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Graphene Photonics || Electronic Properties

DOI:10.1017/9781108656870.003 出版年份:2018 更新时间:2025-09-16 10:30:52
摘要: The ?ow of free charge carriers, i.e., electrons in the conduction band or holes in the valence band, in a semiconductor that is subject to an electric ?eld is accelerated by the electric field but is hindered by scattering events. In a semiconductor, free carriers accelerate in the presence of an electric field. The randomly distributed scattering centers, such as impurities and defects, act as a counter force that decelerates and de?ects the carriers. When the steady state is eventually reached under a constant electric field, a constant ?ow of carriers is achieved. In graphene, by contrast, charge carriers on the Dirac cone have a constant speed and do not accelerate or decelerate in response to the electric field or the scattering centers; instead, the effect of the electric field is rather to align the motion of carriers to the direction of the electric field, and the scattering centers act as a source to disturb this alignment process. This process is well captured by the Boltzmann transport equation, which has successfully described many statistical behaviors of carriers in metals and semiconductors. The purpose of this chapter is to describe the electronic properties of graphene, starting from the Boltzmann transport equation.
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研究概述 实验方案

Investigating the electronic properties of graphene, focusing on the behavior of charge carriers under an electric field and the impact of scattering events, using the Boltzmann transport equation as a theoretical framework.

The study concludes that graphene's electronic properties, particularly its conductivity and resistivity, can be effectively described using the Boltzmann transport equation. The theory aligns with experimental observations, highlighting graphene's unique behavior under electric fields and the significant impact of scattering mechanisms on carrier transport.

The study is limited to DC electronic properties, considering time-independent electric fields and current densities. The analysis does not account for harmonic fields or complex field vectors. The theoretical model may not fully capture all quantum effects at very low carrier densities near the Dirac point.

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