Application of the Wigner‐Function Formulation toMesoscopic Systems in Presence of Electron‐PhononInteraction

Jacoboni, Carlo; Abramo, A.; Bordone, Paolo; Brunetti, Rossella; Pascoli, M.

doi:10.1155/1998/71098

Cited by 4 publications

(1 citation statement)

References 8 publications

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“…An integral equation for this function can be written [3] and applied to study quantum electron transport in presence of scattering in an open system occupaying a finite region inside given boundaries [4]. The problem is not trivial owing to the nonlocality of the interaction and to the presence of integrations over the space coordinates into the general equation for the WF.…”

Section: Theoretical Approachmentioning

confidence: 99%

Quantum Electron-Phonon Interaction for Transport in Open Nanostructures

Bordone¹,

Brunetti²,

Pascoli³

et al. 1998

Simulation of Semiconductor Processes and Devices 1998

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Section: Theoretical Approachmentioning

confidence: 99%

Quantum Electron-Phonon Interaction for Transport in Open Nanostructures

Bordone¹,

Brunetti²,

Pascoli³

et al. 1998

Simulation of Semiconductor Processes and Devices 1998

Self Cite

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Quantum transport of electrons in open nanostructures with the Wigner-function formalism

et al. 1999

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Unified particle approach to Wigner-Boltzmann transport in small semiconductor devices

et al. 2004

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Small semiconductor devices can be separated into regions where the electron transport has classical character, neighboring with regions where the transport requires a quantum description. The classical transport picture is associated with Boltzmann-like particles that evolve in the phase-space defined by the wave vector and real space coordinates. The evolution consists of consecutive processes of drift over Newton trajectories and scattering by phonons. In the quantum regions, a convenient description of the transport is given by the Wigner-function formalism. The latter retains most of the basic classical notions, particularly, the concepts for phase-space and distribution function, which provide the physical averages. In this work we show that the analogy between classical and Wigner transport pictures can be even closer. A particle model is associated with the Wigner-quantum transport. Particles are associated with a sign and thus become positive and negative. The sign is the only property of the particles related to the quantum information. All other aspects of their behavior resemble Boltzmann-like particles. The sign is taken into account in the evaluation of the physical averages. The sign has a physical meaning because positive and negative particles that meet in the phase space annihilate one another. The Wigner and Boltzmann transport pictures are explained in a unified way by the processes drift, scattering, generation, and recombination of positive and negative particles. The model ensures a seamless transition between the classical and quantum regions. A stochastic method is derived and applied to simulation of resonant-tunneling diodes. Our analysis shows that the method is useful if the physical quantities do not vary over several orders of magnitude inside a device.

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Application of the Wigner‐Function Formulation toMesoscopic Systems in Presence of Electron‐PhononInteraction

Cited by 4 publications

References 8 publications

Quantum Electron-Phonon Interaction for Transport in Open Nanostructures

Quantum Electron-Phonon Interaction for Transport in Open Nanostructures

Quantum transport of electrons in open nanostructures with the Wigner-function formalism

Unified particle approach to Wigner-Boltzmann transport in small semiconductor devices

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