulation for transport in an inhomogeneous, interacting electron gas is described. Electronic current is induced by a constraint condition imposed as a vector Lagrange multiplier. Constrained minimization of the total energy functional…

凝聚态物理 · 物理学 2009-11-07 D. S. Kosov , J. C. Greer
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